Patent Publication Number: US-2021165193-A1

Title: Photographing optical lens assembly, imaging apparatus and electronic device

Description:
RELATED APPLICATIONS 
     This application is a continuation of U.S. application Ser. No. 16/214,283, filed Dec. 10, 2018, which claims priority to Taiwan Application Serial Number 107117270, filed May 21, 2018, which are herein incorporated by references. 
    
    
     BACKGROUND 
     Technical Field 
     The present disclosure relates to a photographing optical lens assembly and an imaging apparatus. More particularly, the present disclosure relates to a photographing optical lens assembly and an imaging apparatus with a compact size applicable to electronic devices. 
     Description of Related Art 
     With the advanced semiconductor manufacturing technologies, the performances of image sensors are enhanced, and the pixel size is minified. Therefore, photographing optical lens assemblies with high image quality become indispensable. 
     Moreover, with the rapid scientific and technological progress, the application scope of electronic devices equipped with photographing optical lens assemblies becomes wider, and the requirements for photographing optical lens assemblies are more diverse. However, it is hard for balancing the requirements, such as image quality, sensitivity, aperture size, volume and field of view, in conventional photographing optical lens assemblies. Therefore, a photographing optical lens assembly is provided by the present disclosure to satisfy the desired requirement. 
     SUMMARY 
     According to one aspect of the present disclosure, a photographing optical lens assembly includes seven lens elements, the seven lens elements being, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and a seventh lens element. Each of the seven lens elements includes an object-side surface facing towards the object side and an image-side surface facing towards the image side. The image-side surface of the seventh lens element is concave in a paraxial region thereof and includes at least one inflection point in an off-axis region thereof. When a focal length of the photographing optical lens assembly is f, a focal length of the fourth lens element is f4, a focal length of the fifth lens element is f5, a focal length of the sixth lens element is f6, an Abbe number of the fourth lens element is V4, an Abbe number of the fifth lens element is V5, an Abbe number of the sixth lens element is V6, a minimum among Abbe numbers of all lens elements of the photographing optical lens assembly is Vmin, a curvature radius of the object-side surface of the second lens element is R3, and a curvature radius of the image-side surface of the second lens element is R4, the following conditions are satisfied: 
       | f/f 4|+| f/f 5|+| f/f 6|&lt;0.80; 
       30.0&lt; V 4+ V 5+ V 6&lt;90.0; 
       10.0&lt; V min&lt;22.0; and 
       −3.50&lt;( R 3− R 4)/( R 3+ R 4).
 
     According to another aspect of the present disclosure, an imaging apparatus includes the photographing optical lens assembly of the aforementioned aspect and an image sensor, wherein the image sensor is disposed on an image surface of the photographing optical lens assembly. 
     According to another aspect of the present disclosure, an electronic device includes at least two imaging apparatuses, which are a first imaging apparatus and a second imaging apparatus. The first imaging apparatus is the imaging apparatus of the aforementioned aspect. The second imaging apparatus includes an optical lens unit and an image sensor. The first imaging apparatus and the second imaging apparatus are facing the same side of the electronic device, and there is a difference of at least 20 degrees between a maximum field of view of the first imaging apparatus and a maximum field of view of the second imaging apparatus. 
     According to another aspect of the present disclosure, a photographing optical lens assembly includes seven lens elements, the seven lens elements being, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and a seventh lens element. Each of the seven lens elements includes an object-side surface facing towards the object side and an image-side surface facing towards the image side. The image-side surface of the seventh lens element is concave in a paraxial region thereof and includes at least one inflection point in an off-axis region thereof. When a focal length of the photographing optical lens assembly is f, a focal length of the fourth lens element is f4, a focal length of the fifth lens element is f5, a focal length of the sixth lens element is f6, an Abbe number of the fourth lens element is V4, an Abbe number of the fifth lens element is V5, an Abbe number of the sixth lens element is V6, a curvature radius of the object-side surface of the third lens element is R5, a curvature radius of the image-side surface of the third lens element is R6, and a curvature radius of the object-side surface of the fifth lens element is R9, the following conditions are satisfied: 
       | f/f 4|+| f/f 5|+| f/f 6|&lt;1.0; 
       30.0&lt; V 4+ V 5+ V 6&lt;85.0; 
       ( R 5+ R 6)/( R 5− R 6)&lt;0.80; and
 
       −1.50&lt; f/R 9&lt;1.20.
 
     According to another aspect of the present disclosure, a photographing optical lens assembly includes seven lens elements, the seven lens elements being, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and a seventh lens element. Each of the seven lens elements includes an object-side surface facing towards the object side and an image-side surface facing towards the image side. The object-side surface of the seventh lens element is convex in a paraxial region thereof, and the image-side surface of the seventh lens element is concave in a paraxial region thereof and includes at least one inflection point in an off-axis region thereof. When a focal length of the photographing optical lens assembly is f, a focal length of the third lens element is f3, a focal length of the fourth lens element is f4, a focal length of the fifth lens element is f5, a focal length of the sixth lens element is f6, an Abbe number of the fourth lens element is V4, an Abbe number of the fifth lens element is V5, and an Abbe number of the sixth lens element is V6, the following conditions are satisfied: 
       | f/f 4|+| f/f 5|+| f/f 6|&lt;0.80; 
       30.0&lt; V 4+ V 5+ V 6&lt;90.0; and 
       −0.60&lt; f/f 3&lt;2.50.
 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The present disclosure can be more fully understood by reading the following detailed description of the embodiment, with reference made to the accompanying drawings as follows: 
         FIG. 1  is a schematic view of an imaging apparatus according to the 1st embodiment of the present disclosure. 
         FIG. 2  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 1st embodiment. 
         FIG. 3  is a schematic view of an imaging apparatus according to the 2nd embodiment of the present disclosure. 
         FIG. 4  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 2nd embodiment. 
         FIG. 5  is a schematic view of an imaging apparatus according to the 3rd embodiment of the present disclosure. 
         FIG. 6  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 3rd embodiment. 
         FIG. 7  is a schematic view of an imaging apparatus according to the 4th embodiment of the present disclosure. 
         FIG. 8  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 4th embodiment. 
         FIG. 9  is a schematic view of an imaging apparatus according to the 5th embodiment of the present disclosure. 
         FIG. 10  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 5th embodiment. 
         FIG. 11  is a schematic view of an imaging apparatus according to the 6th embodiment of the present disclosure. 
         FIG. 12  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 6th embodiment. 
         FIG. 13  is a schematic view of an imaging apparatus according to the 7th embodiment of the present disclosure. 
         FIG. 14  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 7th embodiment. 
         FIG. 15  is a schematic view of an imaging apparatus according to the 8th embodiment of the present disclosure. 
         FIG. 16  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 8th embodiment. 
         FIG. 17  is a schematic view of an imaging apparatus according to the 9th embodiment of the present disclosure. 
         FIG. 18  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 9th embodiment. 
         FIG. 19  is a schematic view of an image capturing apparatus according to the 10th embodiment of the present disclosure. 
         FIG. 20  shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing apparatus according to the 10th embodiment. 
         FIG. 21  is a schematic view of an image capturing apparatus according to the 11th embodiment of the present disclosure. 
         FIG. 22  shows spherical aberration curves, astigmatic field curves and a distortion curve of the image capturing apparatus according to the 11th embodiment. 
         FIG. 23  is a three-dimensional schematic view of an imaging apparatus according to the 12th embodiment of the present disclosure. 
         FIG. 24A  is a schematic view of one side of an electronic device according to the 13th embodiment of the present disclosure. 
         FIG. 24B  is a schematic view of another side of the electronic device of  FIG. 24A . 
         FIG. 24C  is a system schematic view of the electronic device of  FIG. 24A . 
         FIG. 25  is a schematic view of one side of an electronic device according to the 14th embodiment of the present disclosure. 
         FIG. 26  is a schematic view of an electronic device according to the 15th embodiment of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
     A photographing optical lens assembly includes seven lens elements, the seven lens elements being, in order from an object side to an image side, a first lens element, a second lens element, a third lens element, a fourth lens element, a fifth lens element, a sixth lens element and a seventh lens element. Each of the seven lens elements includes an object-side surface facing towards the object side and an image-side surface facing towards the image side. 
     According to the photographing optical lens assembly of the present disclosure, there can be an air gap between each of adjacent lens elements of the first lens element, the second lens element, the third lens element, the fourth lens element, the fifth lens element, the sixth lens element and the seventh lens element, that is, each of the first through seventh lens elements of the photographing optical lens assembly is a single and non-cemented lens element. As a manufacturing process of the cemented lenses is more complex than one of the non-cemented lenses, in particular, cemented surfaces of lens elements need to have accurate curvature to ensure two lens elements will be highly cemented. However, during the cementing process, those two lens elements might not be highly cemented due to displacements and it is thereby not favorable for the image quality of the photographing optical lens assembly. Therefore, there can be an air gap between each of adjacent lens elements of the seven lens elements in the present disclosure for avoiding the problem associated with the cemented lens elements. 
     The object-side surface of the first lens element can be convex in a paraxial region thereof, and the image-side surface of the first lens element can be concave in a paraxial region thereof. Therefore, it is favorable for balancing the light path in the tangential direction and the light path in the sagittal direction so as to correct astigmatism of the photographing optical lens assembly. 
     The second lens element can have negative refractive power. Therefore, it is favorable for correcting aberrations generated by the first lens element so as to correct chromatic aberration and astigmatism. The object-side surface of the second lens element can be convex in a paraxial region thereof. Therefore, the object side of the photographing optical lens assembly is favorable for receiving light so as to satisfy the illuminance requirements of a photographing optical lens assembly with a large aperture. 
     The third lens element can have positive refractive power. Therefore, it is favorable for providing sufficient light converging ability for the photographing optical lens assembly so as to effectively miniaturize the photographing optical lens assembly and achieve the compact size. 
     The image-side surface of the sixth lens element can be concave in a paraxial region thereof and can include at least one inflection point in an off-axis region thereof. Therefore, it is favorable for positioning an image surface of the photographing optical lens assembly, so as to avoid the photographing optical lens assembly being overly large, correct peripheral aberrations and enhance the image quality. 
     The seventh lens element may have negative refractive power. Therefore, it is favorable for reducing the back focal length of the photographing optical lens assembly so as to achieve compactness. The object-side surface of the seventh lens element may be convex in a paraxial region thereof. Therefore, it is favorable for controlling the refractive power strength of the seventh lens element so as to enhance the image quality. The image-side surface of the seventh lens element is concave in a paraxial region thereof and includes at least one inflection point in an off-axis region thereof. Therefore, it is favorable for reducing the back focal length of the photographing optical lens assembly, so as to achieve compactness and further flatten a Petzval surface of the photographing optical lens assembly. 
     Each of at least five lens elements of the photographing optical lens assembly can have the object-side surface being convex in a paraxial region thereof and the image-side surface being concave in a paraxial region thereof. Therefore, it is favorable for reducing astigmatism, effectively controlling the back focal length of the photographing optical lens assembly, and achieving compactness. 
     When a focal length of the photographing optical lens assembly is f, a focal length of the fourth lens element is f4, a focal length of the fifth lens element is f5, and a focal length of the sixth lens element is f6, the following condition is satisfied: |f/f4|+|f/f5|+|f/f6|&lt;1.0. Therefore, it is favorable for improving the aberration correction ability of the fourth lens element, the fifth lens element and the sixth lens element so as to enhance the image quality of the photographing optical lens assembly. Preferably, the following condition can be satisfied: |f/f4|+|f/f5|+|f/f6|&lt;0.80. More preferably, the following condition can be satisfied: |f/f4|+|f/f5|+|f/f6|&lt;0.70. Further preferably, the following condition can be satisfied: |f/f4|+|f/f5|+|f/f6|≤0.60. 
     When an Abbe number of the fourth lens element is V4, an Abbe number of the fifth lens element is V5, and an Abbe number of the sixth lens element is V6, the following condition is satisfied: 30.0&lt;V4+V5+V6&lt;90.0. Therefore, it is favorable for increasing the density differences between air and the lens materials of the fourth lens element, the fifth lens element and the sixth lens element so as to better control the light path in limited space. Preferably, the following condition can be satisfied: 30.0&lt;V4+V5+V6&lt;85.0. More preferably, the following condition can be satisfied: 35.0&lt;V4+V5+V6&lt;80.0. Further preferably, the following condition can be satisfied: 40.0&lt;V4+V5+V6&lt;70.0. Still further preferably, the following condition can be satisfied: 45.0&lt;V4+V5+V6&lt;60.0. 
     When a minimum among Abbe numbers of all lens elements of the photographing optical lens assembly is Vmin, the following condition is satisfied: 10.0&lt;Vmin&lt;22.0. Therefore, it is favorable for balancing the light converging ability among different wavelengths of the photographing optical lens assembly so as to correct chromatic aberration. 
     When a curvature radius of the object-side surface of the second lens element is R3, and a curvature radius of the image-side surface of the second lens element is R4, the following condition is satisfied: −3.50&lt;(R3−R4)/(R3+R4). Therefore, it is favorable for maintaining the proper surface shape of the second lens element so as to balance the aberration correction of the photographing optical lens assembly. Preferably, the following condition can be satisfied: −3.0&lt;(R3−R4)/(R3+R4)&lt;10.0. More preferably, the following condition can be satisfied: −2.5&lt;(R3−R4)/(R3+R4)&lt;5.0. Further preferably, the following condition can be satisfied: −2.0&lt;(R3−R4)/(R3+R4)&lt;3.0. 
     When a curvature radius of the object-side surface of the third lens element is R5, and a curvature radius of the image-side surface of the third lens element is R6, the following condition is satisfied: (R5+R6)/(R5−R6)&lt;0.80. Therefore, it is favorable for providing the proper surface shape of the third lens element, so as to simultaneously strengthen the light refraction ability of the object-side surface of the third lens element and correct aberrations by the image-side surface of the third lens element. Preferably, the following condition can be satisfied: −2.50&lt;(R5+R6)/(R5−R6)&lt;0.50. More preferably, the following condition can be satisfied: −2.50&lt;(R5+R6)/(R5−R6)&lt;−1.0. 
     When a focal length of the photographing optical lens assembly is f, and a curvature radius of the object-side surface of the fifth lens element is R9, the following condition is satisfied: −1.50&lt;f/R9&lt;1.20. Therefore, it is favorable for providing the curvature of the object-side surface of the fifth lens element without being overly large, so as to receive light and to avoid excessive aberrations. Preferably, the following condition can be satisfied: −1.20&lt;f/R9&lt;0.55. 
     When the focal length of the photographing optical lens assembly is f, and a focal length of the third lens element is f3, the following condition is satisfied: −0.60&lt;f/f3&lt;2.50. Therefore, it is favorable for balancing the refractive power distribution of the third lens element while avoiding insufficient light convergence, so as to obtain higher image quality of the photographing optical lens assembly. Preferably, the following condition can be satisfied: −1.0&lt;f/f3&lt;1.50. 
     When the focal length of the photographing optical lens assembly is f, a focal length of the first lens element is f1, a focal length of the second lens element is f2, the focal length of the third lens element is f3, the focal length of the fourth lens element is f4, the focal length of the fifth lens element is f5, the focal length of the sixth lens element is f6, a focal length of the seventh lens element is f7, and a minimum value among |f/f1|, |f/f2|, |f/f3|, |f/f4|, |f/f5|, |f/f6| and |f/f7| is |f/fi|min, the following condition is satisfied: |f/fi|min&lt;0.10. Therefore, it provides at least one lens element of the photographing optical lens assembly for balancing the aberrations disposed between the object side and the image side of the said at least one lens element. Preferably, the following condition can be satisfied: |f/fi|min&lt;0.05. 
     When a central thickness of the first lens element is CT1, and a central thickness of the seventh lens element is CT7, the following condition is satisfied: 0.50&lt;CT7/CT1&lt;2.50. Therefore, it is favorable for the lens molding and maintaining a proper size of the photographing optical lens assembly by balancing the lens thicknesses arranged between the object side and the image side of the photographing optical lens assembly. 
     When a curvature radius of the object-side surface of the fourth lens element is R7, and a curvature radius of the image-side surface of the fourth lens element is R8, the following condition is satisfied: −0.20&lt;(R7−R8)/(R7+R8)&lt;2.50. Therefore, it is favorable for controlling the surface shape of the fourth lens element so as to correct astigmatism and coma. 
     When the focal length of the photographing optical lens assembly is f, a curvature radius of an object-side surface of a lens element of the photographing optical lens assembly is Rf, and a curvature radius of an image-side surface of the lens element of the photographing optical lens assembly is Rr, at least one lens element of the photographing optical lens assembly satisfies the following condition: |f/Rf|+|f/Rr|&lt;1.0. Therefore, it is favorable for providing the photographing optical lens assembly with at least one correction lens element so as to correct aberrations. Preferably, at least one lens element of the photographing optical lens assembly satisfies the following condition: |f/Rf|+|f/Rr|&lt;0.50. 
     When the focal length of the photographing optical lens assembly is f, and an entrance pupil diameter of the photographing optical lens assembly is EPD, the following condition is satisfied: 1.0&lt;f/EPD&lt;1.90. Therefore, it is favorable for effectively moderating the aperture size for the quantity of incoming light in the photographing optical lens assembly so as to increase the image brightness. 
     When an axial distance between the image-side surface of the seventh lens element and the image surface is BL, and an axial distance between the object-side surface of the first lens element and the image-side surface of the seventh lens element is TD, the following condition is satisfied: 0.05&lt;BL/TD&lt;0.30. Therefore, it is favorable for controlling the back focal length of the photographing optical lens assembly, so as to reduce the volume of the photographing optical lens assembly and achieve compactness. 
     When an axial distance between the object-side surface of the first lens element and the image surface is TL, and a maximum image height of the photographing optical lens assembly is ImgH, the following condition is satisfied: 1.20&lt;TL/ImgH&lt;1.75. Therefore, it is favorable for providing a sizeable area for receiving light of the photographing optical lens assembly so as to obtain sufficient image brightness and compactness. 
     When an Abbe number of the second lens element is V2, the following condition is satisfied: 10.0&lt;V2&lt;40.0. Therefore, it is for favorable for correcting chromatic aberration of the second lens element so as to avoid dispersion of imaging light from different light bands. 
     When the Abbe number of the fourth lens element is V4, the following condition is satisfied: 10.0&lt;V4&lt;30.0. Therefore, it is favorable for increasing the density differences between air and the material of the fourth lens element so as to better control the light path in limited space. 
     When the Abbe number of the sixth lens element is V6, the following condition is satisfied: 10.0&lt;V6&lt;40.0. Therefore, it is favorable for increasing the density differences between air and the material of the sixth lens element so as to obtain better light path control in limited space. 
     When the axial distance between the object-side surface of the first lens element and the image surface is TL, and the focal length of the photographing optical lens assembly is f, the following condition is satisfied: 0.90&lt;TL/f&lt;1.35. Therefore, it is favorable for balancing the total track length and the field of view of the photographing optical lens assembly. 
     When the curvature radius of the object-side surface of the third lens element is R5, and a central thickness of the third lens element is CT3, the following condition is satisfied: −50.0&lt;R5/CT3&lt;5.0. Therefore, it is favorable for balancing a curvature of the object-side surface of the third lens element and the thickness thereof so as to better control the light path on the object-side surface of the third lens element. Preferably, the following condition can be satisfied: 0&lt;R5/CT3&lt;5.0. 
     When the focal length of the photographing optical lens assembly is f, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, the focal length of the fourth lens element is f4, the focal length of the fifth lens element is f5, the focal length of the sixth lens element is f6, the focal length of the seventh lens element is f7, and a maximum value among |f/f1|, |f/f2|, |f/f3|, |f/f4|, |f/f5|, |f/f6| and |f/f7| is |f/fi|max, the following condition is satisfied: 0.50&lt;|f/fi|max&lt;1.25. Therefore, it can balance the refractive power distribution of the lens elements of the photographing optical lens assembly so as to avoid excessive aberrations resulted from overly large refractive power. 
     When an axial distance between the fifth lens element and the sixth lens element is T56, and an axial distance between the sixth lens element and the seventh lens element is T67, the following condition is satisfied: 0.10&lt;T56/T67&lt;1.50. Therefore, it is favorable for balanced spacing among the fifth lens element, the sixth lens element and the seventh lens element so as to reduce the photosensitivity in assembling the photographing optical lens assembly. 
     When the focal length of the first lens element is f1, and the focal length of the second lens element is f2, the following condition is satisfied: |f1/f2|&lt;1.50. Therefore, it is favorable for the first lens element having sufficient refractive power to control light path of the photographing optical lens assembly, and for balancing aberration corrections between the first lens element and the second lens element. 
     Abbe numbers of at least two of the seven lens elements of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Therefore, it can provide the proper materials of the lens elements of the photographing optical lens assembly with sufficient light control so as to balance focusing positions of different bands and avoid image overlaps. 
     The photographing optical lens assembly further includes an aperture stop. When an axial distance between the aperture stop and the image-side surface of the seventh lens element is SD, and the axial distance between the object-side surface of the first lens element and the image-side surface of the seventh lens element is TD, the following condition is satisfied: 0.77&lt;SD/TD&lt;0.95. Therefore, it is favorable for positioning of the aperture stop so as to control the volume of the photographing optical lens assembly. 
     When the maximum image height of the photographing optical lens assembly is ImgH, and the focal length of the photographing optical lens assembly is f, the following condition is satisfied: 0.70&lt;ImgH/f&lt;1.0. Therefore, it is favorable for moderating the field of view of the photographing optical lens assembly so as to be applicable to various fields. 
     Each of the aforementioned features of the photographing optical lens assembly can be utilized in numerous combinations, so as to achieve the corresponding functionality. 
     According to the photographing optical lens assembly of the present disclosure, the lens elements of the photographing optical lens assembly can be made of either glass or plastic material. When the lens elements are made of glass material, the refractive power distribution of the photographing optical lens assembly may be more flexible. The glass lens element can either be made by grinding or molding. When the lens elements are made of plastic material, the manufacturing cost can be effectively reduced. Furthermore, surfaces of each lens element can be arranged to be aspheric (ASP), which allows for more controllable variables for eliminating the aberration thereof, the required number of the lens elements can be decreased, and the total track length of the photographing optical lens assembly can be effectively reduced. The aspheric surfaces may be formed by plastic injection molding or glass molding. 
     According to the photographing optical lens assembly of the present disclosure, one or more of the lens material may optionally include an additive which alters the lens transmittance in a specific range of wavelength for reducing unwanted stray light or color deviation. For example, the additive may optionally filter out light in the wavelength range of 600 nm-800 nm for reducing excessive red light and/or near infra-red light, or may optionally filter out light in the wavelength range of 350 nm-450 nm to reduce excessive blue light and/or near ultra-violet light from interfering the final image. The additive may be homogenously mixed with a plastic material to be used in manufacturing a mixed-material lens element by injection molding. 
     According to the photographing optical lens assembly of the present disclosure, when a surface of a lens element is aspheric, it indicates that the complete optical effective area or a partial of the optical effective area of the surface of the lens element can be aspheric. 
     According to the photographing optical lens assembly of the present disclosure, each of an object-side surface and an image-side surface of a lens element has a paraxial region and an off-axis region. The paraxial region refers to the region of the surface where light rays travel close to the optical axis, and the off-axis region refers to the region of the surface away from the paraxial region. Particularly unless otherwise specified, when the lens element has a convex surface, it indicates that the surface can be convex in the paraxial region thereof; when the lens element has a concave surface, it indicates that the surface can be concave in the paraxial region thereof. According to the photographing optical lens assembly of the present disclosure, the refractive power of a lens element being positive or negative, or the focal length of the lens element may refer to the refractive power or the focal length in the paraxial region of the lens element. 
     According to the photographing optical lens assembly of the present disclosure, an inflection point is defined as a point where center of curvature is shifted from the object side to the image side (or from the image side to the object side) of a curve on a lens surface from a paraxial region thereof to an off-axis region thereof. 
     According to the photographing optical lens assembly of the present disclosure, the image surface, depending on the corresponding image sensor, can be a planar surface or a curved surface, particularly a curved surface being concave toward the object side. According to the photographing optical lens assembly of the present disclosure, at least one image correcting element (such as a field flattener) can be selectively disposed between a lens element closest to the image surface and the image surface so as to correct image aberrations (such as the field curvature). Properties of the image correcting element, such as curvature, thickness, refractive index, position, surface shape (convex/concave, spherical/aspheric/diffractive/Fresnel etc.) can be adjusted according to the requirements of the imaging apparatus. In general, the image correcting element is preferably a thin plano-concave element having a concave surface facing toward the object side and is disposed close to the image surface. 
     According to the photographing optical lens assembly of the present disclosure, the photographing optical lens assembly can include at least one stop. The stop can be a glare stop, a field stop, etc. Therefore, the stray light can be eliminated, and the image quality can be improved. 
     According to the photographing optical lens assembly of the present disclosure, an aperture stop can be configured as a front stop or a middle stop. A front stop is disposed between an imaged object and the first lens element, and a middle stop is disposed between the first lens element and the image surface. The front stop can provide a longer distance between an exit pupil of the photographing optical lens assembly and the image surface to enable a telecentric effect, and thereby can improve the image-sensing efficiency of an image sensor. The middle stop is favorable for enlarging the field of view of the photographing optical lens assembly and thereby provides a wider field of view for the same. 
     According to the photographing optical lens assembly of the present disclosure, a variable aperture element can be properly configured. The variable aperture element can be a mechanical part or a light control part, and the dimension and the shape of the variable aperture element can be electrically controlled. The mechanical part can include a moveable component such a blade group or a shielding plate. The light control part can include a screen component such as a light filter, an electrochromic material, a liquid crystal layer or the like. The amount of incoming light or the exposure time of the image can be controlled by the variable aperture element to enhance the image moderation ability. In addition, the variable aperture element can be the aperture stop of the photographing optical lens assembly according to the present disclosure, so as to moderate the image properties by changing f-number to control the depth of field or the exposure speed. 
     According to the photographing optical lens assembly of the present disclosure, the photographing optical lens assembly can be applied to 3D (three-dimensional) image capturing applications, in products such as digital cameras, mobile devices, digital tablets, smart TVs, network monitoring devices, motion sensing input devices, driving recorders, rear view camera systems, wearable devices, unmanned aerial vehicles, and other electronic imaging products. 
     According to the present disclosure, an imaging apparatus is provided. The imaging apparatus includes the aforementioned photographing optical lens assembly according to the present disclosure and an image sensor, wherein the image sensor is disposed on or near the image surface of the aforementioned photographing optical lens assembly. When specific conditions of the fourth lens element, the fifth lens element and the sixth lens element are satisfied, it is favorable for correcting aberrations of the fourth lens element, the fifth lens element and the sixth lens element so as to enhance the image quality of the photographing optical lens assembly. It is also favorable for increasing the density differences between air and the materials of the fourth lens element, the fifth lens element and the sixth lens element so as to better control the light path in limited space. Preferably, the imaging apparatus can further include a barrel member, a holder member or a combination thereof. 
     According to the present disclosure, an electronic device is provided, wherein the electronic device includes at least two imaging apparatuses, which can be the first imaging apparatus and the second imaging apparatus. The first imaging apparatus is the aforementioned imaging apparatus. The second imaging apparatus includes an optical lens unit and an image sensor, wherein the optical lens unit may be the aforementioned photographing optical lens assembly according to the present disclosure but not limited to. The first imaging apparatus and the second imaging apparatus are facing the same side of the electronic device, and there is a difference of at least 20 degrees between a maximum field of view of the first imaging apparatus and a maximum field of view of the second imaging apparatus. Therefore, it is favorable for enhancing the image quality and taking pictures of wide field of view. Preferably, the electronic device can further include, but not limited to, a control unit, a display, a storage unit, a random access memory unit (RAM) or a combination thereof. 
     According to the above description of the present disclosure, the following 1st-15th specific embodiments are provided for further explanation. 
     1st Embodiment 
       FIG. 1  is a schematic view of an imaging apparatus according to the 1st embodiment of the present disclosure.  FIG. 2  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 1st embodiment. In  FIG. 1 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  195 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  100 , a first lens element  110 , a second lens element  120 , a third lens element  130 , a stop  101 , a fourth lens element  140 , a fifth lens element  150 , a sixth lens element  160 , a seventh lens element  170 , a filter  180  and an image surface  190 . The image sensor  195  is disposed on the image surface  190  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 110 ,  120 ,  130 ,  140 ,  150 ,  160  and  170 ) without additional one or more lens elements inserted between the first lens element  110  and the seventh lens element  170 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  110  with positive refractive power has an object-side surface  111  being convex in a paraxial region thereof and an image-side surface  112  being concave in a paraxial region thereof. The first lens element  110  is made of a plastic material, and has the object-side surface  111  and the image-side surface  112  being both aspheric. 
     The second lens element  120  with negative refractive power has an object-side surface  121  being convex in a paraxial region thereof and an image-side surface  122  being concave in a paraxial region thereof. The second lens element  120  is made of a plastic material, and has the object-side surface  121  and the image-side surface  122  being both aspheric. 
     The third lens element  130  with positive refractive power has an object-side surface  131  being convex in a paraxial region thereof and an image-side surface  132  being concave in a paraxial region thereof. The third lens element  130  is made of a plastic material, and has the object-side surface  131  and the image-side surface  132  being both aspheric. 
     The fourth lens element  140  with positive refractive power has an object-side surface  141  being concave in a paraxial region thereof and an image-side surface  142  being convex in a paraxial region thereof. The fourth lens element  140  is made of a plastic material, and has the object-side surface  141  and the image-side surface  142  being both aspheric. 
     The fifth lens element  150  with negative refractive power has an object-side surface  151  being convex in a paraxial region thereof and an image-side surface  152  being concave in a paraxial region thereof. The fifth lens element  150  is made of a plastic material, and has the object-side surface  151  and the image-side surface  152  being both aspheric. 
     The sixth lens element  160  with positive refractive power has an object-side surface  161  being convex in a paraxial region thereof and an image-side surface  162  being convex in a paraxial region thereof. The sixth lens element  160  is made of a plastic material, and has the object-side surface  161  and the image-side surface  162  being both aspheric. Furthermore, the image-side surface  162  of the sixth lens element  160  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  170  with negative refractive power has an object-side surface  171  being convex in a paraxial region thereof and an image-side surface  172  being concave in a paraxial region thereof. The seventh lens element  170  is made of a plastic material, and has the object-side surface  171  and the image-side surface  172  being both aspheric. Furthermore, the image-side surface  172  of the seventh lens element  170  includes at least one inflection point in an off-axis region thereof. 
     The filter  180  is made of a glass material and located between the seventh lens element  170  and the image surface  190 , and will not affect the focal length of the photographing optical lens assembly. 
     Five lens elements ( 110 ,  120 ,  130 ,  150  and  170 ) of the photographing optical lens assembly in the 1st embodiment have the object-side surfaces ( 111 ,  120 ,  131 ,  151  and  171 ) being convex in the paraxial regions thereof and the image-side surfaces ( 112 ,  122 ,  132 ,  152  and  172 ) being concave in the paraxial regions thereof. 
     The equation of the aspheric surface profiles of the aforementioned lens elements of the 1st embodiment is expressed as follows: 
     
