Abstract:
A positive-negative-positive-positive-positive zoom lens changes magnification by moving each of a first group to a fourth group so as to alter the interval between each group. The third group comprises first and second lens components, at least one of which has an aspheric surface, and the first lens component is a positive-negative-positive cemented lens in sequence from the object side. The zoom lens satisfies the conditional expressions, 7&lt;β2t/β2w&lt;10, 5&lt;β3t/β3w&lt;12, 0.7&lt;(β2t/β2w)/(β3t/β3w)&lt;1.65) (where: β2t is the lateral magnification of the second group at the telephoto end; β2w is the lateral magnification of the second group at the wide end; β3t is the lateral magnification of the third group at the telephoto end; and β3w is the lateral magnification of the third group at the wide end).

Description:
TECHNICAL FIELD 
       [0001]    The invention relates to a zoom lens system, an imaging optical device, and a digital apparatus. More specifically, the present invention relates to a high variable power zoom lens system suitable for use in digital apparatuses equipped with an image input function, such as a digital camera that captures an image of a subject by using an image sensing device (for example, a solid-state image sensing device such as a CCD (charge coupled device) type image sensor or a CMOS (complementary metal-oxide semiconductor) type image sensor), an imaging optical device that outputs the image of the subject, which is captured by using the zoom lens system and the image sensing device, in the form of an electric signal, and a digital apparatus equipped with the image input function, such as a digital camera, incorporating the imaging optical device. 
       BACKGROUND ART 
       [0002]    In recent years, along with the widespread use of personal computers, digital cameras capable of easily capturing images have been coming into widespread use. Along with it, there has been demand for more compact digital cameras, and this has naturally led to demand for more compact image sensing optical systems. On the other hand, a year-by-year increasing trend in number of pixels included in image sensing devices has led to demand for image sensing optical systems to have a high optical performance suitable for the increased number of pixels included in image sensing devices and demand for image sensing optical systems to be easy to fabricate to deal with a shorter product life cycle. 
         [0003]    Further, various high variable power zoom lens systems having a zoom ratio of over 10× have been proposed as image sensing optical systems for use in video cameras and digital cameras. To meet the demand for more compact and thinner cameras, progress has been being made in size reduction and slimming down of even high variable power zoom lens systems having a zoom ratio of over 10×, by using a technique such as sliding of a lens group, and there is also an expectation for more compact and thinner high variable power zoom lens systems having a zoom ratio of over 20×. To meet these demands, zoom lens systems of various types have been conventionally proposed. For example, Patent Literature 1 listed below proposes a zoom lens system having a zoom ratio of approximately 18× including five lens groups of positive, negative, positive, positive, and positive lens groups, Patent Literature 2 listed below proposes a zoom lens system having a zoom ratio of approximately 20× including four lens groups of positive, negative, positive, and positive lens groups, and Patent Literature 3 listed below proposes a zoom lens system having a zoom ratio of approximately 40× including four lens groups of positive, negative, positive, and positive lens groups. 
       CITATION LIST 
     Patent Literature 
       [0000]    
       
         Patent Literature 1: JP-A-2007-3554 
         Patent Literature 2: JP-A-2009-282439 
         Patent Literature 3: JP-A-2008-158062 
       