       
         
           
             
               
                 X 
                  
                 
                   ( 
                   Y 
                   ) 
                 
               
               = 
               
                 
                   
                     ( 
                     
                       
                         Y 
                         2 
                       
                       / 
                       R 
                     
                     ) 
                   
                   / 
                   
                     ( 
                     
                       1 
                       + 
                       
                         s 
                          
                         q 
                          
                         r 
                          
                         
                           t 
                            
                           
                             ( 
                             
                               1 
                               - 
                               
                                 
                                   ( 
                                   
                                     1 
                                     + 
                                     k 
                                   
                                   ) 
                                 
                                 × 
                                 
                                   
                                     ( 
                                     
                                       Y 
                                       / 
                                       R 
                                     
                                     ) 
                                   
                                   2 
                                 
                               
                             
                             ) 
                           
                         
                       
                     
                     ) 
                   
                 
                 + 
                 
                   
                     ∑ 
                     i 
                   
                    
                   
                     
                       ( 
                       Ai 
                       ) 
                     
                     × 
                     
                       ( 
                       
                         Y 
                         i 
                       
                       ) 
                     
                   
                 
               
             
             , 
           
         
       
     
     where, 
     X is the relative distance between a point on the aspheric surface spaced at a distance Y from the optical axis and the tangential plane at the aspheric surface vertex on the optical axis; 
     Y is the vertical distance from the point on the aspheric surface to the optical axis; 
     R is the curvature radius; 
     k is the conic coefficient; and 
     Ai is the i-th aspheric coefficient. 
     In the photographing optical lens assembly according to the 1st embodiment, when a focal length of the photographing optical lens assembly is f, an f-number of the photographing optical lens assembly is Fno, and a half of a maximum field of view of the photographing optical lens assembly is HFOV, these parameters have the following values: f=4.67 mm; Fno=1.70; and HFOV=39.5 degrees. 
     In the photographing optical lens assembly according to the 1st embodiment, when an Abbe number of the first lens element  110  is V1, an Abbe number of the second lens element  120  is V2, an Abbe number of the third lens element  130  is V3, an Abbe number of the fourth lens element  140  is V4, an Abbe number of the fifth lens element  150  is V5, an Abbe number of the sixth lens element  160  is V6, an Abbe number of the seventh lens element  170  is V7, and a minimum among Abbe numbers of all lens elements of the photographing optical lens assembly is Vmin (i.e. a minimum among V1, V2, V3, V4, V5, V6 and V7, and Vmin=V2=V4=V5=V6 in the 1st embodiment), the following conditions are satisfied: V2=19.5; V4=19.5; V6=19.5; Vmin=19.5; and V4+V5+V6=58.5. Furthermore, in the 1st embodiment, Abbe numbers (V2, V4, V5, and V6) of four lens elements (the second lens element  120 , the fourth lens element  140 , the fifth lens element  150  and the sixth lens element  160 ) respectively are greater than 10.0 and smaller than 22.0. 
     In the photographing optical lens assembly according to the 1st embodiment, when an axial distance between the fifth lens element  150  and the sixth lens element  160  is T56, and an axial distance between the sixth lens element  160  and the seventh lens element  170  is T67, the following condition is satisfied: T56/T67=1.28. 
     In the photographing optical lens assembly according to the 1st embodiment, when a central thickness of the first lens element  110  is CT1, and a central thickness of the seventh lens element  170  is CT7, the following condition is satisfied: CT7/CT1=2.30. 
     In the photographing optical lens assembly according to the 1st embodiment, when a curvature radius of the object-side surface  131  of the third lens element  130  is R5, and a central thickness of the third lens element  130  is CT3, the following condition is satisfied: R5/CT3=4.17. 
     In the photographing optical lens assembly according to the 1st embodiment, when the focal length of the photographing optical lens assembly is f, and a curvature radius of the object-side surface  151  of the fifth lens element  150  is R9, the following condition is satisfied: f/R9=0.28. 
     In the photographing optical lens assembly according to the 1st embodiment, when a curvature radius of the object-side surface  121  of the second lens element  120  is R3, a curvature radius of the image-side surface  122  of the second lens element  120  is R4, the curvature radius of the object-side surface  131  of the third lens element  130  is R5, a curvature radius of the image-side surface  132  of the third lens element  130  is R6, a curvature radius of the object-side surface  141  of the fourth lens element  140  is R7, and a curvature radius of the image-side surface  142  of the fourth lens element  140  is R8, the following conditions are satisfied: (R3−R4)/(R3+R4)=0.12; (R5+R6)/(R5−R6)=−1.40; and (R7−R8)/(R7+R8)=0.10. 
     In the photographing optical lens assembly according to the 1st embodiment, when the focal length of the photographing optical lens assembly is f, a focal length of the first lens element  110  is f1, a focal length of the second lens element  120  is f2, a focal length of the third lens element  130  is f3, a focal length of the fourth lens element  140  is f4, a focal length of the fifth lens element  150  is f5, a focal length of the sixth lens element  160  is f6, a focal length of the seventh lens element  170  is f7, a minimum value among |f/f1|, |f/f2|, |f/f3|, |f/f4|, |f/f5|, |f/f6| and |f/f7| is |f/fi|min (|f/fi|min=|f/f4| in the 1st embodiment), and a maximum value among |f/f1|, |f/f2|, |f/f3|, |f/f4|, |f/f5|, |f/f6| and |f/f7| is |f/fi|max (|f/fi|max=|f/f3| in the 1st embodiment), the following conditions are satisfied: f/f3=0.88; |f1/f2|=0.60; |f/fi|min=0.019; |f/fi|max=0.88; and |f/f4|+|f/f5|+|f/f6|=0.28. 
     In the photographing optical lens assembly according to the 1st embodiment, when the focal length of the photographing optical lens assembly is f, an entrance pupil diameter of the photographing optical lens assembly is EPD, an axial distance between the object-side surface  111  of the first lens element  110  and the image surface  190  is TL, an axial distance between the aperture stop  100  and the image-side surface  172  of the seventh lens element  170  is SD, an axial distance between the object-side surface  111  of the first lens element  110  and the image-side surface  172  of the seventh lens element  170  is TD, a maximum image height of the photographing optical lens assembly is ImgH, and an axial distance between the image-side surface  172  of the seventh lens element  170  and the image surface  190  is BL, the following conditions are satisfied: f/EPD=1.70; TL/f=1.20; SD/TD=0.88; TL/ImgH=1.43; BL/TD=0.19; and ImgH/f=0.84. 
     In the photographing optical lens assembly according to the 1st embodiment, when the focal length of the photographing optical lens assembly is f, a curvature radius of the object-side surface  111  of the first lens element  110  is R1, a curvature radius of the image-side surface  112  of the first lens element  110  is R2, the curvature radius of the object-side surface  121  of the second lens element  120  is R3, the curvature radius of the image-side surface  122  of the second lens element  120  is R4, the curvature radius of the object-side surface  131  of the third lens element  130  is R5, the curvature radius of the image-side surface  132  of the third lens element  130  is R6, the curvature radius of the object-side surface  141  of the fourth lens element  140  is R7, the curvature radius of the image-side surface  142  of the fourth lens element  140  is R8, the curvature radius of the object-side surface  151  of the fifth lens element  150  is R9, a curvature radius of the image-side surface  152  of the fifth lens element  150  is R10, a curvature radius of the object-side surface  161  of the sixth lens element  160  is R11, a curvature radius of the image-side surface  162  of the sixth lens element  160  is R12, a curvature radius of the object-side surface  171  of the seventh lens element  170  is R13, and a curvature radius of the image-side surface  172  of the seventh lens element  170  is R14, the following conditions are satisfied: |f/R1|+|f/R2|=3.93; |f/R3|+|f/R4|=5.49; |f/R5|+|f/R6|=2.20; |f/R7|+|f/R8|=0.27; |f/R9|+|f/R10|=0.88; |f/R11|+|f/R12|=0.07; and |f/R13|+|f/R14|=3.21. In other words, a curvature radius of an object-side surface of a lens element of the photographing optical lens assembly is Rf, a curvature radius of an image-side surface of the lens element is Rr, and the following condition is satisfied by three lens elements (the fourth lens element  140 , the fifth lens element  150  and the sixth lens element  160 ) of the photographing optical lens assembly in the 1st embodiment: |f/Rf|+|f/Rr|&lt;1.0. 
     The detailed optical data of the 1st embodiment are shown in TABLE 1 and the aspheric surface data are shown in TABLE 2 below. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 1st Embodiment 
               
               
                 f = 4.67 mm, Fno = 1.70, HFOV = 39.5 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.580  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 1.910 
                 ASP 
                 0.473 
                 Plastic 
                 1.545 
                 56.1 
                 7.84 
               
               
                 3 
                   
                 3.154 
                 ASP 
                 0.047 
               
               
                 4 
                 Lens 2 
                 1.943 
                 ASP 
                 0.229 
                 Plastic 
                 1.669 
                 19.5 
                 −12.95 
               
               
                 5 
                   
                 1.512 
                 ASP 
                 0.100 
               
               
                 6 
                 Lens 3 
                 2.482 
                 ASP 
                 0.595 
                 Plastic 
                 1.555 
                 60.3 
                 5.28 
               
               
                 7 
                   
                 14.756 
                 ASP 
                 0.153 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.263 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −39.172 
                 ASP 
                 0.334 
                 Plastic 
                 1.669 
                 19.5 
                 246.84 
               
               
                 10 
                   
                 −31.768 
                 ASP 
                 0.387 
               
               
                 11 
                 Lens 5 
                 16.903 
                 ASP 
                 0.417 
                 Plastic 
                 1.669 
                 19.5 
                 −21.76 
               
               
                 12 
                   
                 7.743 
                 ASP 
                 0.151 
               
               
                 13 
                 Lens 6 
                 76.779 
                 ASP 
                 0.351 
                 Plastic 
                 1.669 
                 19.5 
                 94.10 
               
               
                 14 
                   
                 −348.432 
                 ASP 
                 0.118 
               
               
                 15 
                 Lens 7 
                 4.322 
                 ASP 
                 1.088 
                 Plastic 
                 1.534 
                 55.9 
                 −10.18 
               
               
                 16 
                   
                 2.197 
                 ASP 
                 0.500 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.188 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.196 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                 1.3625E−01 
                 2.2612E+00 
                 −3.1773E−02 
                 −1.6611E−01 
                 1.0402E+00 
                 5.2883E+01 
                 −9.0000E+01 
               
               
                 A4 = 
                 4.1655E−04 
                 −7.6148E−02  
                 −1.8853E−01 
                 −1.7043E−01 
                 −3.8647E−02  
                 −1.6359E−02  
                 −3.7020E−02 
               
               
                 A6 = 
                 5.6857E−03 
                 1.8124E−01 
                  2.8800E−01 
                  1.9166E−01 
                 5.2566E−02 
                 4.6647E−02 
                 −7.7482E−02 
               
               
                 A8 = 
                 −5.5485E−03  
                 −1.9283E−01  
                 −3.1164E−01 
                 −1.8158E−01 
                 −3.5278E−02  
                 −1.4502E−01  
                  1.6087E−01 
               
               
                 A10 = 
                 5.4235E−04 
                 9.4729E−02 
                  1.7572E−01 
                  7.6380E−02 
                 4.1718E−03 
                 2.1702E−01 
                 −1.9837E−01 
               
               
                 A12 = 
                 9.1908E−04 
                 −1.9654E−02  
                 −4.7656E−02 
                 −6.6649E−03 
                 3.2014E−03 
                 −1.5261E−01  
                  1.2133E−01 
               
               
                 A14 = 
                 −4.6688E−04  
                 9.5058E−04 
                  4.8027E−03 
                 −2.9692E−03 
                 6.5281E−04 
                 4.3430E−02 
                 −2.7139E−02 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                  1.6561E+00 
                 −7.6395E+01 
                 −7.5638E+01 
                  9.0000E+01 
                 −9.0000E+01 
                 −4.7442E−01 
                 −9.1830E−01 
               
               
                 A4 = 
                 −5.4332E−02 
                 −9.6023E−02 
                 −1.2054E−01 
                  2.0864E−02 
                  5.1134E−02 
                 −1.4257E−01 
                 −1.1405E−01 
               
               
                 A6 = 
                  1.5656E−02 
                  8.6534E−02 
                  1.5906E−01 
                 −2.1481E−02 
                 −3.0556E−02 
                  7.3973E−02 
                  4.2970E−02 
               
               
                 A8 = 
                 −5.4411E−02 
                 −8.8992E−02 
                 −1.7020E−01 
                 −2.8472E−02 
                 −2.0319E−02 
                 −3.4526E−02 
                 −1.4096E−02 
               
               
                 A10 = 
                  7.5042E−02 
                  3.1339E−02 
                  9.9774E−02 
                  1.4246E−02 
                  2.0095E−02 
                  1.1636E−02 
                  3.2865E−03 
               
               
                 A12 = 
                 −5.9268E−02 
                 −4.1678E−03 
                 −3.6218E−02 
                 −4.8582E−04 
                 −6.9751E−03 
                 −2.4268E−03 
                 −5.0691E−04 
               
               
                 A14 = 
                  2.6715E−02 
                 −8.0389E−04 
                  7.5708E−03 
                 −7.7506E−04 
                  1.2612E−03 
                  2.9451E−04 
                  4.8242E−05 
               
               
                 A16 = 
                 −4.5963E−03 
                   
                 −6.7089E−04 
                  1.5051E−04 
                 −1.2031E−04 
                 −1.9097E−05 
                 −2.5476E−06 
               
               
                 A18 = 
                   
                   
                   
                 −8.3141E−06 
                  4.8230E−06 
                  5.1296E−07 
                  5.6903E−08 
               
               
                   
               
            
           
         
       
     
     In TABLE 1, the curvature radius, the thickness and the focal length are shown in millimeters (mm). Surface numbers 0-19 represent the surfaces sequentially arranged from the object-side to the image-side along the optical axis. In TABLE 2, k represents the conic coefficient of the equation of the aspheric surface profiles. A4-A18 represent the aspheric coefficients ranging from the 4th order to the 18th order. The tables presented below for each embodiment are the corresponding schematic parameter and aberration curves, and the definitions of the tables are the same as TABLE 1 and TABLE 2 of the 1st embodiment. Therefore, an explanation in this regard will not be provided again. 
     2nd Embodiment 
       FIG. 3  is a schematic view of an imaging apparatus according to the 2nd embodiment of the present disclosure.  FIG. 4  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 2nd embodiment. In  FIG. 3 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  295 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  200 , a first lens element  210 , a second lens element  220 , a third lens element  230 , a stop  201 , a fourth lens element  240 , a fifth lens element  250 , a sixth lens element  260 , a seventh lens element  270 , a filter  280  and an image surface  290 . The image sensor  295  is disposed on the image surface  290  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 210 ,  220 ,  230 ,  240 ,  250 ,  260  and  270 ) without additional one or more lens elements inserted between the first lens element  210  and the seventh lens element  270 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  210  with positive refractive power has an object-side surface  211  being convex in a paraxial region thereof and an image-side surface  212  being concave in a paraxial region thereof. The first lens element  210  is made of a plastic material, and has the object-side surface  211  and the image-side surface  212  being both aspheric. 
     The second lens element  220  with negative refractive power has an object-side surface  221  being convex in a paraxial region thereof and an image-side surface  222  being concave in a paraxial region thereof. The second lens element  220  is made of a plastic material, and has the object-side surface  221  and the image-side surface  222  being both aspheric. 
     The third lens element  230  with positive refractive power has an object-side surface  231  being convex in a paraxial region thereof and an image-side surface  232  being convex in a paraxial region thereof. The third lens element  230  is made of a plastic material, and has the object-side surface  231  and the image-side surface  232  being both aspheric. 
     The fourth lens element  240  with negative refractive power has an object-side surface  241  being concave in a paraxial region thereof and an image-side surface  242  being convex in a paraxial region thereof. The fourth lens element  240  is made of a plastic material, and has the object-side surface  241  and the image-side surface  242  being both aspheric. 
     The fifth lens element  250  with positive refractive power has an object-side surface  251  being concave in a paraxial region thereof and an image-side surface  252  being convex in a paraxial region thereof. The fifth lens element  250  is made of a plastic material, and has the object-side surface  251  and the image-side surface  252  being both aspheric. 
     The sixth lens element  260  with negative refractive power has an object-side surface  261  being convex in a paraxial region thereof and an image-side surface  262  being concave in a paraxial region thereof. The sixth lens element  260  is made of a plastic material, and has the object-side surface  261  and the image-side surface  262  being both aspheric. Furthermore, the image-side surface  262  of the sixth lens element  260  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  270  with negative refractive power has an object-side surface  271  being convex in a paraxial region thereof and an image-side surface  272  being concave in a paraxial region thereof. The seventh lens element  270  is made of a plastic material, and has the object-side surface  271  and the image-side surface  272  being both aspheric. Furthermore, the image-side surface  272  of the seventh lens element  270  includes at least one inflection point in an off-axis region thereof. 
     The filter  280  is made of a glass material and located between the seventh lens element  270  and the image surface  290 , and will not affect the focal length of the photographing optical lens assembly. 
     The detailed optical data of the 2nd embodiment are shown in TABLE 3 and the aspheric surface data are shown in TABLE 4 below. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 2nd Embodiment 
               
               
                 f = 4.05 mm, Fno = 1.45, HFOV = 39.5 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.390  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.208 
                 ASP 
                 0.488 
                 Plastic 
                 1.545 
                 56.0 
                 8.22 
               
               
                 3 
                   
                 4.016 
                 ASP 
                 0.030 
               
               
                 4 
                 Lens 2 
                 2.103 
                 ASP 
                 0.230 
                 Plastic 
                 1.660 
                 20.4 
                 −9.66 
               
               
                 5 
                   
                 1.512 
                 ASP 
                 0.115 
               
               
                 6 
                 Lens 3 
                 2.355 
                 ASP 
                 0.665 
                 Plastic 
                 1.544 
                 55.9 
                 4.14 
               
               
                 7 
                   
                 −47.070 
                 ASP 
                 0.000 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.330 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −9.651 
                 ASP 
                 0.280 
                 Plastic 
                 1.660 
                 20.4 
                 −145.21 
               
               
                 10 
                   
                 −10.856 
                 ASP 
                 0.341 
               
               
                 11 
                 Lens 5 
                 −3.756 
                 ASP 
                 0.451 
                 Plastic 
                 1.566 
                 37.4 
                 9.97 
               
               
                 12 
                   
                 −2.353 
                 ASP 
                 0.053 
               
               
                 13 
                 Lens 6 
                 3.677 
                 ASP 
                 0.589 
                 Plastic 
                 1.688 
                 18.7 
                 −19.00 
               
               
                 14 
                   
                 2.682 
                 ASP 
                 0.485 
               
               
                 15 
                 Lens 7 
                 5.177 
                 ASP 
                 0.370 
                 Plastic 
                 1.544 
                 55.9 
                 −5.67 
               
               
                 16 
                   
                 1.884 
                 ASP 
                 0.200 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.396 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.160 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                  1.7456E−01 
                 −3.4621E+01 
                 −1.2104E+00 
                 −8.2875E−01 
                 −1.3549E+01 
                 −8.3489E+01 
                 −2.9584E+01 
               
               
                 A4 = 
                 −5.1106E−04 
                  7.3150E−02 
                 −8.8802E−02 
                 −1.3810E−01 
                  8.8817E−02 
                 −3.0360E−02 
                 −1.2030E−01 
               
               
                 A6 = 
                 −9.4003E−03 
                 −7.9343E−02 
                  4.9736E−02 
                  1.0880E−01 
                 −7.7278E−02 
                 −3.8535E−03 
                  2.8337E−02 
               
               
                 A8 = 
                  1.6369E−03 
                  4.6589E−02 
                 −4.7243E−02 
                 −8.7711E−02 
                  8.4530E−02 
                  2.2067E−04 
                 −9.5762E−02 
               
               
                 A10 = 
                 −2.1212E−03 
                 −1.6629E−02 
                  3.8832E−02 
                  4.2081E−02 
                 −7.9332E−02 
                 −5.8776E−05 
                  1.3262E−01 
               
               
                 A12 = 
                  3.0256E−05 
                  1.9837E−03 
                 −1.6662E−02 
                 −1.0770E−02 
                  3.9663E−02 
                 −1.8758E−04 
                 −8.3328E−02 
               
               
                 A14 = 
                   
                   
                  2.5021E−03 
                  9.9730E−04 
                 −7.4806E−03 
                  1.0607E−04 
                  2.3937E−02 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −2.3326E−03 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                 −4.0395E+01 
                 −4.1515E+01 
                 −9.8656E+00 
                 −4.6095E+01 
                 −7.7981E+00 
                 −9.0000E+01 
                 −4.0532E+00 
               
               
                 A4 = 
                 −9.4815E−02 
                 −4.2891E−02 
                  1.0382E−02 
                  5.5167E−02 
                 −3.1916E−02 
                 −1.4162E−01 
                 −1.6126E−01 
               
               
                 A6 = 
                  4.9041E−02 
                  3.8433E−01 
                  6.8445E−02 
                 −1.8739E−01 
                 −3.3584E−02 
                 −2.0917E−02 
                  7.1269E−02 
               
               
                 A8 = 
                 −1.3130E−01 
                 −1.0995E+00 
                 −2.3876E−01 
                  1.6406E−01 
                  3.2596E−02 
                  4.6379E−02 
                 −3.0054E−02 
               
               
                 A10 = 
                  1.4107E−01 
                  1.6970E+00 
                  3.2635E−01 
                 −9.5214E−02 
                 −1.7009E−02 
                 −1.8932E−02 
                  1.0542E−02 
               
               
                 A12 = 
                 −6.8158E−02 
                 −1.6601E+00 
                 −2.5975E−01 
                  3.7093E−02 
                  5.3169E−03 
                  4.1463E−03 
                 −2.4818E−03 
               
               
                 A14 = 
                  1.0638E−02 
                  1.0190E+00 
                  1.1990E−01 
                 −1.1990E−02 
                 −1.0078E−03 
                 −5.5558E−04 
                  3.6526E−04 
               
               
                 A16 = 
                  2.1380E−03 
                 −3.7678E−01 
                 −3.0798E−02 
                  3.1889E−03 
                  1.1459E−04 
                  4.5577E−05 
                 −3.2245E−05 
               
               
                 A18 = 
                 −6.3511E−04 
                  7.5603E−02 
                  4.0405E−03 
                 −5.1298E−04 
                 −7.2536E−06 
                 −2.0978E−06 
                  1.5595E−06 
               
               
                 A20 = 
                   
                 −6.2369E−03 
                 −2.0967E−04 
                  3.3536E−05 
                  1.9727E−07 
                  4.1274E−08 
                 −3.1694E−08 
               
               
                   
               
            
           
         
       
     
     In the 2nd embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 2nd embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 3 and TABLE 4 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 2nd Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.05 
                 |f/fi|min 
                 0.028 
               
               
                   
                 Fno 
                 1.45 
                 |f/fi|max 
                 0.98 
               
               
                   
                 HFOV [deg.] 
                 39.5 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.65 
               
               
                   
                 V2 
                 20.4 
                 f/EPD 
                 1.45 
               
               
                   
                 V4 
                 20.4 
                 TL/f 
                 1.29 
               
               
                   
                 V6 
                 18.7 
                 SD/TD 
                 0.91 
               
               
                   
                 Vmin 
                 18.7 
                 TL/ImgH 
                 1.53 
               
               
                   
                 V4 + V5 + V6 
                 76.5 
                 BL/TD 
                 0.18 
               
               
                   
                 T56/T67 
                 0.11 
                 ImgH/f 
                 0.85 
               
               
                   
                 CT7/CT1 
                 0.76 
                 |f/R1| + |f/R2| 
                 2.84 
               
               
                   
                 R5/CT3 
                 3.54 
                 |f/R3| + |f/R4| 
                 4.60 
               
               
                   
                 f/R9 
                 −1.08 
                 |f/R5| + |f/R6| 
                 1.81 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.16 
                 |f/R7| + |f/R8| 
                 0.79 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −0.90 
                 |f/R9| + |f/R10| 
                 2.80 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 −0.06 
                 |f/R11| + |f/R12| 
                 2.61 
               
               
                   
                 f/f3 
                 0.98 
                 |f/R13| + |f/R14| 
                 2.93 
               
               
                   
                 |f1/f2| 
                 0.85 
               
               
                   
                   
               
            
           
         
       
     
     In the 2nd embodiment, Abbe numbers of three lens elements ( 220 ,  240  and  260 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by one lens element ( 240 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     3rd Embodiment 
       FIG. 5  is a schematic view of an imaging apparatus according to the 3rd embodiment of the present disclosure.  FIG. 6  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 3rd embodiment. In  FIG. 5 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  395 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  300 , a first lens element  310 , a second lens element  320 , a third lens element  330 , a stop  301 , a fourth lens element  340 , a fifth lens element  350 , a sixth lens element  360 , a seventh lens element  370 , a filter  380  and an image surface  390 . The image sensor  395  is disposed on the image surface  390  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 310 ,  320 ,  330 ,  340 ,  350 ,  360  and  370 ) without additional one or more lens elements inserted between the first lens element  310  and the seventh lens element  370 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  310  with positive refractive power has an object-side surface  311  being convex in a paraxial region thereof and an image-side surface  312  being concave in a paraxial region thereof. The first lens element  310  is made of a plastic material, and has the object-side surface  311  and the image-side surface  312  being both aspheric. 
     The second lens element  320  with negative refractive power has an object-side surface  321  being convex in a paraxial region thereof and an image-side surface  322  being concave in a paraxial region thereof. The second lens element  320  is made of a plastic material, and has the object-side surface  321  and the image-side surface  322  being both aspheric. 
     The third lens element  330  with positive refractive power has an object-side surface  331  being convex in a paraxial region thereof and an image-side surface  332  being concave in a paraxial region thereof. The third lens element  330  is made of a plastic material, and has the object-side surface  331  and the image-side surface  332  being both aspheric. 
     The fourth lens element  340  with negative refractive power has an object-side surface  341  being concave in a paraxial region thereof and an image-side surface  342  being concave in a paraxial region thereof. The fourth lens element  340  is made of a plastic material, and has the object-side surface  341  and the image-side surface  342  being both aspheric. 
     The fifth lens element  350  with positive refractive power has an object-side surface  351  being concave in a paraxial region thereof and an image-side surface  352  being convex in a paraxial region thereof. The fifth lens element  350  is made of a plastic material, and has the object-side surface  351  and the image-side surface  352  being both aspheric. 
     The sixth lens element  360  with positive refractive power has an object-side surface  361  being convex in a paraxial region thereof and an image-side surface  362  being concave in a paraxial region thereof. The sixth lens element  360  is made of a plastic material, and has the object-side surface  361  and the image-side surface  362  being both aspheric. Furthermore, the image-side surface  362  of the sixth lens element  360  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  370  with negative refractive power has an object-side surface  371  being concave in a paraxial region thereof and an image-side surface  372  being concave in a paraxial region thereof. The seventh lens element  370  is made of a plastic material, and has the object-side surface  371  and the image-side surface  372  being both aspheric. Furthermore, the image-side surface  372  of the seventh lens element  370  includes at least one inflection point in an off-axis region thereof. 
     The filter  380  is made of a glass material and located between the seventh lens element  370  and the image surface  390 , and will not affect the focal length of the photographing optical lens assembly. 
     The detailed optical data of the 3rd embodiment are shown in TABLE 5 and the aspheric surface data are shown in TABLE 6 below. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 3rd Embodiment 
               
               
                 f = 4.30 mm, Fno = 1.45, HFOV = 37.8 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.400  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.185 
                 ASP 
                 0.607 
                 Plastic 
                 1.545 
                 56.0 
                 6.37 
               
               
                 3 
                   
                 5.317 
                 ASP 
                 0.030 
               
               
                 4 
                 Lens 2 
                 2.543 
                 ASP 
                 0.230 
                 Plastic 
                 1.660 
                 20.4 
                 −8.41 
               
               
                 5 
                   
                 1.682 
                 ASP 
                 0.140 
               
               
                 6 
                 Lens 3 
                 2.408 
                 ASP 
                 0.602 
                 Plastic 
                 1.544 
                 55.9 
                 5.02 
               
               
                 7 
                   
                 18.517 
                 ASP 
                 0.100 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.277 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −131.778 
                 ASP 
                 0.298 
                 Plastic 
                 1.660 
                 20.4 
                 −42.66 
               
               
                 10 
                   
                 35.830 
                 ASP 
                 0.280 
               
               
                 11 
                 Lens 5 
                 −5.247 
                 ASP 
                 0.464 
                 Plastic 
                 1.566 
                 37.4 
                 10.17 
               