     
       SUMMARY OF INVENTION 
     Technical Problem 
       [0007]    To achieve size reduction and slimming down of high variable power zoom lens systems, it is necessary to reduce a lens-system moving amount in zooming and/or a lens-system thickness in an optical axis direction. With the zoom lens systems proposed in Patent Literatures 1 and 2, however, each having a large optical total length and a large thickness in the optical axis direction, neither size reduction nor slimming down can be effectively achieved. 
         [0008]    For zoom lens systems for digital cameras, angles of view (2ω) thereof have been being made wider to be as wide as about 75° to 80° at a wide angle side. In super high variable power zoom lens systems, however, since demand for higher variable power and demand for a wider angle of view are contradictory in some regards, no sufficiently effective effort has been made to achieve a wider angle of view. For example, the zoom lens systems proposed in Patent Literatures 1 and 2 each have a wide-angle-end angle of view of about 75° to 80°, and a zoom ratio of slightly smaller than 20×, and thus, neither the angle of view nor the variable power is sufficiently increased. The zoom lens system proposed in Patent Literature 3 has a zoom ratio of 40×, but its angle of view at the wide angle end is slightly smaller than 80°, which is not as wide as is desired. 
         [0009]    The invention has been made in view of the inconveniences discussed above, and an object of the invention is to provide a high-performance zoom lens system that has high variable power, with a zoom ratio of over 18×, and yet is compact and thin, and an imaging optical device and a digital apparatus that incorporate such a zoom lens system. Another object of the invention is to provide a high-performance zoom lens system that has super high variable power, with a zoom ratio of over 30×, and yet has an angle of view at the wide angle side that is as wide as 88° to 90°, and an imaging optical device and a digital apparatus that incorporate such a zoom lens system. 
       Solution to Problem 
       [0010]    To achieve the above objects, according to a first aspect of the invention, a zoom lens system includes, sequentially from an object side, a first lens group having a positive optical power, a second lens group having a negative optical power, a third lens group having a positive optical power, and a fourth lens group having a positive optical power. The zoom lens system achieves variable power by moving the first to fourth lens groups to change an inter-group distance between the lens groups. The third lens group includes two lens elements at least one of which has an aspherical surface. An object-side lens element of the third lens group is a cemented lens element including, sequentially from the object side, a positive lens element, a negative lens element, and a positive lens element. 
         [0011]    According to a second aspect of the invention, in the zoom lens system according to the first aspect of the invention described above, the third lens group satisfies the following conditional formula (A1): 
         [0000]      0.5 &lt;f 3/√( fw×ft )&lt;0.9  (A1)
 
         [0012]    where 
         [0013]    f3 represents a focal length of the third lens group, 
         [0014]    fw represents a focal length of a whole system at a wide angle end, and 
         [0015]    ft represents a focal length of the whole system at a telephoto end. 
         [0016]    According to a third aspect of the invention, in the zoom lens system according to the first or second aspect of the invention described above, the third lens group satisfies the following conditional formula (A2): 
         [0000]      0.3 &lt;CR 32 /f 3&lt;0.65  (A2)
 
         [0017]    where 
         [0018]    CR32 represents a radius of curvature of an image-side surface of the negative lens element included in the cemented lens element, and 
         [0019]    f3 represents the focal length of the third lens group. 
         [0020]    According to a fourth aspect of the invention, in the zoom lens system according to any one of the first to third aspects of the invention described above, of the positive lens elements included in the cemented lens element, one that is disposed closest to the object side has an aspherical surface, and a radius of curvature of the aspherical surface is larger than a reference radius of curvature by a larger value farther away from an optical axis. 
         [0021]    According to a fifth aspect of the invention, in the zoom lens system according to any one of the first to fourth aspects of the invention described above, the first lens group includes, sequentially from the object side, a cemented lens element including a negative lens element and a positive lens element, and a positive single lens element, and the first lens group satisfies the following conditional formulas (A3) and (A4): 
         [0000]      1.86 &lt;Nd 11&lt;2  (A3)
 
         [0000]      30 &lt;νd 11&lt;40  (A4)
 
         [0022]    where 
         [0023]    Nd11 represents a refractive index of the negative lens element included in the first lens group with respect to a d-line, and 
         [0024]    νd11 represents an Abbe number of the negative lens element included in the first lens group with respect to the d-line. 
         [0025]    According to a sixth aspect of the invention, in the zoom lens system according to any one of the first to fifth aspects of the invention described above, the following conditional formula (A5) is satisfied: 
         [0000]      0.3&lt;β4 t/β 4 w&lt; 0.7  (A5)
 
         [0026]    where 
         [0027]    β4t represents a lateral magnification of the fourth lens group at the telephoto end, and 
         [0028]    β4w represents a lateral magnification of the fourth lens group at the wide angle end. 
         [0029]    According to a seventh aspect of the invention, in the zoom lens system according to any one of the first to sixth aspects of the invention described above, the following conditional formula (A6) is satisfied: 
         [0000]      −10&lt;{( yw max− Y max)/ Y max}×100&lt;−25  (A6)
 