               
                 12 
                   
                 −2.833 
                 ASP 
                 0.050 
               
               
                 13 
                 Lens 6 
                 2.907 
                 ASP 
                 0.376 
                 Plastic 
                 1.660 
                 20.4 
                 124.64 
               
               
                 14 
                   
                 2.858 
                 ASP 
                 0.747 
               
               
                 15 
                 Lens 7 
                 −19.354 
                 ASP 
                 0.374 
                 Plastic 
                 1.544 
                 55.9 
                 −4.09 
               
               
                 16 
                   
                 2.531 
                 ASP 
                 0.200 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.320 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.120 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                  4.0929E−02 
                 −5.4796E+01 
                 −5.4204E−01 
                 −6.8771E−01 
                 −1.3589E+01 
                 −1.0000E+00 
                 −1.0000E+00 
               
               
                 A4 = 
                 −9.3955E−04 
                  5.5360E−02 
                 −8.4173E−02 
                 −1.3661E−01 
                  7.5828E−02 
                 −2.4508E−02 
                 −1.1973E−01 
               
               
                 A6 = 
                 −9.2901E−03 
                 −8.1068E−02 
                  4.9640E−02 
                  1.1556E−01 
                 −8.0399E−02 
                  3.4127E−04 
                  3.5707E−02 
               
               
                 A8 = 
                  1.5815E−03 
                  4.8725E−02 
                 −4.7879E−02 
                 −8.6585E−02 
                  9.3155E−02 
                 −2.8048E−03 
                 −9.8634E−02 
               
               
                 A10 = 
                 −1.7775E−03 
                 −1.6274E−02 
                  4.0657E−02 
                  4.4811E−02 
                 −7.9941E−02 
                  5.9263E−04 
                  1.3436E−01 
               
               
                 A12 = 
                  3.0256E−05 
                  1.9837E−03 
                 −1.6662E−02 
                 −1.0770E−02 
                  3.9663E−02 
                 −1.8758E−04 
                 −8.3328E−02 
               
               
                 A14 = 
                   
                   
                  2.5021E−03 
                  9.9730E−04 
                 −7.4806E−03 
                  1.0607E−04 
                  2.3937E−02 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −2.3326E−03 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                 −9.0000E+01 
                 −8.9322E+01 
                 −6.3825E+00 
                 −5.5051E+01 
                 −1.5387E+01 
                 −1.7122E+01 
                 −1.1891E+01 
               
               
                 A4 = 
                 −9.8340E−02 
                 −2.8710E−02 
                 −2.0814E−01 
                 −8.6352E−02 
                 −6.2695E−02 
                 −2.0165E−01 
                 −1.3442E−01 
               
               
                 A6 = 
                  3.7512E−02 
                  1.6525E−01 
                  8.0193E−01 
                  2.6129E−01 
                  5.9448E−02 
                  1.0916E−01 
                  9.9348E−02 
               
               
                 A8 = 
                 −1.2500E−01 
                 −3.9014E−01 
                 −1.6612E+00 
                 −7.0352E−01 
                 −1.2014E−01 
                 −1.3026E−02 
                 −5.9722E−02 
               
               
                 A10 = 
                  1.4065E−01 
                  4.3859E−01 
                  2.1291E+00 
                  9.6985E−01 
                  1.1594E−01 
                 −5.4953E−02 
                  2.2989E−02 
               
               
                 A12 = 
                 −6.8158E−02 
                 −3.3881E−01 
                 −1.7975E+00 
                 −8.5174E−01 
                 −6.5205E−02 
                  4.9991E−02 
                 −5.7145E−03 
               
               
                 A14 = 
                  1.0638E−02 
                  1.7529E−01 
                  9.8922E−01 
                  4.9612E−01 
                  2.2838E−02 
                 −1.9801E−02 
                  9.3299E−04 
               
               
                 A16 = 
                  2.1380E−03 
                 −5.3746E−02 
                 −3.4094E−01 
                 −1.8744E−01 
                 −4.8977E−03 
                  4.1225E−03 
                 −9.8265E−05 
               
               
                 A18 = 
                 −6.3511E−04 
                  6.2394E−03 
                  6.6654E−02 
                  4.1586E−02 
                  5.8578E−04 
                 −4.4121E−04 
                  6.0824E−06 
               
               
                 A20 = 
                   
                  4.0121E−04 
                 −5.6102E−03 
                 −4.1072E−03 
                 −2.9785E−05 
                  1.9195E−05 
                 −1.6795E−07 
               
               
                   
               
            
           
         
       
     
     In the 3rd embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 3rd embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 5 and TABLE 6 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 3rd Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.30 
                 |f/fi|min 
                 0.035 
               
               
                   
                 Fno 
                 1.45 
                 |f/fi|max 
                 1.05 
               
               
                   
                 HFOV [deg.] 
                 37.8 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.56 
               
               
                   
                 V2 
                 20.4 
                 f/EPD 
                 1.45 
               
               
                   
                 V4 
                 20.4 
                 TL/f 
                 1.23 
               
               
                   
                 V6 
                 20.4 
                 SD/TD 
                 0.91 
               
               
                   
                 Vmin 
                 20.4 
                 TL/ImgH 
                 1.55 
               
               
                   
                 V4 + V5 + V6 
                 78.2 
                 BL/TD 
                 0.16 
               
               
                   
                 T56/T67 
                 0.07 
                 ImgH/f 
                 0.80 
               
               
                   
                 CT7/CT1 
                 0.62 
                 |f/R1| + |f/R2| 
                 2.78 
               
               
                   
                 R5/CT3 
                 4.00 
                 |f/R3| + |f/R4| 
                 4.25 
               
               
                   
                 f/R9 
                 −0.82 
                 |f/R5| + |f/R6| 
                 2.02 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.20 
                 |f/R7| + |f/R8| 
                 0.15 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.30 
                 |f/R9| + |f/R10| 
                 2.34 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 1.75 
                 |f/R11| + |f/R12| 
                 2.99 
               
               
                   
                 f/f3 
                 0.86 
                 |f/R13| + |f/R14| 
                 1.92 
               
               
                   
                 |f1/f2| 
                 0.76 
               
               
                   
                   
               
            
           
         
       
     
     In the 3rd embodiment, Abbe numbers of three lens elements ( 320 ,  340  and  360 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by one lens element ( 340 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     4th Embodiment 
       FIG. 7  is a schematic view of an imaging apparatus according to the 4th embodiment of the present disclosure.  FIG. 8  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 4th embodiment. In  FIG. 7 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  495 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  400 , a first lens element  410 , a second lens element  420 , a third lens element  430 , a stop  401 , a fourth lens element  440 , a fifth lens element  450 , a sixth lens element  460 , a seventh lens element  470 , a filter  480  and an image surface  490 . The image sensor  495  is disposed on the image surface  490  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 410 ,  420 ,  430 ,  440 ,  450 ,  460  and  470 ) without additional one or more lens elements inserted between the first lens element  410  and the seventh lens element  470 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. Furthermore, the seven lens elements drawn with the thinner lines in  FIG. 7  are for showing the air gaps thereof with higher clarity. 
     The first lens element  410  with positive refractive power has an object-side surface  411  being convex in a paraxial region thereof and an image-side surface  412  being concave in a paraxial region thereof. The first lens element  410  is made of a plastic material, and has the object-side surface  411  and the image-side surface  412  being both aspheric. 
     The second lens element  420  with negative refractive power has an object-side surface  421  being convex in a paraxial region thereof and an image-side surface  422  being concave in a paraxial region thereof. The second lens element  420  is made of a plastic material, and has the object-side surface  421  and the image-side surface  422  being both aspheric. 
     The third lens element  430  with positive refractive power has an object-side surface  431  being convex in a paraxial region thereof and an image-side surface  432  being concave in a paraxial region thereof. The third lens element  430  is made of a plastic material, and has the object-side surface  431  and the image-side surface  432  being both aspheric. 
     The fourth lens element  440  with negative refractive power has an object-side surface  441  being concave in a paraxial region thereof and an image-side surface  442  being convex in a paraxial region thereof. The fourth lens element  440  is made of a plastic material, and has the object-side surface  441  and the image-side surface  442  being both aspheric. 
     The fifth lens element  450  with positive refractive power has an object-side surface  451  being concave in a paraxial region thereof and an image-side surface  452  being convex in a paraxial region thereof. The fifth lens element  450  is made of a plastic material, and has the object-side surface  451  and the image-side surface  452  being both aspheric. 
     The sixth lens element  460  with negative refractive power has an object-side surface  461  being convex in a paraxial region thereof and an image-side surface  462  being concave in a paraxial region thereof. The sixth lens element  460  is made of a plastic material, and has the object-side surface  461  and the image-side surface  462  being both aspheric. Furthermore, the image-side surface  462  of the sixth lens element  460  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  470  with positive refractive power has an object-side surface  471  being convex in a paraxial region thereof and an image-side surface  472  being concave in a paraxial region thereof. The seventh lens element  470  is made of a plastic material, and has the object-side surface  471  and the image-side surface  472  being both aspheric. Furthermore, the image-side surface  472  of the seventh lens element  470  includes at least one inflection point in an off-axis region thereof. 
     The filter  480  is made of a glass material and located between the seventh lens element  470  and the image surface  490 , and will not affect the focal length of the photographing optical lens assembly. 
     Five lens elements ( 410 ,  420 ,  430 ,  460  and  470 ) of the photographing optical lens assembly in the 4th embodiment have the object-side surfaces ( 411 ,  421 ,  431 ,  461  and  471 ) being convex in the paraxial regions thereof and the image-side surfaces ( 412 ,  422 ,  432 ,  462  and  472 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 4th embodiment are shown in TABLE 7 and the aspheric surface data are shown in TABLE 8 below. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 4th Embodiment 
               
               
                 f = 4.15 mm, Fno = 1.47, HFOV = 38.6 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.400  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 2.200 
                 ASP 
                 0.561 
                 Plastic 
                 1.545 
                 56.0 
                 6.66 
               
               
                 3 
                   
                 5.094 
                 ASP 
                 0.030 
               
               
                 4 
                 Lens 2 
                 2.286 
                 ASP 
                 0.230 
                 Plastic 
                 1.660 
                 20.4 
                 −8.80 
               
               
                 5 
                   
                 1.575 
                 ASP 
                 0.091 
               
               
                 6 
                 Lens 3 
                 2.141 
                 ASP 
                 0.595 
                 Plastic 
                 1.544 
                 55.9 
                 4.86 
               
               
                 7 
                   
                 10.187 
                 ASP 
                 0.070 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.288 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −14.065 
                 ASP 
                 0.280 
                 Plastic 
                 1.660 
                 20.4 
                 −117.07 
               
               
                 10 
                   
                 −17.332 
                 ASP 
                 0.224 
               
               
                 11 
                 Lens 5 
                 −24.046 
                 ASP 
                 0.364 
                 Plastic 
                 1.566 
                 37.4 
                 59.03 
               
               
                 12 
                   
                 −14.060 
                 ASP 
                 0.219 
               
               
                 13 
                 Lens 6 
                 2.972 
                 ASP 
                 0.539 
                 Plastic 
                 1.660 
                 20.4 
                 −7.16 
               
               
                 14 
                   
                 1.693 
                 ASP 
                 0.159 
               
               
                 15 
                 Lens 7 
                 1.999 
                 ASP 
                 0.972 
                 Plastic 
                 1.544 
                 55.9 
                 30.41 
               
               
                 16 
                   
                 1.884 
                 ASP 
                 0.280 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.239 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.210 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                  7.4368E−02 
                 −5.9199E+01 
                 −6.6313E−01 
                 −7.6070E−01 
                 −1.1064E+01 
                  1.0000E+01 
                 −9.0000E+01 
               
               
                 A4 = 
                 −2.8604E−04 
                  5.4321E−02 
                 −8.5996E−02 
                 −1.3821E−01 
                  8.3038E−02 
                 −1.7705E−02 
                 −9.2137E−02 
               
               
                 A6 = 
                 −8.2516E−03 
                 −8.0310E−02 
                  4.7893E−02 
                  1.1244E−01 
                 −7.9534E−02 
                 −1.1050E−03 
                 −3.8364E−02 
               
               
                 A8 = 
                  1.2596E−03 
                  4.9774E−02 
                 −4.8709E−02 
                 −8.8171E−02 
                  9.2011E−02 
                 −2.8181E−03 
                  3.0670E−02 
               
               
                 A10 = 
                 −1.5862E−03 
                 −1.6363E−02 
                  4.1434E−02 
                  4.5016E−02 
                 −7.9459E−02 
                  1.3790E−04 
                 −9.0237E−04 
               
               
                 A12 = 
                  3.0256E−05 
                  1.9837E−03 
                 −1.6662E−02 
                 −1.0770E−02 
                  3.9663E−02 
                 −1.8758E−04 
                 −6.6236E−03 
               
               
                 A14 = 
                   
                   
                  2.5021E−03 
                  9.9730E−04 
                 −7.4806E−03 
                  1.0607E−04 
                  2.8086E−03 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −1.8893E−04 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                 −8.9403E+01 
                  1.0000E+01 
                  1.0000E+01 
                 −9.0000E+01 
                 −3.3315E+01 
                 −2.8720E+01 
                 −8.2090E+00 
               
               
                 A4 = 
                 −7.7388E−02 
                 −4.9257E−02 
                 −2.6038E−01 
                 −1.3415E−01 
                 −1.3566E−01 
                 −2.9869E−01 
                 −7.5486E−02 
               
               
                 A6 = 
                 −1.8092E−02 
                  2.8183E−01 
                  7.6836E−01 
                  3.2118E−01 
                  2.5254E−01 
                  3.5138E−01 
                  4.8821E−02 
               
               
                 A8 = 
                 −8.4475E−02 
                 −9.8497E−01 
                 −1.5951E+00 
                 −7.0492E−01 
                 −2.9058E−01 
                 −2.7242E−01 
                 −2.5030E−02 
               
               
                 A10 = 
                  2.3088E−01 
                  1.8089E+00 
                  2.0779E+00 
                  9.1832E−01 
                  1.9464E−01 
                  1.3321E−01 
                  8.7300E−03 
               
               
                 A12 = 
                 −2.4670E−01 
                 −2.0649E+00 
                 −1.7189E+00 
                 −8.0675E−01 
                 −8.2238E−02 
                 −4.0882E−02 
                 −2.0224E−03 
               
               
                 A14 = 
                  1.4109E−01 
                  1.4997E+00 
                  8.9167E−01 
                  4.7892E−01 
                  2.2298E−02 
                  7.8953E−03 
                  3.0345E−04 
               
               
                 A16 = 
                 −4.2745E−02 
                 −6.7644E−01 
                 −2.7621E−01 
                 −1.8235E−01 
                 −3.7657E−03 
                 −9.3526E−04 
                 −2.8169E−05 
               
               
                 A18 = 
                  5.4305E−03 
                  1.7169E−01 
                  4.4412E−02 
                  3.9342E−02 
                  3.6046E−04 
                  6.2295E−05 
                  1.4635E−06 
               
               
                 A20 = 
                   
                 −1.8884E−02 
                 −2.4697E−03 
                 −3.6121E−03 
                 −1.4925E−05 
                 −1.7925E−06 
                 −3.2448E−08 
               
               
                   
               
            
           
         
       
     
     In the 4th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 4th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 7 and TABLE 8 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 4th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.15 
                 |f/fi|min 
                 0.035 
               
               
                   
                 Fno 
                 1.47 
                 |f/fi|max 
                 0.85 
               
               
                   
                 HFOV [deg.] 
                 38.6 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.69 
               
               
                   
                 V2 
                 20.4 
                 f/EPD 
                 1.47 
               
               
                   
                 V4 
                 20.4 
                 TL/f 
                 1.29 
               
               
                   
                 V6 
                 20.4 
                 SD/TD 
                 0.91 
               
               
                   
                 Vmin 
                 20.4 
                 TL/ImgH 
                 1.56 
               
               
                   
                 V4 + V5 + V6 
                 78.2 
                 BL/TD 
                 0.16 
               
               
                   
                 T56/T67 
                 1.37 
                 ImgH/f 
                 0.83 
               
               
                   
                 CT7/CT1 
                 1.73 
                 |f/R1| + |f/R2| 
                 2.70 
               
               
                   
                 R5/CT3 
                 3.60 
                 |f/R3| + |f/R4| 
                 4.45 
               
               
                   
                 f/R9 
                 −0.17 
                 |f/R5| + |f/R6| 
                 2.35 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.18 
                 |f/R7| + |f/R8| 
                 0.53 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.53 
                 |f/R9| + |f/R10| 
                 0.47 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 −0.10 
                 |f/R11| + |f/R12| 
                 3.85 
               
               
                   
                 f/f3 
                 0.85 
                 |f/R13| + |f/R14| 
                 4.28 
               
               
                   
                 |f1/f2| 
                 0.76 
               
               
                   
                   
               
            
           
         
       
     
     In the 4th embodiment, Abbe numbers of three lens elements ( 420 ,  440  and  460 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by two lens elements ( 440  and  450 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     5th Embodiment 
       FIG. 9  is a schematic view of an imaging apparatus according to the 5th embodiment of the present disclosure.  FIG. 10  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 5th embodiment. In  FIG. 9 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  595 . The photographing optical lens assembly includes, in order from an object side to an image side, a first lens element  510 , an aperture stop  500 , a second lens element  520 , a third lens element  530 , a stop  501 , a fourth lens element  540 , a fifth lens element  550 , a sixth lens element  560 , a seventh lens element  570 , a filter  580  and an image surface  590 . The image sensor  595  is disposed on the image surface  590  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 510 ,  520 ,  530 ,  540 ,  550 ,  560  and  570 ) without additional one or more lens elements inserted between the first lens element  510  and the seventh lens element  570 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  510  with positive refractive power has an object-side surface  511  being convex in a paraxial region thereof and an image-side surface  512  being concave in a paraxial region thereof. The first lens element  510  is made of a plastic material, and has the object-side surface  511  and the image-side surface  512  being both aspheric. 
     The second lens element  520  with negative refractive power has an object-side surface  521  being convex in a paraxial region thereof and an image-side surface  522  being concave in a paraxial region thereof. The second lens element  520  is made of a plastic material, and has the object-side surface  521  and the image-side surface  522  being both aspheric. 
     The third lens element  530  with positive refractive power has an object-side surface  531  being convex in a paraxial region thereof and an image-side surface  532  being concave in a paraxial region thereof. The third lens element  530  is made of a plastic material, and has the object-side surface  531  and the image-side surface  532  being both aspheric. 
     The fourth lens element  540  with negative refractive power has an object-side surface  541  being concave in a paraxial region thereof and an image-side surface  542  being concave in a paraxial region thereof. The fourth lens element  540  is made of a plastic material, and has the object-side surface  541  and the image-side surface  542  being both aspheric. 
     The fifth lens element  550  with positive refractive power has an object-side surface  551  being concave in a paraxial region thereof and an image-side surface  552  being convex in a paraxial region thereof. The fifth lens element  550  is made of a plastic material, and has the object-side surface  551  and the image-side surface  552  being both aspheric. 
     The sixth lens element  560  with negative refractive power has an object-side surface  561  being convex in a paraxial region thereof and an image-side surface  562  being concave in a paraxial region thereof. The sixth lens element  560  is made of a plastic material, and has the object-side surface  561  and the image-side surface  562  being both aspheric. Furthermore, the image-side surface  562  of the sixth lens element  560  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  570  with negative refractive power has an object-side surface  571  being convex in a paraxial region thereof and an image-side surface  572  being concave in a paraxial region thereof. The seventh lens element  570  is made of a plastic material, and has the object-side surface  571  and the image-side surface  572  being both aspheric. Furthermore, the image-side surface  572  of the seventh lens element  570  includes at least one inflection point in an off-axis region thereof. 
     The filter  580  is made of a glass material and located between the seventh lens element  570  and the image surface  590 , and will not affect the focal length of the photographing optical lens assembly. 
     Five lens elements ( 510 ,  520 ,  530 ,  560  and  570 ) of the photographing optical lens assembly in the 5th embodiment have the object-side surfaces ( 511 ,  521 ,  531 ,  561  and  571 ) being convex in the paraxial regions thereof and the image-side surfaces ( 512 ,  522 ,  532 ,  562  and  572 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 5th embodiment are shown in TABLE 9 and the aspheric surface data are shown in TABLE 10 below. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 5th Embodiment 
               