         [0030]    where 
         [0031]    ywmax represents a maximum real image height at the wide angle end, and 
         [0032]    Ymax represents a maximum ideal image height. 
         [0033]    According to an eighth aspect of the invention, a zoom lens system includes, sequentially from an object side, a first lens group having a positive optical power, a second lens group having a negative optical power, a third lens group having a positive optical power, and a fourth lens group having a positive optical power. The zoom lens system achieves variable power by moving the first to fourth lens groups to change an inter-group distance between the lens groups, and the zoom lens system satisfies the following conditional formulas (B1) to (B3): 
         [0000]      7&lt;β2 t/β 2 w&lt; 10  (B1)
 
         [0000]      5&lt;β3 t/β 3 w&lt; 12  (B2)
 
         [0000]      0.7&lt;(β2 t/β 2 w )/(β3 t/β 3 w )&lt;1.65  (B3)
 
         [0034]    where 
         [0035]    β2t represents a lateral magnification of the second lens group at a telephoto end, 
         [0036]    β2w represents a lateral magnification of the second lens group at a wide angle end, 
         [0037]    β3t represents a lateral magnification of the third lens group at the telephoto end, and 
         [0038]    β3w represents a lateral magnification of the third lens group at the wide angle end. 
         [0039]    According to a ninth aspect of the invention, in the zoom lens system according to the eighth aspect of the invention described above, the first lens group includes, sequentially from the object side, a cemented lens element including a negative lens element and a positive lens element, and a positive single lens element, and the following conditional formulas (B4) and (B5) are satisfied: 
         [0000]      1.86 &lt;Nd 11&lt;2  (B4)
 
         [0000]      30 &lt;νd 11&lt;40  (B5)
 
         [0040]    where 
         [0041]    Nd11 represents a refractive index of the negative lens element included in the first lens group with respect to a d-line, and 
         [0042]    νd11 represents an Abbe number of the negative lens element included in the first lens group with respect to the d-line. 
         [0043]    According to a tenth aspect of the invention, in the zoom lens system according to the eighth or ninth aspect of the invention described above, the following conditional formula (B6) is satisfied: 
         [0000]      0.3&lt;β4 t/β 4 w&lt; 0.7  (B6)
 
         [0044]    where 
         [0045]    β4t represents a lateral magnification of the fourth lens group at the telephoto end, and 
         [0046]    β4w represents a lateral magnification of the fourth lens group at the wide angle end. 
         [0047]    According to an eleventh aspect of the invention, in the zoom lens system according to any one of the eighth to tenth aspects of the invention described above, the following conditional formula (B7) is satisfied: 
         [0000]      −10&lt;{( yw max− Y max)/ Y max}×100&lt;−25  (B7)
 
         [0048]    where 
         [0049]    ywmax represents a maximum real image height at the wide angle end, and 
         [0050]    Ymax represents a maximum ideal image height. 
         [0051]    According to a twelfth aspect of the invention, in the zoom lens system according to any one of the eighth to eleventh aspects of the invention described above, in the third lens group, a surface that is located closest to the object side is formed of an aspherical surface. 
         [0052]    According to a thirteenth aspect of the invention, in the zoom lens system according to any one of the eighth to twelfth aspects of the invention described above, the second lens group includes, sequentially from the object side, a negative meniscus lens element having a convex surface facing toward the object side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element having a convex surface facing toward an image side. 
         [0053]    According to a fourteenth aspect of the invention, in the zoom lens system according to any one of the eighth to thirteenth aspects of the invention described above, the following conditional formula (B8) is satisfied: 
         [0000]      −0.3 &lt;m 3 /TLt&lt;− 0.2  (B8)
 
         [0054]    where 
         [0055]    m3 represents an absolute amount of movement of the third lens group in zooming from the wide angle end to the telephoto end (a minus sign indicates movement to the object side), and 
         [0056]    TLt represents an optical total length at the telephoto end. 
         [0057]    According to a fifteenth aspect of the invention, in the zoom lens system according to any one of the eighth to fourteenth aspects of the invention described above, the following conditional formula (B9) is satisfied: 
         [0000]      −0.25 &lt;m 4 /TLt&lt;− 0.1  (B9)
 