               
                 f = 4.40 mm, Fno = 1.47, HFOV = 37.1 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 2.340 
                 ASP 
                 0.642 
                 Plastic 
                 1.545 
                 56.0 
                 7.03 
               
               
                 2 
                   
                 5.436 
                 ASP 
                 0.094 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 3 
                 Ape. Stop 
                 Plano 
                 −0.059  
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 4 
                 Lens 2 
                 2.259 
                 ASP 
                 0.230 
                 Plastic 
                 1.660 
                 20.4 
                 −9.35 
               
               
                 5 
                   
                 1.586 
                 ASP 
                 0.113 
               
               
                 6 
                 Lens 3 
                 2.335 
                 ASP 
                 0.558 
                 Plastic 
                 1.544 
                 55.9 
                 4.74 
               
               
                 7 
                   
                 22.633 
                 ASP 
                 0.180 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.326 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 −38.051 
                 ASP 
                 0.224 
                 Plastic 
                 1.669 
                 19.5 
                 −36.44 
               
               
                 10 
                   
                 67.943 
                 ASP 
                 0.285 
               
               
                 11 
                 Lens 5 
                 −25.033 
                 ASP 
                 0.489 
                 Plastic 
                 1.634 
                 23.8 
                 15.59 
               
               
                 12 
                   
                 −7.141 
                 ASP 
                 0.050 
               
               
                 13 
                 Lens 6 
                 3.281 
                 ASP 
                 0.470 
                 Plastic 
                 1.669 
                 19.5 
                 −22.31 
               
               
                 14 
                   
                 2.535 
                 ASP 
                 0.447 
               
               
                 15 
                 Lens 7 
                 7.510 
                 ASP 
                 0.773 
                 Plastic 
                 1.544 
                 55.9 
                 −6.41 
               
               
                 16 
                   
                 2.294 
                 ASP 
                 0.250 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.221 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.200 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                  1.4330E−01 
                 −7.1810E+01 
                 −7.7643E−01 
                 −7.0736E−01 
                 −1.2721E+01 
                  1.0000E+01 
                 −9.0000E+01 
               
               
                 A4 = 
                 −3.1919E−03 
                  4.9861E−02 
                 −8.7658E−02 
                 −1.3512E−01 
                  7.9993E−02 
                 −1.4458E−02 
                 −1.2665E−01 
               
               
                 A6 = 
                 −9.4287E−03 
                 −8.0969E−02 
                  4.7941E−02 
                  1.0976E−01 
                 −7.7148E−02 
                  2.9694E−03 
                  6.8633E−02 
               
               
                 A8 = 
                  9.6457E−04 
                  5.0211E−02 
                 −4.9288E−02 
                 −8.8313E−02 
                  9.3246E−02 
                 −1.9140E−03 
                 −1.0240E−01 
               
               
                 A10 = 
                 −1.0837E−03 
                 −1.6090E−02 
                  4.1487E−02 
                  4.5214E−02 
                 −8.1582E−02 
                 −1.7458E−04 
                  1.1243E−01 
               
               
                 A12 = 
                  1.2546E−04 
                  1.9837E−03 
                 −1.6662E−02 
                 −1.0770E−02 
                  3.9663E−02 
                 −1.8758E−04 
                 −6.1232E−02 
               
               
                 A14 = 
                   
                   
                  2.5021E−03 
                  9.9730E−04 
                 −7.4806E−03 
                  1.0607E−04 
                  1.5513E−02 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −1.1110E−03 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                 −9.0000E+01 
                 1.0000E+01 
                  7.1890E−01 
                 −9.0000E+01 
                 −3.0853E+01 
                 −6.2280E+01 
                 −9.8744E+00 
               
               
                 A4 = 
                 −1.3251E−01 
                 6.0613E−04 
                 −5.1008E−01 
                 −4.8481E−01 
                 −9.6694E−02 
                 −1.7155E−01 
                 −6.5163E−02 
               
               
                 A6 = 
                  4.7961E−02 
                 −7.5299E−02  
                  1.6079E+00 
                  1.2911E+00 
                  1.4274E−01 
                  1.1774E−01 
                  3.1288E−02 
               
               
                 A8 = 
                 −6.1524E−02 
                 2.0993E−01 
                 −2.8541E+00 
                 −2.1829E+00 
                 −1.6329E−01 
                 −5.0826E−02 
                 −1.1265E−02 
               
               
                 A10 = 
                  4.9074E−02 
                 −4.2937E−01  
                  3.1843E+00 
                  2.3207E+00 
                  1.0990E−01 
                  5.9229E−03 
                  2.4593E−03 
               
               
                 A12 = 
                 −3.6184E−03 
                 4.3277E−01 
                 −2.3503E+00 
                 −1.6443E+00 
                 −4.6964E−02 
                  4.3401E−03 
                 −3.3309E−04 
               
               
                 A14 = 
                 −1.3267E−02 
                 −2.1312E−01  
                  1.1353E+00 
                  7.7599E−01 
                  1.3048E−02 
                 −2.0747E−03 
                  2.7299E−05 
               
               
                 A16 = 
                  5.9682E−03 
                 2.5464E−02 
                 −3.4138E−01 
                 −2.3414E−01 
                 −2.2827E−03 
                  3.9180E−04 
                 −1.2024E−06 
               
               
                 A18 = 
                 −7.0146E−04 
                 1.8143E−02 
                  5.6875E−02 
                  4.0744E−02 
                  2.2745E−04 
                 −3.5281E−05 
                  1.4234E−08 
               
               
                 A20 = 
                   
                 −5.9355E−03  
                 −3.8892E−03 
                 −3.0997E−03 
                 −9.7973E−06 
                  1.2469E−06 
                  6.2469E−10 
               
               
                   
               
            
           
         
       
     
     In the 5th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 5th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 9 and TABLE 10 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 5th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.40 
                 |f/fi|min 
                 0.121 
               
               
                   
                 Fno 
                 1.47 
                 |f/fi|max 
                 0.93 
               
               
                   
                 HFOV [deg.] 
                 37.1 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.60 
               
               
                   
                 V2 
                 20.4 
                 f/EPD 
                 1.47 
               
               
                   
                 V4 
                 19.5 
                 TL/f 
                 1.25 
               
               
                   
                 V6 
                 19.5 
                 SD/TD 
                 0.85 
               
               
                   
                 Vmin 
                 19.5 
                 TL/ImgH 
                 1.60 
               
               
                   
                 V4 + V5 + V6 
                 62.8 
                 BL/TD 
                 0.14 
               
               
                   
                 T56/T67 
                 0.11 
                 ImgH/f 
                 0.78 
               
               
                   
                 CT7/CT1 
                 1.20 
                 |f/R1| + |f/R2| 
                 2.69 
               
               
                   
                 R5/CT3 
                 4.18 
                 |f/R3| + |f/R4| 
                 4.72 
               
               
                   
                 f/R9 
                 −0.18 
                 |f/R5| + |f/R6| 
                 2.08 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.17 
                 |f/R7| + |f/R8| 
                 0.18 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.23 
                 |f/R9| + |f/R10| 
                 0.79 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 −3.55 
                 |f/R11| + |f/R12| 
                 3.07 
               
               
                   
                 f/f3 
                 0.93 
                 |f/R13| + |f/R14| 
                 2.50 
               
               
                   
                 |f1/f2| 
                 0.75 
               
               
                   
                   
               
            
           
         
       
     
     In the 5th embodiment, Abbe numbers of three lens elements ( 520 ,  540  and  560 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by two lens elements ( 540  and  550 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     6th Embodiment 
       FIG. 11  is a schematic view of an imaging apparatus according to the 6th embodiment of the present disclosure.  FIG. 12  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 6th embodiment. In  FIG. 11 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  695 . The photographing optical lens assembly includes, in order from an object side to an image side, a first lens element  610 , an aperture stop  600 , a second lens element  620 , a third lens element  630 , a fourth lens element  640 , a fifth lens element  650 , a sixth lens element  660 , a seventh lens element  670 , a filter  680  and an image surface  690 . The image sensor  695  is disposed on the image surface  690  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 610 ,  620 ,  630 ,  640 ,  650 ,  660  and  670 ) without additional one or more lens elements inserted between the first lens element  610  and the seventh lens element  670 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  610  with positive refractive power has an object-side surface  611  being convex in a paraxial region thereof and an image-side surface  612  being concave in a paraxial region thereof. The first lens element  610  is made of a plastic material, and has the object-side surface  611  and the image-side surface  612  being both aspheric. 
     The second lens element  620  with positive refractive power has an object-side surface  621  being convex in a paraxial region thereof and an image-side surface  622  being concave in a paraxial region thereof. The second lens element  620  is made of a plastic material, and has the object-side surface  621  and the image-side surface  622  being both aspheric. 
     The third lens element  630  with negative refractive power has an object-side surface  631  being concave in a paraxial region thereof and an image-side surface  632  being concave in a paraxial region thereof. The third lens element  630  is made of a plastic material, and has the object-side surface  631  and the image-side surface  632  being both aspheric. 
     The fourth lens element  640  with positive refractive power has an object-side surface  641  being convex in a paraxial region thereof and an image-side surface  642  being concave in a paraxial region thereof. The fourth lens element  640  is made of a plastic material, and has the object-side surface  641  and the image-side surface  642  being both aspheric. 
     The fifth lens element  650  with negative refractive power has an object-side surface  651  being concave in a paraxial region thereof and an image-side surface  652  being convex in a paraxial region thereof. The fifth lens element  650  is made of a plastic material, and has the object-side surface  651  and the image-side surface  652  being both aspheric. 
     The sixth lens element  660  with negative refractive power has an object-side surface  661  being convex in a paraxial region thereof and an image-side surface  662  being concave in a paraxial region thereof. The sixth lens element  660  is made of a plastic material, and has the object-side surface  661  and the image-side surface  662  being both aspheric. Furthermore, the image-side surface  662  of the sixth lens element  660  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  670  with negative refractive power has an object-side surface  671  being convex in a paraxial region thereof and an image-side surface  672  being concave in a paraxial region thereof. The seventh lens element  670  is made of a plastic material, and has the object-side surface  671  and the image-side surface  672  being both aspheric. Furthermore, the image-side surface  672  of the seventh lens element  670  includes at least one inflection point in an off-axis region thereof. 
     The filter  680  is made of a glass material and located between the seventh lens element  670  and the image surface  690 , and will not affect the focal length of the photographing optical lens assembly. 
     Five lens elements ( 610 ,  620 ,  640 ,  660  and  670 ) of the photographing optical lens assembly in the 6th embodiment have the object-side surfaces ( 611 ,  621 ,  641 ,  661  and  671 ) being convex in the paraxial regions thereof and the image-side surfaces ( 612 ,  622 ,  642 ,  662  and  672 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 6th embodiment are shown in TABLE 11 and the aspheric surface data are shown in TABLE 12 below. 
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 6th Embodiment 
               
               
                 f = 4.01 mm, Fno = 1.97, HFOV = 36.8 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 6.337 
                 ASP 
                 0.303 
                 Plastic 
                 1.544 
                 55.9 
                 14.88 
               
               
                 2 
                   
                 28.642 
                 ASP 
                 0.590 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 3 
                 Ape. Stop 
                 Plano 
                 −0.332  
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 4 
                 Lens 2 
                 1.657 
                 ASP 
                 0.581 
                 Plastic 
                 1.544 
                 55.9 
                 3.24 
               
               
                 5 
                   
                 24.302 
                 ASP 
                 0.050 
               
               
                 6 
                 Lens 3 
                 −5.907 
                 ASP 
                 0.230 
                 Plastic 
                 1.584 
                 28.2 
                 −6.21 
               
               
                 7 
                   
                 9.534 
                 ASP 
                 0.346 
               
               
                 8 
                 Lens 4 
                 4.368 
                 ASP 
                 0.243 
                 Plastic 
                 1.608 
                 25.7 
                 21.41 
               
               
                 9 
                   
                 6.435 
                 ASP 
                 0.197 
               
               
                 10 
                 Lens 5 
                 −4.031 
                 ASP 
                 0.306 
                 Plastic 
                 1.650 
                 21.5 
                 −16.09 
               
               
                 11 
                   
                 −6.753 
                 ASP 
                 0.116 
               
               
                 12 
                 Lens 6 
                 6.816 
                 ASP 
                 0.852 
                 Plastic 
                 1.642 
                 22.5 
                 −32.26 
               
               
                 13 
                   
                 4.877 
                 ASP 
                 0.181 
               
               
                 14 
                 Lens 7 
                 2.949 
                 ASP 
                 0.861 
                 Plastic 
                 1.534 
                 55.9 
                 −14.88 
               
               
                 15 
                   
                 1.932 
                 ASP 
                 0.250 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 16 
                 Filter 
                 Plano 
                 0.175 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 17 
                   
                 Plano 
                 0.345 
               
               
                 18 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k = 
                 −5.4940E+01 
                 −3.2758E+01 
                 5.5659E−01 
                 −7.0000E+01 
                 −5.9727E+01 
                 5.1605E+01 
                  4.2936E+00 
               
               
                 A4 = 
                 −7.5217E−03 
                 −9.9581E−03 
                 9.3162E−03 
                 −5.8770E−02 
                 −4.6704E−02 
                 4.2699E−02 
                 −3.4858E−01 
               
               
                 A6 = 
                 −2.8707E−03 
                 −3.6579E−04 
                 8.5603E−02 
                 −1.2460E−01 
                 −2.6197E−02 
                 6.0331E−02 
                  1.2976E+00 
               
               
                 A8 = 
                 −7.7930E−04 
                 −3.3038E−03 
                 −2.6464E−01  
                  6.7409E−01 
                  7.3651E−01 
                 1.8842E−01 
                 −5.1058E+00 
               
               
                 A10 = 
                   
                  5.8169E−04 
                 3.4862E−01 
                 −1.1113E+00 
                 −1.5029E+00 
                 −4.6052E−01  
                  1.1068E+01 
               
               
                 A12 = 
                   
                   
                 −1.9396E−01  
                  8.0466E−01 
                  1.2890E+00 
                 3.5787E−01 
                 −1.3947E+01 
               
               
                 A14 = 
                   
                   
                   
                 −2.3116E−01 
                 −3.8164E−01 
                 1.1303E−03 
                  9.4470E+00 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −2.6207E+00 
               
               
                   
               
               
                 Surface # 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k = 
                 −1.0000E+01 
                 −1.0000E+00 
                 −1.6911E+00 
                 1.0000E+00 
                  7.0449E−01 
                 −5.3580E+00 
                 −5.2323E+00 
               
               
                 A4 = 
                 −3.0729E−01 
                 −9.9871E−02 
                 −2.8668E−02 
                 −1.6084E−02  
                 −2.8126E−02 
                 −1.7009E−01 
                 −9.2831E−02 
               
               
                 A6 = 
                  1.1419E+00 
                  8.1653E−01 
                  3.0391E−01 
                 −5.3311E−02  
                  2.0167E−03 
                  1.0790E−01 
                  4.5942E−02 
               
               
                 A8 = 
                 −3.2495E+00 
                 −1.5865E+00 
                 −4.8647E−01 
                 2.3652E−02 
                 −5.7571E−03 
                 −4.8104E−02 
                 −1.7891E−02 
               
               
                 A10 = 
                  4.9982E+00 
                  1.4064E+00 
                  3.9585E−01 
                 2.6572E−03 
                  3.4662E−03 
                  1.2864E−02 
                  4.5461E−03 
               
               
                 A12 = 
                 −4.5651E+00 
                 −6.2465E−01 
                 −1.8174E−01 
                 −2.9773E−03  
                 −9.3400E−04 
                 −1.9140E−03 
                 −7.5893E−04 
               
               
                 A14 = 
                  2.3232E+00 
                  1.1052E−01 
                  4.4602E−02 
                 4.1244E−04 
                  1.2118E−04 
                  1.4857E−04 
                  7.3181E−05 
               
               
                 A16 = 
                 −4.8182E−01 
                   
                 −4.6011E−03 
                   
                 −6.0008E−06 
                 −4.7614E−06 
                 −2.9375E−06 
               
               
                   
               
            
           
         
       
     
     In the 6th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 6th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 11 and TABLE 12 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 6th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 f [mm] 
                 4.01 
                 |f/fi|min 
                 0.124 
               
               
                 Fno 
                 1.97 
                 |f/fi|max 
                 1.24 
               
               
                 HFOV [deg.] 
                 36.8 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.56 
               
               
                 V2 
                 55.9 
                 f/EPD 
                 1.97 
               
               
                 V4 
                 25.7 
                 TL/f 
                 1.32 
               
               
                 V6 
                 22.5 
                 SD/TD 
                 0.80 
               
               
                 Vmin 
                 21.5 
                 TL/ImgH 
                 1.70 
               
               
                 V4 + V5 + V6 
                 69.7 
                 BL/TD 
                 0.17 
               
               
                 T56/T67 
                 0.64 
                 ImgH/f 
                 0.77 
               
               
                 CT7/CT1 
                 2.84 
                 |f/R1| + |f/R2| 
                 0.77 
               
               
                 R5/CT3 
                 −25.68 
                 |f/R3| + |f/R4| 
                 2.59 
               
               
                 f/R9 
                 −1.00 
                 |f/R5| + |f/R6| 
                 1.10 
               
               
                 (R3 − R4)/(R3 + R4) 
                 −0.87 
                 |f/R7| + |f/R8| 
                 1.54 
               
               
                 (R5 + R6)/(R5 − R6) 
                 −0.23 
                 |f/R9| + |f/R10| 
                 1.59 
               
               
                 (R7 − R8)/(R7 + R8) 
                 −0.19 
                 |f/R11| + |f/R12| 
                 1.41 
               
               
                 f/f3 
                 −0.65 
                 |f/R13| + |f/R14| 
                 3.44 
               
               
                 |f1/f2| 
                 4.59 
               
               
                   
               
            
           
         
       
     
     In the 6th embodiment, the following condition is satisfied by one lens element ( 610 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     7th Embodiment 
       FIG. 13  is a schematic view of an imaging apparatus according to the 7th embodiment of the present disclosure.  FIG. 14  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 7th embodiment. In  FIG. 13 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  795 . The photographing optical lens assembly includes, in order from an object side to an image side, a first lens element  710 , an aperture stop  700 , a second lens element  720 , a third lens element  730 , a fourth lens element  740 , a fifth lens element  750 , a sixth lens element  760 , a seventh lens element  770 , a filter  780  and an image surface  790 . The image sensor  795  is disposed on the image surface  790  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 710 ,  720 ,  730 ,  740 ,  750 ,  760  and  770 ) without additional one or more lens elements inserted between the first lens element  710  and the seventh lens element  770 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. Furthermore, the seven lens elements drawn with the thinner lines in  FIG. 13  are for showing the air gaps thereof with higher clarity. 
     The first lens element  710  with negative refractive power has an object-side surface  711  being convex in a paraxial region thereof and an image-side surface  712  being concave in a paraxial region thereof. The first lens element  710  is made of a plastic material, and has the object-side surface  711  and the image-side surface  712  being both aspheric. 
     The second lens element  720  with positive refractive power has an object-side surface  721  being convex in a paraxial region thereof and an image-side surface  722  being convex in a paraxial region thereof. The second lens element  720  is made of a plastic material, and has the object-side surface  721  and the image-side surface  722  being both aspheric. 
     The third lens element  730  with negative refractive power has an object-side surface  731  being concave in a paraxial region thereof and an image-side surface  732  being convex in a paraxial region thereof. The third lens element  730  is made of a plastic material, and has the object-side surface  731  and the image-side surface  732  being both aspheric. 
     The fourth lens element  740  with negative refractive power has an object-side surface  741  being convex in a paraxial region thereof and an image-side surface  742  being concave in a paraxial region thereof. The fourth lens element  740  is made of a plastic material, and has the object-side surface  741  and the image-side surface  742  being both aspheric. 
     The fifth lens element  750  with negative refractive power has an object-side surface  751  being concave in a paraxial region thereof and an image-side surface  752  being convex in a paraxial region thereof. The fifth lens element  750  is made of a plastic material, and has the object-side surface  751  and the image-side surface  752  being both aspheric. 
     The sixth lens element  760  with negative refractive power has an object-side surface  761  being convex in a paraxial region thereof and an image-side surface  762  being concave in a paraxial region thereof. The sixth lens element  760  is made of a plastic material, and has the object-side surface  761  and the image-side surface  762  being both aspheric. Furthermore, the image-side surface  762  of the sixth lens element  760  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  770  with negative refractive power has an object-side surface  771  being convex in a paraxial region thereof and an image-side surface  772  being concave in a paraxial region thereof. The seventh lens element  770  is made of a plastic material, and has the object-side surface  771  and the image-side surface  772  being both aspheric. Furthermore, the image-side surface  772  of the seventh lens element  770  includes at least one inflection point in an off-axis region thereof. 
     The filter  780  is made of a glass material and located between the seventh lens element  770  and the image surface  790 , and will not affect the focal length of the photographing optical lens assembly. 
     The detailed optical data of the 7th embodiment are shown in TABLE 13 and the aspheric surface data are shown in TABLE 14 below. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 7th Embodiment 
               
               
                 f = 4.05 mm, Fno = 1.97, HFOV = 36.5 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 8.333 
                 ASP 
                 0.378 
                 Plastic 
                 1.544 
                 55.9 
                 −176.38 
               
               
                 2 
                   
                 7.545 
                 ASP 
                 0.403 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 3 
                 Ape. Stop 
                 Plano 
                 −0.378  
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 4 
                 Lens 2 
                 1.489 
                 ASP 
                 0.640 
                 Plastic 
                 1.544 
                 55.9 
                 2.60 
               
               
                 5 
                   
                 −23.767 
                 ASP 
                 0.052 
               
               
                 6 
                 Lens 3 
                 −3.830 
                 ASP 
                 0.230 
                 Plastic 
                 1.584 
                 28.2 
                 −6.91 
               
               
                 7 
                   
                 −76.798 
                 ASP 
                 0.313 
               
               
                 8 
                 Lens 4 
                 4.277 
                 ASP 
                 0.250 
                 Plastic 
                 1.608 
                 25.7 
                 −48.44 
               
               
                 9 
                   
                 3.652 
                 ASP 
                 0.234 
               
               
                 10 
                 Lens 5 
                 −7.815 
                 ASP 
                 0.481 
                 Plastic 
                 1.650 
                 21.5 
                 −41.68 
               
               
                 11 
                   
                 −11.246 
                 ASP 
                 0.075 
               
               
                 12 
                 Lens 6 
                 5.139 
                 ASP 
                 0.736 
                 Plastic 
                 1.642 
                 22.5 
                 −29.29 
               
               
                 13 
                   
                 3.809 
                 ASP 
                 0.230 
               
               
                 14 
                 Lens 7 
                 2.512 
                 ASP 
                 0.817 
                 Plastic 
                 1.534 
                 55.9 
                 −19.66 
               
               
                 15 
                   
                 1.797 
                 ASP 
                 0.300 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 16 
                 Filter 
                 Plano 
                 0.175 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 17 
                   
                 Plano 
                 0.358 
               
               
                 18 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k = 
                 −7.0000E+01 
                 −4.4544E+01 
                  6.4500E−01 
                  5.7354E+00 
                 −2.7087E+01 
                 9.0000E+01 
                  5.4068E+00 
               
               
                 A4 = 
                 −9.9030E−03 
                 −2.2043E−02 
                 −4.0905E−02 
                 −3.8325E−02 
                 −3.8588E−02 
                 4.8728E−02 
                 −3.7023E−01 
               
               
                 A6 = 
                 −9.2732E−03 
                 −4.2753E−03 
                  9.1844E−02 
                 −1.3585E−01 
                 −2.4049E−02 
                 6.7292E−02 
                  9.6060E−01 
               
               
                 A8 = 
                  9.7626E−04 
                 −2.9016E−03 
                 −2.8366E−01 
                  6.7287E−01 
                  7.3005E−01 
                 2.1089E−01 
                 −3.6112E+00 
               
               
                 A10 = 
                   
                  1.1552E−03 
                  3.4201E−01 
                 −1.0952E+00 
                 −1.5082E+00 
                 −4.9695E−01  
                  7.9347E+00 
               
               
                 A12 = 
                   
                   
                 −1.8338E−01 
                  8.0876E−01 
                  1.2969E+00 
                 3.5382E−01 
                 −9.9707E+00 
               
               
                 A14 = 
                   
                   
                   
                 −2.3056E−01 
                 −3.8182E−01 
                 1.1303E−03 
                  6.6441E+00 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −1.7901E+00 
               
               
                   
               
               
                 Surface # 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k = 
                 −5.1478E+00 
                 −4.0070E+00 
                 −2.4153E+01 
                 −2.8055E+00 
                  3.1255E−01 
                 −6.5610E+00 
                 −6.2471E+00 
               
               
                 A4 = 
                 −2.3773E−01 
                 −1.1236E−02 
                  1.5614E−02 
                  2.7098E−03 
                 −3.5275E−02 
                 −1.5692E−01 
                 −7.3201E−02 
               
               
                 A6 = 
                  4.9226E−01 
                  3.2113E−01 
                  6.8698E−02 
                 −7.7261E−02 
                  1.7289E−03 
                  8.5859E−02 
                  2.6263E−02 
               
               
                 A8 = 
                 −1.3285E+00 
                 −7.4999E−01 
                 −1.0570E−01 
                  5.0948E−02 
                 −3.6865E−03 
                 −2.7287E−02 
                 −7.6151E−03 
               
               
                 A10 = 
                  1.8841E+00 
                  7.2777E−01 
                  7.4380E−02 
                 −1.3704E−02 
                  2.0818E−03 
                  2.6549E−03 
                  1.4810E−03 
               
               
                 A12 = 
                 −1.3985E+00 
                 −3.7183E−01 
                 −3.0640E−02 
                  1.4716E−03 
                 −5.3623E−04 
                  5.5608E−04 
                 −2.5734E−04 
               
               
                 A14 = 
                  4.4265E−01 
                  7.1288E−02 
                  7.0876E−03 
                 −2.9076E−05 
                  6.4244E−05 
                 −1.3588E−04 
                  3.1890E−05 
               
               
                 A16 = 
                 −9.8210E−04 
                   
                 −7.1528E−04 
                   
                 −2.5334E−06 
                  7.7491E−06 
                 −1.6222E−06 
               
               
                   
               
            
           
         
       
     
     In the 7th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. 
     Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 7th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 13 and TABLE 14 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 7th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 f [mm] 
                 4.05 
                 |f/fi|min 
                 0.023 
               
               
                 Fno 
                 1.97 
                 |f/fi|max 
                 1.56 
               
               
                 HFOV [deg.] 
                 36.5 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.32 
               
               
                 V2 
                 55.9 
                 f/EPD 
                 1.97 
               
               
                 V4 
                 25.7 
                 TL/f 
                 1.31 
               
               
                 V6 
                 22.5 
                 SD/TD 
                 0.82 
               
               
                 Vmin 
                 21.5 
                 TL/ImgH 
                 1.70 
               
               
                 V4 + V5 + V6 
                 69.7 
                 BL/TD 
                 0.19 
               
               
                 T56/T67 
                 0.33 
                 ImgH/f 
                 0.77 
               
               
                 CT7/CT1 
                 2.16 
                 |f/R1| + |f/R2| 
                 1.02 
               
               
                 R5/CT3 
                 −16.65 
                 |f/R3| + |f/R4| 
                 2.89 
               
               
                 f/R9 
                 −0.52 
                 |f/R5| + |f/R6| 
                 1.11 
               
               
                 (R3 − R4)/(R3 + R4) 
                 −1.13 
                 |f/R7| + |f/R8| 
                 2.06 
               
               
                 (R5 + R6)/(R5 − R6) 
                 −1.10 
                 |f/R9| + |f/R10| 
                 0.88 
               
               
                 (R7 − R8)/(R7 + R8) 
                 0.08 
                 |f/R11| + |f/R12| 
                 1.85 
               
               
                 f/f3 
                 −0.59 
                 |f/R13| + |f/R14| 
                 3.87 
               
               
                 |f1/f2| 
                 67.89 
               
               
                   
               
            
           
         
       
     
     In the 7th embodiment, the following condition is satisfied by one lens element ( 750 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     8th Embodiment 
       FIG. 15  is a schematic view of an imaging apparatus according to the 8th embodiment of the present disclosure.  FIG. 16  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 8th embodiment. In  FIG. 15 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  895 . The photographing optical lens assembly includes, in order from an object side to an image side, a first lens element  810 , an aperture stop  800 , a second lens element  820 , a third lens element  830 , a fourth lens element  840 , a fifth lens element  850 , a sixth lens element  860 , a seventh lens element  870 , a filter  880  and an image surface  890 . The image sensor  895  is disposed on the image surface  890  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 810 ,  820 ,  830 ,  840 ,  850 ,  860  and  870 ) without additional one or more lens elements inserted between the first lens element  810  and the seventh lens element  870 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  810  with negative refractive power has an object-side surface  811  being concave in a paraxial region thereof and an image-side surface  812  being convex in a paraxial region thereof. The first lens element  810  is made of a plastic material, and has the object-side surface  811  and the image-side surface  812  being both aspheric. 
     The second lens element  820  with positive refractive power has an object-side surface  821  being convex in a paraxial region thereof and an image-side surface  822  being convex in a paraxial region thereof. The second lens element  820  is made of a plastic material, and has the object-side surface  821  and the image-side surface  822  being both aspheric. 
     The third lens element  830  with negative refractive power has an object-side surface  831  being concave in a paraxial region thereof and an image-side surface  832  being convex in a paraxial region thereof. The third lens element  830  is made of a plastic material, and has the object-side surface  831  and the image-side surface  832  being both aspheric. 
     The fourth lens element  840  with negative refractive power has an object-side surface  841  being convex in a paraxial region thereof and an image-side surface  842  being concave in a paraxial region thereof. The fourth lens element  840  is made of a plastic material, and has the object-side surface  841  and the image-side surface  842  being both aspheric. 
     The fifth lens element  850  with negative refractive power has an object-side surface  851  being concave in a paraxial region thereof and an image-side surface  852  being convex in a paraxial region thereof. The fifth lens element  850  is made of a plastic material, and has the object-side surface  851  and the image-side surface  852  being both aspheric. 
     The sixth lens element  860  with negative refractive power has an object-side surface  861  being convex in a paraxial region thereof and an image-side surface  862  being concave in a paraxial region thereof. The sixth lens element  860  is made of a plastic material, and has the object-side surface  861  and the image-side surface  862  being both aspheric. Furthermore, the image-side surface  862  of the sixth lens element  860  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  870  with negative refractive power has an object-side surface  871  being convex in a paraxial region thereof and an image-side surface  872  being concave in a paraxial region thereof. The seventh lens element  870  is made of a plastic material, and has the object-side surface  871  and the image-side surface  872  being both aspheric. Furthermore, the image-side surface  872  of the seventh lens element  870  includes at least one inflection point in an off-axis region thereof. 
     The filter  880  is made of a glass material and located between the seventh lens element  870  and the image surface  890 , and will not affect the focal length of the photographing optical lens assembly. 
     The detailed optical data of the 8th embodiment are shown in TABLE 15 and the aspheric surface data are shown in TABLE 16 below. 
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 8th Embodiment 
               
               
                 f = 3.98 mm, Fno = 1.97, HFOV = 37.1 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 Lens 1 
                 −80.672 
                 ASP 
                 0.389 
                 Plastic 
                 1.544 
                 55.9 
                 −517.42 
               
               
                 2 
                   
                 −113.261 
                 ASP 
                 0.405 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 3 
                 Ape. Stop 
                 Plano 
                 −0.379  
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 4 
                 Lens 2 
                 1.477 
                 ASP 
                 0.644 
                 Plastic 
                 1.544 
                 55.9 
                 2.61 
               
               
                 5 
                   
                 −32.358 
                 ASP 
                 0.050 
               
               
                 6 
                 Lens 3 
                 −4.052 
                 ASP 
                 0.230 
                 Plastic 
                 1.584 
                 28.2 
                 −7.08 
               
               
                 7 
                   
                 −201.457 
                 ASP 
                 0.303 
               
               
                 8 
                 Lens 4 
                 5.181 
                 ASP 
                 0.240 
                 Plastic 
                 1.608 
                 25.7 
                 −48.92 
               
               
                 9 
                   
                 4.335 
                 ASP 
                 0.255 
               
               
                 10 
                 Lens 5 
                 −6.887 
                 ASP 
                 0.483 
                 Plastic 
                 1.650 
                 21.5 
                 −66.04 
               
               
                 11 
                   
                 −8.429 
                 ASP 
                 0.055 
               
               
                 12 
                 Lens 6 
                 6.255 
                 ASP 
                 0.733 
                 Plastic 
                 1.642 
                 22.5 
                 −19.25 
               
               
                 13 
                   
                 3.962 
                 ASP 
                 0.238 
               
               
                 14 
                 Lens 7 
                 2.476 
                 ASP 
                 0.810 
                 Plastic 
                 1.534 
                 55.9 
                 −22.87 
               
               
                 15 
                   
                 1.824 
                 ASP 
                 0.280 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 16 
                 Filter 
                 Plano 
                 0.175 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 17 
                   
                 Plano 
                 0.374 
               
               
                 18 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 1 
                 2 
                 4 
                 5 
                 6 
                 7 
                 8 
               
               
                   
               
               
                 k = 
                 −7.0000E+01 
                 −5.3693E+01 
                  6.4198E−01 
                 −5.9793E+01 
                 −2.9027E+01 
                 8.9157E+01 
                  1.2153E+01 
               
               
                 A4 = 
                 −2.1999E−02 
                 −2.9823E−02 
                 −4.3676E−02 
                 −4.0084E−02 
                 −3.7213E−02 
                 5.0597E−02 
                 −3.3344E−01 
               
               
                 A6 = 
                 −1.3367E−03 
                  1.3313E−03 
                  9.4622E−02 
                 −1.4411E−01 
                 −2.6290E−02 
                 6.4758E−02 
                  8.8830E−01 
               
               
                 A8 = 
                  1.2222E−03 
                  2.2497E−03 
                 −2.8935E−01 
                  6.6554E−01 
                  7.2943E−01 
                 2.0620E−01 
                 −3.4988E+00 
               
               
                 A10 = 
                   
                 −6.1941E−05 
                  3.3663E−01 
                 −1.0935E+00 
                 −1.5135E+00 
                 −4.9764E−01  
                  7.9819E+00 
               
               
                 A12 = 
                   
                   
                 −1.7747E−01 
                  8.1396E−01 
                  1.2967E+00 
                 3.5496E−01 
                 −1.0485E+01 
               
               
                 A14 = 
                   
                   
                   
                 −2.2958E−01 
                 −3.7876E−01 
                 −2.3695E−04  
                  7.3160E+00 
               
               
                 A16 = 
                   
                   
                   
                   
                   
                   
                 −2.0514E+00 
               
               
                   
               
               
                 Surface # 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 k = 
                 −1.0672E+00 
                 −2.1563E+00 
                 −1.7308E+01 
                 −1.2456E+01 
                  4.0505E−01 
                 −6.3177E+00 
                 −5.3744E+00 
               
               
                 A4 = 
                 −2.0557E−01 
                 −2.4861E−02 
                  2.8815E−02 
                  3.1914E−02 
                 −3.3850E−02 
                 −1.5193E−01 
                 −8.2001E−02 
               
               
                 A6 = 
                  3.1296E−01 
                  3.1063E−01 
                  3.6887E−02 
                 −1.1796E−01 
                 −1.4764E−03 
                  7.9318E−02 
                  3.3184E−02 
               
               
                 A8 = 
                 −6.8473E−01 
                 −7.0499E−01 
                 −7.0675E−02 
                  8.8489E−02 
                 −1.0727E−03 
                 −2.3784E−02 
                 −1.1408E−02 
               
               
                 A10 = 
                  5.5244E−01 
                  6.7125E−01 
                  5.4070E−02 
                 −3.0896E−02 
                  1.1465E−03 
                  1.9107E−03 
                  2.7654E−03 
               
               
                 A12 = 
                  1.6666E−01 
                 −3.4954E−01 
                 −2.4405E−02 
                  5.2758E−03 
                 −3.4705E−04 
                  5.9588E−04 
                 −4.9720E−04 
               
               
                 A14 = 
                 −5.5993E−01 
                  6.6389E−02 
                  6.2351E−03 
                 −3.5737E−04 
                  4.4884E−05 
                 −1.3059E−04 
                  5.4312E−05 
               
               
                 A16 = 
                  2.8174E−01 
                   
                 −6.9413E−04 
                   
                 −1.8608E−06 
                  7.2375E−06 
                 −2.4441E−06 
               
               
                   
               
            
           
         
       
     
     In the 8th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 8th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 15 and TABLE 16 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 8th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 f [mm] 
                 3.98 
                 |f/fi|min 
                 0.008 
               
               
                 Fno 
                 1.97 
                 |f/fi|max 
                 1.52 
               
               
                 HFOV [deg.] 
                 37.1 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.35 
               
               
                 V2 
                 55.9 
                 f/EPD 
                 1.97 
               
               
                 V4 
                 25.7 
                 TL/f 
                 1.33 
               
               
                 V6 
                 22.5 
                 SD/TD 
                 0.82 
               
               
                 Vmin 
                 21.5 
                 TL/ImgH 
                 1.70 
               
               
                 V4 + V5 + V6 
                 69.7 
                 BL/TD 
                 0.19 
               
               
                 T56/T67 
                 0.23 
                 ImgH/f 
                 0.78 
               
               
                 CT7/CT1 
                 2.08 
                 |f/R1| + |f/R2| 
                 0.08 
               
               
                 R5/CT3 
                 −17.62 
                 |f/R3| + |f/R4| 
                 2.82 
               
               
                 f/R9 
                 −0.58 
                 |f/R5| + |f/R6| 
                 1.00 
               
               
                 (R3 − R4)/(R3 + R4) 
                 −1.10 
                 |f/R7| + |f/R8| 
                 1.68 
               
               
                 (R5 + R6)/(R5 − R6) 
                 −1.04 
                 |f/R9| + |f/R10| 
                 1.05 
               
               
                 (R7 − R8)/(R7 + R8) 
                 0.09 
                 |f/R11| + |f/R12| 
                 1.64 
               
               
                 f/f3 
                 −0.56 
                 |f/R13| + |f/R14| 
                 3.78 
               
               
                 |f1/f2| 
                 198.05 
               
               
                   
               
            
           
         
       
     