         [0058]    where 
         [0059]    m4 represents an absolute amount of movement of the fourth lens group in zooming from the wide angle end to the telephoto end (a minus sign indicates movement to the object side), and 
         [0060]    TLt represents the optical total length at the telephoto end. 
         [0061]    According to a sixteenth aspect of the invention, an imaging optical device includes a zoom lens system of any one of the first to fifteenth aspects of the invention described above, and an image sensing device that converts an optical image formed on a light receiving surface into an electric signal. The zoom lens system is arranged such that an optical image of a subject is formed on the light receiving surface of the image sensing device. 
         [0062]    According to a seventeenth aspect of the invention, a digital apparatus includes the imaging optical device of the sixteenth aspect of the invention described above so as to be additionally provided with at least one of a function of shooting a still image of the subject and a function of shooting a moving image of the subject. 
         [0063]    According to an eighteenth aspect of the invention, the digital apparatus according to the seventeenth aspect of the invention described above is one of a digital camera, a surveillance camera, and a portable terminal unit equipped with an image input function. 
       Advantageous Effects of Invention 
       [0064]    In the zoom lens system according to the invention, the third lens group includes two lens elements, and at least one of the two lens elements has an aspherical surface; an object-side one of the two lens elements in the third lens group is a cemented lens element including, sequentially from the object side, a positive lens element, a negative lens element, and a positive lens element. With this construction, it is possible to achieve size reduction, slimming down, and higher performance by reducing the lens movement amount in zooming and the thickness in an optical axis direction, while increasing the optical power to be exerted by the third lens group to obtain such a high variable power ratio that the zoom ratio is over 18×. Thus, it is possible to achieve an imaging optical device provided with a compact, high-performance zoom lens system of high variable power. And, by using the imaging optical device according to the invention in a digital apparatus such as a digital camera, it is possible to provide the digital apparatus additionally with a high-performance image input function in a compact manner. 
         [0065]    The zoom lens system according to the invention, which is a zoom lens system including four lens groups which are, sequentially from the object side, positive, negative, positive, and positive lens groups, is constructed such that shares of responsibility assigned to the second and third lens groups for achieving variable power satisfy a predetermined condition, and this makes it possible to increase the angle of view at the wide angle side to be as wide as 88° to 90° and achieve high optical performance, while achieving such super high variable power that the zoom ratio is over 30×. Thus, it is possible to achieve an imaging optical device provided with a compact, high-performance zoom lens system having a wide angle of view and capable of achieving super high variable power. And, by using the imaging optical device according to the invention in a digital apparatus such as a digital camera, it is possible to provide the digital apparatus additionally with a high-performance image input function in a compact manner. 
     
    
     
       BRIEF DESCRIPTION OF DRAWINGS 
         [0066]      FIG. 1  is a lens construction diagram of a first embodiment (Example 1); 
           [0067]      FIG. 2  is a lens construction diagram of a second embodiment (Example 2); 
           [0068]      FIG. 3  is a lens construction diagram of a third embodiment (Example 3); 
           [0069]      FIG. 4  is a lens construction diagram of a fourth embodiment (Example 4); 
           [0070]      FIG. 5  is a lens construction diagram of a fifth embodiment (Example 5); 
           [0071]      FIG. 6  is a lens construction diagram of a sixth embodiment (Example 6); 
           [0072]      FIG. 7  is a lens construction diagram of a seventh embodiment (Example 7); 
           [0073]      FIG. 8  is a lens construction diagram of an eighth embodiment (Example 8); 
           [0074]      FIG. 9  is a lens construction diagram of a ninth embodiment (Example 9); 
           [0075]      FIG. 10  is a lens construction diagram of a tenth embodiment (Example 10); 
           [0076]      FIGS. 11A to 11I  are aberration diagrams of Example 1; 
           [0077]      FIGS. 12A to 12I  are aberration diagrams of Example 2; 
           [0078]      FIGS. 13A to 13I  are aberration diagrams of Example 3; 
           [0079]      FIGS. 14A to 14I  are aberration diagrams of Example 4; 
           [0080]      FIGS. 15A to 15I  are aberration diagrams of Example 5; 
           [0081]      FIGS. 16A to 16I  are aberration diagrams of Example 6; 
           [0082]      FIGS. 17A to 17I  are aberration diagrams of Example 7; 
           [0083]      FIGS. 18A to 18I  are aberration diagrams of Example 8; 
           [0084]      FIGS. 19A to 19I  are aberration diagrams of Example 9; 
           [0085]      FIGS. 20A to 20I  are aberration diagrams of Example 10; and 
           [0086]      FIG. 21  is a schematic diagram showing an example of an outline of the construction of a digital apparatus incorporating an imaging optical device. 
       