     In the 8th embodiment, the following condition is satisfied by one lens element ( 810 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     9th Embodiment 
       FIG. 17  is a schematic view of an imaging apparatus according to the 9th embodiment of the present disclosure.  FIG. 18  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 9th embodiment. In  FIG. 17 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  995 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  900 , a first lens element  910 , a second lens element  920 , a third lens element  930 , a stop  901 , a fourth lens element  940 , a fifth lens element  950 , a sixth lens element  960 , a seventh lens element  970 , a filter  980  and an image surface  990 . The image sensor  995  is disposed on the image surface  990  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 910 ,  920 ,  930 ,  940 ,  950 ,  960  and  970 ) without additional one or more lens elements inserted between the first lens element  910  and the seventh lens element  970 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  910  with positive refractive power has an object-side surface  911  being convex in a paraxial region thereof and an image-side surface  912  being concave in a paraxial region thereof. The first lens element  910  is made of a plastic material, and has the object-side surface  911  and the image-side surface  912  being both aspheric. 
     The second lens element  920  with negative refractive power has an object-side surface  921  being convex in a paraxial region thereof and an image-side surface  922  being concave in a paraxial region thereof. The second lens element  920  is made of a plastic material, and has the object-side surface  921  and the image-side surface  922  being both aspheric. 
     The third lens element  930  with positive refractive power has an object-side surface  931  being convex in a paraxial region thereof and an image-side surface  932  being concave in a paraxial region thereof. The third lens element  930  is made of a plastic material, and has the object-side surface  931  and the image-side surface  932  being both aspheric. 
     The fourth lens element  940  with negative refractive power has an object-side surface  941  being convex in a paraxial region thereof and an image-side surface  942  being concave in a paraxial region thereof. The fourth lens element  940  is made of a plastic material, and has the object-side surface  941  and the image-side surface  942  being both aspheric. 
     The fifth lens element  950  with positive refractive power has an object-side surface  951  being convex in a paraxial region thereof and an image-side surface  952  being convex in a paraxial region thereof. The fifth lens element  950  is made of a plastic material, and has the object-side surface  951  and the image-side surface  952  being both aspheric. 
     The sixth lens element  960  with negative refractive power has an object-side surface  961  being convex in a paraxial region thereof and an image-side surface  962  being concave in a paraxial region thereof. The sixth lens element  960  is made of a plastic material, and has the object-side surface  961  and the image-side surface  962  being both aspheric. Furthermore, the image-side surface  962  of the sixth lens element  960  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  970  with negative refractive power has an object-side surface  971  being convex in a paraxial region thereof and an image-side surface  972  being concave in a paraxial region thereof. The seventh lens element  970  is made of a plastic material, and has the object-side surface  971  and the image-side surface  972  being both aspheric. Furthermore, the image-side surface  972  of the seventh lens element  970  includes at least one inflection point in an off-axis region thereof. 
     The filter  980  is made of a glass material and located between the seventh lens element  970  and the image surface  990 , and will not affect the focal length of the photographing optical lens assembly. 
     Six lens elements ( 910 ,  920 ,  930 ,  940 ,  960  and  970 ) of the photographing optical lens assembly in the 9th embodiment have the object-side surfaces ( 911 ,  921 ,  931 ,  941 ,  961  and  971 ) being convex in the paraxial regions thereof and the image-side surfaces ( 912 ,  922 ,  932 ,  942 ,  962  and  972 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 9th embodiment are shown in TABLE 17 and the aspheric surface data are shown in TABLE 18 below. 
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 9th Embodiment 
               
               
                 f = 4.76 mm, Fno = 1.62, HFOV = 39.0 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.653  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 1.917 
                 ASP 
                 0.617 
                 Plastic 
                 1.545 
                 56.1 
                 6.40 
               
               
                 3 
                   
                 3.769 
                 ASP 
                 0.035 
               
               
                 4 
                 Lens 2 
                 2.200 
                 ASP 
                 0.240 
                 Plastic 
                 1.669 
                 19.5 
                 −9.60 
               
               
                 5 
                   
                 1.567 
                 ASP 
                 0.128 
               
               
                 6 
                 Lens 3 
                 2.610 
                 ASP 
                 0.613 
                 Plastic 
                 1.544 
                 56.0 
                 5.77 
               
               
                 7 
                   
                 14.248 
                 ASP 
                 0.193 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.286 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 49.295 
                 ASP 
                 0.340 
                 Plastic 
                 1.669 
                 19.5 
                 −29.65 
               
               
                 10 
                   
                 14.102 
                 ASP 
                 0.242 
               
               
                 11 
                 Lens 5 
                 108.909 
                 ASP 
                 0.330 
                 Plastic 
                 1.639 
                 23.5 
                 46.16 
               
               
                 12 
                   
                 −40.370 
                 ASP 
                 0.180 
               
               
                 13 
                 Lens 6 
                 5.666 
                 ASP 
                 0.431 
                 Plastic 
                 1.614 
                 26.0 
                 −190.87 
               
               
                 14 
                   
                 5.249 
                 ASP 
                 0.254 
               
               
                 15 
                 Lens 7 
                 2.869 
                 ASP 
                 0.635 
                 Plastic 
                 1.534 
                 55.9 
                 −11.49 
               
               
                 16 
                   
                 1.804 
                 ASP 
                 0.500 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.359 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.180 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 18 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                 6.3273E−02 
                  3.8324E+00 
                  1.8223E−01 
                 −1.6364E−01 
                 5.0349E−01 
                  1.0960E+01 
                  0.0000E+00 
               
               
                 A4 = 
                 2.2875E−03 
                 −6.1223E−02 
                 −1.6416E−01 
                 −1.4514E−01 
                 −1.6194E−02  
                 −1.1435E−02 
                 −9.4486E−02 
               
               
                 A6 = 
                 −3.2715E−03  
                  2.0898E−01 
                  3.0095E−01 
                  1.5886E−01 
                 3.6136E−02 
                  5.6130E−02 
                  1.4678E−01 
               
               
                 A8 = 
                 8.3099E−03 
                 −2.8649E−01 
                 −4.0017E−01 
                 −1.6704E−01 
                 −1.9676E−02  
                 −1.6435E−01 
                 −4.3962E−01 
               
               
                 A10 = 
                 −1.0134E−02  
                  1.9990E−01 
                  2.9631E−01 
                  8.8008E−02 
                 1.3009E−03 
                  2.7122E−01 
                  6.9866E−01 
               
               
                 A12 = 
                 5.1818E−03 
                 −7.7540E−02 
                 −1.2490E−01 
                 −1.8869E−02 
                 2.3232E−03 
                 −2.3605E−01 
                 −6.3862E−01 
               
               
                 A14 = 
                 −1.1249E−03  
                  1.6173E−02 
                  2.9104E−02 
                  3.2879E−04 
                 2.9265E−04 
                  1.0376E−01 
                  3.0636E−01 
               
               
                 A16 = 
                   
                 −1.5483E−03 
                 −3.0214E−03 
                   
                   
                 −1.7470E−02 
                 −6.0061E−02 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                 −1.5038E+00 
                  0.0000E+00 
                 0.0000E+00 
                 −6.2610E−01 
                 −3.7242E−01 
                 −1.0000E+00 
                 −1.0000E+00 
               
               
                 A4 = 
                 −9.0183E−02 
                 −5.6893E−02 
                 3.9588E−03 
                  1.0229E−01 
                  2.6007E−02 
                 −2.4422E−01 
                 −2.0920E−01 
               
               
                 A6 = 
                  1.1393E−01 
                  8.6151E−02 
                 −1.1128E−01  
                 −2.5248E−01 
                 −7.0933E−02 
                  9.4570E−02 
                  9.5829E−02 
               
               
                 A8 = 
                 −2.3752E−01 
                 −1.3821E−01 
                 1.3659E−01 
                  2.2130E−01 
                  4.1449E−02 
                 −2.0575E−02 
                 −3.6625E−02 
               
               
                 A10 = 
                  2.6715E−01 
                  1.2255E−01 
                 −8.8101E−02  
                 −1.2876E−01 
                 −1.6529E−02 
                  2.8087E−03 
                  9.7764E−03 
               
               
                 A12 = 
                 −1.7727E−01 
                 −6.8417E−02 
                 3.0645E−02 
                  4.5953E−02 
                  4.3068E−03 
                 −2.4037E−04 
                 −1.6615E−03 
               
               
                 A14 = 
                  6.2390E−02 
                  1.9178E−02 
                 −5.3498E−03  
                 −9.3433E−03 
                 −6.6656E−04 
                  1.2535E−05 
                  1.6926E−04 
               
               
                 A16 = 
                 −8.6624E−03 
                 −1.9865E−03 
                 3.6643E−04 
                  9.9131E−04 
                  5.4931E−05 
                 −4.0906E−07 
                 −9.3714E−06 
               
               
                 A18 = 
                   
                   
                   
                 −4.2599E−05 
                 −1.8450E−06 
                  8.5237E−09 
                  2.1616E−07 
               
               
                   
               
            
           
         
       
     
     In the 9th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 9th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 17 and TABLE 18 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 9th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.76 
                 |f/fi|min 
                 0.025 
               
               
                   
                 Fno 
                 1.62 
                 |f/fi|max 
                 0.83 
               
               
                   
                 HFOV [deg.] 
                 39.0 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.29 
               
               
                   
                 V2 
                 19.5 
                 f/EPD 
                 1.62 
               
               
                   
                 V4 
                 19.5 
                 TL/f 
                 1.18 
               
               
                   
                 V6 
                 26.0 
                 SD/TD 
                 0.86 
               
               
                   
                 Vmin 
                 19.5 
                 TL/ImgH 
                 1.42 
               
               
                   
                 V4 + V5 + V6 
                 69.0 
                 BL/TD 
                 0.24 
               
               
                   
                 T56/T67 
                 0.71 
                 ImgH/f 
                 0.83 
               
               
                   
                 CT7/CT1 
                 1.03 
                 |f/R1| + |f/R2| 
                 3.75 
               
               
                   
                 R5/CT3 
                 4.26 
                 |f/R3| + |f/R4| 
                 5.20 
               
               
                   
                 f/R9 
                 0.04 
                 |f/R5| + |f/R6| 
                 2.16 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.17 
                 |f/R7| + |f/R8| 
                 0.43 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.45 
                 |f/R9| + |f/R10| 
                 0.16 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 0.56 
                 |f/R11| + |f/R12| 
                 1.75 
               
               
                   
                 f/f3 
                 0.83 
                 |f/R13| + |f/R14| 
                 4.30 
               
               
                   
                 |f1/f2| 
                 0.67 
               
               
                   
                   
               
            
           
         
       
     
     In the 9th embodiment, Abbe numbers of two lens elements ( 920  and  940 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by two lens elements ( 940  and  950 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     10th Embodiment 
       FIG. 19  is a schematic view of an imaging apparatus according to the 10th embodiment of the present disclosure.  FIG. 20  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 10th embodiment. In  FIG. 19 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  1095 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  1000 , a first lens element  1010 , a second lens element  1020 , a third lens element  1030 , a stop  1001 , a fourth lens element  1040 , a fifth lens element  1050 , a sixth lens element  1060 , a seventh lens element  1070 , a filter  1080  and an image surface  1090 . The image sensor  1095  is disposed on the image surface  1090  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 1010 ,  1020 ,  1030 ,  1040 ,  1050 ,  1060  and  1070 ) without additional one or more lens elements inserted between the first lens element  1010  and the seventh lens element  1070 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  1010  with positive refractive power has an object-side surface  1011  being convex in a paraxial region thereof and an image-side surface  1012  being concave in a paraxial region thereof. The first lens element  1010  is made of a plastic material, and has the object-side surface  1011  and the image-side surface  1012  being both aspheric. 
     The second lens element  1020  with negative refractive power has an object-side surface  1021  being convex in a paraxial region thereof and an image-side surface  1022  being concave in a paraxial region thereof. The second lens element  1020  is made of a plastic material, and has the object-side surface  1021  and the image-side surface  1022  being both aspheric. 
     The third lens element  1030  with positive refractive power has an object-side surface  1031  being convex in a paraxial region thereof and an image-side surface  1032  being concave in a paraxial region thereof. The third lens element  1030  is made of a plastic material, and has the object-side surface  1031  and the image-side surface  1032  being both aspheric. 
     The fourth lens element  1040  with negative refractive power has an object-side surface  1041  being convex in a paraxial region thereof and an image-side surface  1042  being concave in a paraxial region thereof. The fourth lens element  1040  is made of a plastic material, and has the object-side surface  1041  and the image-side surface  1042  being both aspheric. 
     The fifth lens element  1050  with negative refractive power has an object-side surface  1051  being convex in a paraxial region thereof and an image-side surface  1052  being concave in a paraxial region thereof. The fifth lens element  1050  is made of a plastic material, and has the object-side surface  1051  and the image-side surface  1052  being both aspheric. 
     The sixth lens element  1060  with positive refractive power has an object-side surface  1061  being convex in a paraxial region thereof and an image-side surface  1062  being concave in a paraxial region thereof. The sixth lens element  1060  is made of a plastic material, and has the object-side surface  1061  and the image-side surface  1062  being both aspheric. Furthermore, the image-side surface  1062  of the sixth lens element  1060  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  1070  with negative refractive power has an object-side surface  1071  being convex in a paraxial region thereof and an image-side surface  1072  being concave in a paraxial region thereof. The seventh lens element  1070  is made of a plastic material, and has the object-side surface  1071  and the image-side surface  1072  being both aspheric. Furthermore, the image-side surface  1072  of the seventh lens element  1070  includes at least one inflection point in an off-axis region thereof. 
     The filter  1080  is made of a glass material and located between the seventh lens element  1070  and the image surface  1090 , and will not affect the focal length of the photographing optical lens assembly. 
     Seven lens elements ( 1010 ,  1020 ,  1030 ,  1040 ,  1050 ,  1060  and  1070 ) of the photographing optical lens assembly in the 10th embodiment have the object-side surfaces ( 1011 ,  1021 ,  1031 ,  1041 ,  1051 ,  1061  and  1071 ) being convex in the paraxial regions thereof and the image-side surfaces ( 1012 ,  1022 ,  1032 ,  1042 ,  1052 ,  1062  and  1072 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 10th embodiment are shown in TABLE 19 and the aspheric surface data are shown in TABLE 20 below. 
     
       
         
           
               
             
               
                 TABLE 19 
               
             
            
               
                   
               
               
                 10th Embodiment 
               
               
                 f = 4.70 mm, Fno = 1.53, HFOV = 39.2 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.625  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 1.899 
                 ASP 
                 0.845 
                 Plastic 
                 1.545 
                 56.1 
                 5.94 
               
               
                 3 
                   
                 3.872 
                 ASP 
                 0.145 
               
               
                 4 
                 Lens 2 
                 3.950 
                 ASP 
                 0.240 
                 Plastic 
                 1.669 
                 19.5 
                 −7.74 
               
               
                 5 
                   
                 2.186 
                 ASP 
                 0.047 
               
               
                 6 
                 Lens 3 
                 2.324 
                 ASP 
                 0.500 
                 Plastic 
                 1.544 
                 56.0 
                 5.70 
               
               
                 7 
                   
                 8.551 
                 ASP 
                 0.150 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.246 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 17.241 
                 ASP 
                 0.332 
                 Plastic 
                 1.669 
                 19.5 
                 −43.02 
               
               
                 10 
                   
                 10.697 
                 ASP 
                 0.269 
               
               
                 11 
                 Lens 5 
                 13.827 
                 ASP 
                 0.330 
                 Plastic 
                 1.639 
                 23.5 
                 −51.92 
               
               
                 12 
                   
                 9.667 
                 ASP 
                 0.121 
               
               
                 13 
                 Lens 6 
                 3.323 
                 ASP 
                 0.423 
                 Plastic 
                 1.614 
                 26.0 
                 23.06 
               
               
                 14 
                   
                 4.132 
                 ASP 
                 0.253 
               
               
                 15 
                 Lens 7 
                 2.902 
                 ASP 
                 0.628 
                 Plastic 
                 1.534 
                 55.9 
                 −11.76 
               
               
                 16 
                   
                 1.835 
                 ASP 
                 0.500 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.353 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.190 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                 −1.8856E−01 
                 −1.1225E+01 
                  3.2784E−01 
                 1.3952E−02 
                 −6.9658E−01 
                 −2.5557E+01 
                  0.0000E+00 
               
               
                 A4 = 
                 −2.9353E−03 
                  1.5565E−02 
                 −6.4309E−02 
                 −1.2243E−01  
                 −6.2983E−02 
                 −1.4629E−03 
                 −9.4814E−02 
               
               
                 A6 = 
                  8.7274E−03 
                 −6.9529E−02 
                 −4.6000E−02 
                 2.2408E−02 
                  2.781 0E−02 
                  3.4091E−02 
                  1.4702E−01 
               
               
                 A8 = 
                 −1.3288E−02 
                  8.4481E−02 
                  1.2765E−01 
                 8.0702E−02 
                  2.0308E−02 
                 −7.2899E−02 
                 −4.4593E−01 
               
               
                 A10 = 
                  6.0846E−03 
                 −8.1254E−02 
                 −1.4324E−01 
                 −1.3420E−01  
                 −6.4494E−02 
                  8.5668E−02 
                  7.1076E−01 
               
               
                 A12 = 
                  3.7410E−04 
                  4.6515E−02 
                  9.1312E−02 
                 9.5306E−02 
                  4.2288E−02 
                 −6.0069E−02 
                 −6.4460E−01 
               
               
                 A14 = 
                 −1.4325E−03 
                 −1.3670E−02 
                 −2.9646E−02 
                 −2.9536E−02  
                 −7.0825E−03 
                  1.8381E−02 
                  3.0092E−01 
               
               
                 A16 = 
                  2.9174E−04 
                  1.5954E−03 
                  3.8039E−03 
                 3.0850E−03 
                   
                   
                 −5.6243E−02 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                  8.8952E+00 
                  0.0000E+00 
                 −3.2199E+01 
                 −4.3991E+00 
                 0.0000E+00 
                 −7.5541E+00 
                 −1.0000E+00 
               
               
                 A4 = 
                 −8.3875E−02 
                 −5.4422E−02 
                 −4.7048E−02 
                  5.0566E−02 
                 6.5308E−03 
                 −2.1659E−01 
                 −2.0762E−01 
               
               
                 A6 = 
                  7.4605E−02 
                  8.1841E−02 
                 −6.6807E−02 
                 −2.3157E−01 
                 −7.3807E−02  
                  8.4016E−02 
                  9.4388E−02 
               
               
                 A8 = 
                 −1.8420E−01 
                 −1.4534E−01 
                  1.1483E−01 
                  2.3165E−01 
                 5.1260E−02 
                 −1.3544E−02 
                 −3.5034E−02 
               
               
                 A10 = 
                  2.2657E−01 
                  1.3981E−01 
                 −8.3522E−02 
                 −1.4539E−01 
                 −2.2618E−02  
                  2.1088E−04 
                  9.0780E−03 
               
               
                 A12 = 
                 −1.6126E−01 
                 −8.3606E−02 
                  3.0212E−02 
                  5.4560E−02 
                 6.3248E−03 
                  2.6747E−04 
                 −1.5006E−03 
               
               
                 A14 = 
                  5.9239E−02 
                  2.4973E−02 
                 −5.2709E−03 
                 −1.1563E−02 
                 −1.0460E−03  
                 −4.2237E−05 
                  1.4886E−04 
               
               
                 A16 = 
                 −8.3454E−03 
                 −2.7638E−03 
                  3.5382E−04 
                  1.2772E−03 
                 9.2433E−05 
                  2.7027E−06 
                 −8.0377E−06 
               
               
                 A18 = 
                   
                   
                   
                 −5.7269E−05 
                 −3.3443E−06  
                 −6.4669E−08 
                  1.8113E−07 
               
               
                   
               
            
           
         
       
     
     In the 10th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 10th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 19 and TABLE 20 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 10th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.70 
                 |f/fi|min 
                 0.091 
               
               
                   
                 Fno 
                 1.53 
                 |f/fi|max 
                 0.82 
               
               
                   
                 HFOV [deg.] 
                 39.2 
                 f/f4| + |f/f5| + |f/f6| 
                 0.40 
               
               
                   
                 V2 
                 19.5 
                 f/EPD 
                 1.53 
               
               
                   
                 V4 
                 19.5 
                 TL/f 
                 1.19 
               
               
                   
                 V6 
                 26.0 
                 SD/TD 
                 0.86 
               
               
                   
                 Vmin 
                 19.5 
                 TL/ImgH 
                 1.42 
               
               
                   
                 V4 + V5 + V6 
                 69.0 
                 BL/TD 
                 0.23 
               
               
                   
                 T56/T67 
                 0.48 
                 ImgH/f 
                 0.84 
               
               
                   
                 CT7/CT1 
                 0.74 
                 |f/R1| + |f/R2| 
                 3.69 
               
               
                   
                 R5/CT3 
                 4.65 
                 |f/R3| + |f/R4| 
                 3.34 
               
               
                   
                 f/R9 
                 0.34 
                 |f/R5| + |f/R6| 
                 2.57 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.29 
                 |f/R7| + |f/R8| 
                 0.71 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.75 
                 |f/R9| + |f/R10| 
                 0.83 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 0.23 
                 |f/R11| + |f/R12| 
                 2.55 
               
               
                   
                 f/f3 
                 0.82 
                 |f/R13| + |f/R14| 
                 4.18 
               
               
                   
                 |f1/f2| 
                 0.77 
               
               
                   
                   
               
            
           
         
       
     
     In the 10th embodiment, Abbe numbers of two lens elements ( 1020  and  1040 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by two lens elements ( 1040  and  1050 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     11th Embodiment 
       FIG. 21  is a schematic view of an imaging apparatus according to the 11th embodiment of the present disclosure.  FIG. 22  shows spherical aberration curves, astigmatic field curves and a distortion curve of the imaging apparatus according to the 11th embodiment. In  FIG. 21 , the imaging apparatus includes a photographing optical lens assembly (its reference numeral is omitted) and an image sensor  1195 . The photographing optical lens assembly includes, in order from an object side to an image side, an aperture stop  1100 , a first lens element  1110 , a second lens element  1120 , a third lens element  1130 , a stop  1101 , a fourth lens element  1140 , a fifth lens element  1150 , a sixth lens element  1160 , a seventh lens element  1170 , a filter  1180  and an image surface  1190 . The image sensor  1195  is disposed on the image surface  1190  of the photographing optical lens assembly. The photographing optical lens assembly includes seven lens elements ( 1110 ,  1120 ,  1130 ,  1140 ,  1150 ,  1160  and  1170 ) without additional one or more lens elements inserted between the first lens element  1110  and the seventh lens element  1170 , and there is an air gap in a paraxial region between each of adjacent lens elements of the seven lens elements. 
     The first lens element  1110  with positive refractive power has an object-side surface  1111  being convex in a paraxial region thereof and an image-side surface  1112  being concave in a paraxial region thereof. The first lens element  1110  is made of a plastic material, and has the object-side surface  1111  and the image-side surface  1112  being both aspheric. 
     The second lens element  1120  with negative refractive power has an object-side surface  1121  being convex in a paraxial region thereof and an image-side surface  1122  being concave in a paraxial region thereof. The second lens element  1120  is made of a plastic material, and has the object-side surface  1121  and the image-side surface  1122  being both aspheric. 
     The third lens element  1130  with positive refractive power has an object-side surface  1131  being convex in a paraxial region thereof and an image-side surface  1132  being concave in a paraxial region thereof. The third lens element  1130  is made of a plastic material, and has the object-side surface  1131  and the image-side surface  1132  being both aspheric. 
     The fourth lens element  1140  with negative refractive power has an object-side surface  1141  being convex in a paraxial region thereof and an image-side surface  1142  being concave in a paraxial region thereof. The fourth lens element  1140  is made of a plastic material, and has the object-side surface  1141  and the image-side surface  1142  being both aspheric. 
     The fifth lens element  1150  with negative refractive power has an object-side surface  1151  being convex in a paraxial region thereof and an image-side surface  1152  being concave in a paraxial region thereof. The fifth lens element  1150  is made of a plastic material, and has the object-side surface  1151  and the image-side surface  1152  being both aspheric. 
     The sixth lens element  1160  with negative refractive power has an object-side surface  1161  being convex in a paraxial region thereof and an image-side surface  1162  being concave in a paraxial region thereof. The sixth lens element  1160  is made of a plastic material, and has the object-side surface  1161  and the image-side surface  1162  being both aspheric. Furthermore, the image-side surface  1162  of the sixth lens element  1160  includes at least one inflection point in an off-axis region thereof. 
     The seventh lens element  1170  with negative refractive power has an object-side surface  1171  being convex in a paraxial region thereof and an image-side surface  1172  being concave in a paraxial region thereof. The seventh lens element  1170  is made of a plastic material, and has the object-side surface  1171  and the image-side surface  1172  being both aspheric. Furthermore, the image-side surface  1172  of the seventh lens element  1170  includes at least one inflection point in an off-axis region thereof. 
     The filter  1180  is made of a glass material and located between the seventh lens element  1170  and the image surface  1190 , and will not affect the focal length of the photographing optical lens assembly. 
     Seven lens elements ( 1110 ,  1120 ,  1130 ,  1140 ,  1150 ,  1160  and  1170 ) of the photographing optical lens assembly in the 11th embodiment have the object-side surfaces ( 1111 ,  1121 ,  1131 ,  1141 ,  1151 ,  1161  and  1171 ) being convex in the paraxial regions thereof and the image-side surfaces ( 1112 ,  1122 ,  1132 ,  1142 ,  1052 ,  1162  and  1172 ) being concave in the paraxial regions thereof. 
     The detailed optical data of the 11th embodiment are shown in TABLE 21 and the aspheric surface data are shown in TABLE 22 below. 
     
       
         
           
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                 11th Embodiment 
               
               
                 f = 4.76 mm, Fno = 1.62, HFOV = 38.9 deg. 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                   
                 Curvature Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 Focal Length 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.671  
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 2 
                 Lens 1 
                 1.872 
                 ASP 
                 0.660 
                 Plastic 
                 1.545 
                 56.1 
                 6.36 
               
               
                 3 
                   
                 3.559 
                 ASP 
                 0.035 
               
               
                 4 
                 Lens 2 
                 2.276 
                 ASP 
                 0.240 
                 Plastic 
                 1.669 
                 19.5 
                 −9.92 
               
               
                 5 
                   
                 1.623 
                 ASP 
                 0.120 
               
               
                 6 
                 Lens 3 
                 2.555 
                 ASP 
                 0.566 
                 Plastic 
                 1.544 
                 56.0 
                 6.00 
               
               
                 7 
                   
                 10.845 
                 ASP 
                 0.140 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 8 
                 Stop 
                 Plano 
                 0.259 
                   
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 9 
                 Lens 4 
                 100.000 
                 ASP 
                 0.362 
                 Plastic 
                 1.669 
                 19.5 
                 −74.47 
               
               
                 10 
                   
                 33.199 
                 ASP 
                 0.329 
               
               
                 11 
                 Lens 5 
                 26.006 
                 ASP 
                 0.330 
                 Plastic 
                 1.669 
                 19.5 
                 −87.07 
               
               
                 12 
                   
                 17.886 
                 ASP 
                 0.177 
               
               
                 13 
                 Lens 6 
                 5.623 
                 ASP 
                 0.435 
                 Plastic 
                 1.669 
                 19.5 
                 −190.93 
               
               
                 14 
                   
                 5.218 
                 ASP 
                 0.212 
               
               
                 15 
                 Lens 7 
                 2.764 
                 ASP 
                 0.662 
                 Plastic 
                 1.534 
                 55.9 
                 −14.92 
               
               
                 16 
                   
                 1.881 
                 ASP 
                 0.500 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 17 
                 Filter 
                 Plano 
                 0.210 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 18 
                   
                 Plano 
                 0.356 
               
               
                 19 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Reference wavelength is 587.6 nm (d-line). 
               
               
                 Effective radius of Surface 8 is 1.175 mm. 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 22 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface # 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 9 
               
               
                   
               
               
                 k = 
                 4.9799E−02 
                 2.0541E+00 
                 1.2122E−01 
                 −1.4576E−01 
                 8.7261E−01 
                 3.4046E+01 
                  0.0000E+00 
               
               
                 A4 = 
                 6.1793E−04 
                 −8.5288E−02  
                 −1.9204E−01  
                 −1.6667E−01 
                 −4.1824E−02  
                 −2.2541E−02  
                 −4.7162E−02 
               
               
                 A6 = 
                 6.0717E−04 
                 2.1129E−01 
                 3.0927E−01 
                  1.7755E−01 
                 5.1487E−02 
                 7.4384E−02 
                 −8.0235E−02 
               
               
                 A8 = 
                 1.4612E−03 
                 −2.5100E−01  
                 −3.4976E−01  
                 −1.6716E−01 
                 −5.2223E−02  
                 −2.0108E−01  
                  1.7990E−01 
               
               
                 A10 = 
                 −4.9309E−03  
                 1.4655E−01 
                 2.1433E−01 
                  8.1085E−02 
                 3.6101E−02 
                 2.7942E−01 
                 −2.3675E−01 
               
               
                 A12 = 
                 3.3059E−03 
                 −4.1369E−02  
                 −6.5454E−02  
                 −1.4402E−02 
                 −1.7631E−02  
                 −1.8900E−01  
                  1.4612E−01 
               
               
                 A14 = 
                 −8.6910E−04  
                 4.3993E−03 
                 7.9177E−03 
                 −4.9698E−04 
                 5.5898E−03 
                 5.1629E−02 
                 −3.3725E−02 
               
               
                   
               
               
                 Surface # 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
                 16 
               
               
                   
               
               
                 k = 
                  0.0000E+00 
                  7.9117E+00 
                  1.1612E+01 
                 1.5286E−01 
                 −1.7014E−02 
                 −9.2873E−01 
                 −1.0000E+00 
               
               
                 A4 = 
                 −5.6555E−02 
                 −7.3869E−02 
                 −3.3645E−02 
                 7.4078E−02 
                  1.4068E−02 
                 −2.4874E−01 
                 −2.0004E−01 
               
               
                 A6 = 
                  7.7894E−03 
                  9.1019E−02 
                 −6.9595E−02 
                 −2.2374E−01  
                 −6.8571E−02 
                  1.1130E−01 
                  9.2440E−02 
               
               
                 A8 = 
                 −3.5261E−02 
                 −1.3096E−01 
                  1.0710E−01 
                 2.0057E−01 
                  4.4804E−02 
                 −3.4330E−02 
                 −3.5845E−02 
               
               
                 A10 = 
                  5.0648E−02 
                  1.0845E−01 
                 −7.7731E−02 
                 −1.1622E−01  
                 −1.9066E−02 
                  7.9892E−03 
                  9.6685E−03 
               
               
                 A12 = 
                 −4.6693E−02 
                 −6.0865E−02 
                  2.8718E−02 
                 4.1271E−02 
                  5.1290E−03 
                 −1.3146E−03 
                 −1.6568E−03 
               
               
                 A14 = 
                  2.3196E−02 
                  1.7949E−02 
                 −5.1523E−03 
                 −8.4085E−03  
                 −8.0550E−04 
                  1.3923E−04 
                  1.7004E−04 
               
               
                 A16 = 
                 −4.1735E−03 
                 −1.9989E−03 
                  3.5623E−04 
                 9.0112E−04 
                  6.6671E−05 
                 −8.4076E−06 
                 −9.4952E−06 
               
               
                 A18 = 
                   
                   
                   
                 −3.9413E−05  
                 −2.2343E−06 
                  2.1922E−07 
                  2.2159E−07 
               
               
                   
               
            
           
         
       
     
     In the 11th embodiment, the equation of the aspheric surface profiles of the aforementioned lens elements is the same as the equation of the 1st embodiment. Also, the definitions of these parameters shown in the following table are the same as those stated in the 1st embodiment with corresponding values for the 11th embodiment, so an explanation in this regard will not be provided again. 
     Moreover, these parameters can be calculated from TABLE 21 and TABLE 22 as the following values and satisfy the following conditions: 
     
       
         
           
               
             
               
                   
               
               
                 11th Embodiment 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 f [mm] 
                 4.76 
                 |f/fi|min 
                 0.025 
               
               
                   
                 Fno 
                 1.62 
                 |f/fi|max 
                 0.79 
               
               
                   
                 HFOV [deg.] 
                 38.9 
                 |f/f4| + |f/f5| + |f/f6| 
                 0.14 
               
               
                   
                 V2 
                 19.5 
                 f/EPD 
                 1.62 
               
               
                   
                 V4 
                 19.5 
                 TL/f 
                 1.18 
               
               
                   
                 V6 
                 19.5 
                 SD/TD 
                 0.85 
               
               
                   
                 Vmin 
                 19.5 
                 TL/ImgH 
                 1.42 
               
               
                   
                 V4 + V5 + V6 
                 58.5 
                 BL/TD 
                 0.24 
               
               
                   
                 T56/T67 
                 0.83 
                 ImgH/f 
                 0.83 
               
               
                   
                 CT7/CT1 
                 1.00 
                 |f/R1| + |f/R2| 
                 3.88 
               
               
                   
                 R5/CT3 
                 4.51 
                 |f/R3| + |f/R4| 
                 5.02 
               
               
                   
                 f/R9 
                 0.18 
                 |f/R5| + |f/R6| 
                 2.30 
               
               
                   
                 (R3 − R4)/(R3 + R4) 
                 0.17 
                 |f/R7| + |f/R8| 
                 0.19 
               
               
                   
                 (R5 + R6)/(R5 − R6) 
                 −1.62 
                 |f/R9| + |f/R10| 
                 0.45 
               
               
                   
                 (R7 − R8)/(R7 + R8) 
                 0.50 
                 |f/R11| + |f/R12| 
                 1.76 
               
               
                   
                 f/f3 
                 0.79 
                 |f/R13| + |f/R14| 
                 4.25 
               
               
                   
                 |f1/f2| 
                 0.64 
               
               
                   
                   
               
            
           
         
       
     
     In the 11th embodiment, Abbe numbers of four lens elements ( 1120 ,  1140 ,  1150  and  1160 ) of the photographing optical lens assembly are greater than 10.0 and smaller than 22.0. Furthermore, the following condition is satisfied by two lens elements ( 1140  and  1150 ) of the photographing optical lens assembly: |f/Rf|+|f/Rr|&lt;1.0. 
     12th Embodiment 
       FIG. 23  is a three-dimensional schematic view of an imaging apparatus  10  according to the 12th embodiment of the present disclosure. In  FIG. 23 , the imaging apparatus  10  of the 12th embodiment is a camera module, the imaging apparatus  10  includes an imaging lens assembly  11 , a driving apparatus  12  and an image sensor  13 , wherein the imaging lens assembly  11  includes the photographing optical lens assembly according to the present disclosure and a lens barrel (its reference numeral is omitted) for carrying the photographing optical lens assembly. The imaging apparatus  10  can focus light from an imaged object via the imaging lens assembly  11 , perform image focusing by the driving apparatus  12 , and generate an image on the image sensor  13 , and the imaging information can be transmitted. 
     The driving apparatus  12  can be an auto-focus module, which can be driven by driving systems, such as voice coil motors (VCM), micro electro-mechanical systems (MEMS), piezoelectric systems, and shape memory alloys etc. The photographing optical lens assembly can obtain a favorable imaging position by the driving apparatus  12  so as to capture clear images when the imaged object is disposed at different object distances. 
     The imaging apparatus  10  can include the image sensor  13  located on the image surface of the photographing optical lens assembly, such as CMOS and CCD, with superior photosensitivity and low noise. Thus, it is favorable for providing realistic images with high definition image quality thereof. 
     Moreover, the imaging apparatus  10  can further include an image stabilization module  14 , which can be a kinetic energy sensor, such as an accelerometer, a gyro sensor, and a Hall Effect sensor. In the 12th embodiment, the image stabilization module  14  is a gyro sensor, but is not limited thereto. Therefore, the variation of different axial directions of the photographing optical lens assembly can adjusted so as to compensate the image blur generated by motion at the moment of exposure, and it is further favorable for enhancing the image quality while photographing in motion and low light situation. Furthermore, advanced image compensation functions, such as optical image stabilizations ( 01 S) and electronic image stabilizations (EIS) etc., can be provided. 
     13th Embodiment 
       FIG. 24A  is a schematic view of one side of an electronic device  20  according to the 13th embodiment of the present disclosure.  FIG. 24B  is a schematic view of another side of the electronic device  20  of  FIG. 24A .  FIG. 24C  is a system schematic view of the electronic device  20  of  FIG. 24A . In  FIGS. 24A, 24B and 24C , the electronic device  20  according to the 13th embodiment is a smartphone, wherein the electronic device  20  includes two imaging apparatuses, a flash module  21 , a focusing assisting module  22 , an image signal processor (ISP)  23 , a user interface  24  and an image software processor  25 . When the user captures images of an imaged object  26  via the user interface  24 , the electronic device  20  focuses and generates an image via the imaging apparatus while compensating for low illumination via the flash module  21  when necessary. Then, the electronic device  20  quickly focuses on the imaged object according to its object distance information provided by the focusing assisting module  22 , and optimizes the image via the image signal processor  23  (ISP) and the image software processor  25 . Thus, the image quality can be further enhanced. The focusing assisting module  22  can adopt conventional infrared or laser for obtaining quick focusing, and the user interface  24  can utilize a touch screen or a physical button for capturing and processing the image with various functions of the image processing software. 
     According to the 13th embodiment, the two imaging apparatuses are a first imaging apparatus  80  and a second imaging apparatus  90 , but not limited by the configurations in  FIG. 24A . The first imaging apparatus  80  is the same as the imaging apparatus  10  stated in the 12th embodiment and includes an imaging lens assembly  81 , a driving apparatus  82 , an image sensor  83  and an image stabilization module  84 , wherein the imaging lens assembly  81  includes the photographing optical lens assembly according to the present disclosure. The second imaging apparatus  90  includes an imaging lens assembly  91 , a driving apparatus  92 , an image sensor  93  and an image stabilization module  94 , wherein the imaging lens assembly  91  includes an optical lens unit, which may be or may not be the same as the photographing optical lens assembly according to the present disclosure. Furthermore, the first imaging apparatus  80  and the second imaging apparatus  90  are facing the same side of the electronic device  20 , and there is a difference of at least 20 degrees between a maximum field of view of the first imaging apparatus  80  and a maximum field of view of the second imaging apparatus  90 . Therefore, it is favorable for enhancing the image quality and expanding the applications. 
     14th Embodiment 
       FIG. 25  is a schematic view of one side of an electronic device  30  according to the 14th embodiment of the present disclosure. In  FIG. 25 , the electronic device  30  according to the 14th embodiment is a smartphone, wherein the electronic device  30  includes three imaging apparatuses  30   a ,  30   b ,  30   c , a flash module  31 , a focusing assisting module  32 , an image signal processor  33 , a user interface (not shown in drawings) and an image software processor (not shown in drawings). When the user captures images of an imaged object (not shown in drawings) via the user interface, the electronic device  30  focuses and generates an image via the imaging apparatuses  30   a ,  30   b ,  30   c  while compensating for low illumination via the flash module  31  when necessary. Then, the electronic device  30  quickly focuses on the imaged object according to its object distance information provided by the focusing assisting module  32 , and optimizes the image via the image signal processor  33  and the image software processor. Thus, the image quality can be further enhanced. The focusing assisting module  32  can adopt conventional infrared or laser for obtaining quick focusing, and the user interface can utilize a touch screen or a physical button for capturing and processing the image with various functions of the image processing software. 
     At least one of the imaging apparatuses  30   a ,  30   b ,  30   c  according to the 14th embodiment is the same as the imaging apparatus  10  according to the 12th embodiment, and will not describe again herein. In detail, in the 14th embodiment, the imaging apparatuses  30   a ,  30   b ,  30   c  can be a wide-angle imaging apparatus, a telephoto imaging apparatus and an imaging apparatus with general field of view (between the wide-angle and the telephoto), respectively, or can be others kind of imaging apparatus, and will not be limited thereto. 
     15th Embodiment 
       FIG. 26  is a schematic view of an electronic device  40  according to the 15th embodiment of the present disclosure. The electronic device  40  of the 15th embodiment is a wearable device, wherein the electronic device  40  includes an imaging apparatus  41 , and the imaging apparatus  41  is the same as stated in the 12th embodiment, and will not describe again herein. 
     The foregoing description, for purpose of explanation, has been described with reference to specific embodiments. It is to be noted that Tables show different data of the different embodiments; however, the data of the different embodiments are obtained from experiments. The embodiments were chosen and described in order to best explain the principles of the disclosure and its practical applications, to thereby enable others skilled in the art to best utilize the disclosure and various embodiments with various modifications as are suited to the particular use contemplated. The embodiments depicted above and the appended drawings are exemplary and are not intended to be exhaustive or to limit the scope of the present disclosure to the precise forms disclosed. Many modifications and variations are possible in view of the above teachings.