    
    
     DESCRIPTION OF EMBODIMENTS 
       [0087]    Hereinafter, descriptions will be given of zoom lens systems, imaging optical devices, and digital apparatuses according to the invention, by classifying them into two types. A zoom lens system of a first type according to the invention includes, sequentially from the object side, a first lens group having a positive optical power, a second lens group having a negative optical power, a third lens group having a positive optical power, and a fourth lens group having a positive optical power. The zoom lens system achieves variable power by moving the first to fourth lens groups to change an inter-group distance between the lens groups. The third lens group includes two lens elements, at least one of which has an aspherical surface, and an object-side lens element of the third lens group is a cemented lens element including, sequentially from the object side, a positive lens element, a negative lens element, and a positive lens element (optical power is a quantity defined as a reciprocal of a focal length). 
         [0088]    A compact but high variable power zoom lens system is achieved typically by enhancing the optical power of each lens group included in the zoom lens system, but here, there is adopted a construction that allows enhancement of the optical power particularly of the third lens group. In a conventional zoom type including four positive, negative, positive, and positive lens groups, a main share of responsibility for achieving variable power is assigned to the second lens group, and in a case of achieving high variable power as well, the optical power of the second lens group is enhanced to achieve compactness and high variable power. In contrast, in the zoom lens system according to the invention, high variable power is achieved by assigning to the third lens group, which conventionally does not bear relatively much responsibility for achieving variable power, a larger share of responsibility for achieving variable power. In this case, it can be expected that the enhanced optical power of the third lens group will lead to excessively strong sensitivity to errors, which will increase a spherical aberration error between lens blocks, making the zoom lens system difficult to produce. To prevent this inconvenience, the lens blocks having strong sensitivity to errors are cemented together so that production difficulty is reduced, and in regard to design, more freedom is given to curvature, to make it possible for the third lens group to perform preferable aberration correction by making use of high-order aberration generated at the cemented surfaces. 
         [0089]    With this characteristic construction, it is possible to achieve a high-performance zoom lens system that, despite having high variable power, with a zoom ratio of over 18×, is made compact and thin by reducing the lens movement amount in zooming and the lens thickness in an optical axis direction, and an imaging optical device provided therewith. Furthermore, since the imaging optical device is made light weight and compact, by using the imaging optical device in a digital apparatus such as a digital camera or a portable information terminal unit, it is possible to provide the digital apparatus additionally with a high-performance image input function in a light-weight and compact manner. Thus, the characteristic construction contributes to, for example, reduction in size and cost of, and improvement in performance and functionality of, digital apparatuses. Hereinafter, descriptions will be given of conditions and the like for obtaining these advantages in a well-balanced manner, and for achieving higher optical performance, further compactness, and the like. 
         [0090]    In view of achieving a high variable power zoom lens system that is compact and yet holds high optical performance, a zoom ratio of 18× to 38× is preferable. An attempt to obtain a high zoom ratio of approximately 18× to 38× usually makes it difficult to achieve size reduction and improvement in performance of zoom lens systems, but according to the above-described characteristic construction regarding the cemented lens element of the third lens group and the like, it is possible to obtain a high zoom ratio while achieving size reduction and improvement in performance, and so on. This makes it possible to achieve high variable power while achieving both compactness and high performance 
         [0091]    It is preferable that the third lens group satisfy the following conditional formula (A1): 
         [0000]      0.5 &lt;f 3/√( fw×ft )&lt;0.9  (A1)
 
         [0092]    where 
         [0093]    f3 represents a focal length of the third lens group, 
         [0094]    fw represents a focal length of a whole system at a wide angle end, and 
         [0095]    ft represents a focal length of the whole system at a telephoto end. 
         [0096]    The conditional formula (A1) defines a preferable focal length of the third lens group, and when the conditional formula (A1) is satisfied, the third lens group has a comparatively strong refractive power. If an upper limit of the conditional formula (A1) is exceeded, the focal length of the third lens group becomes too long, and thus the share of responsibility for achieving variable power assigned to the third lens group decreases, which is not desirable in view of achieving compactness. Besides, in order to effectively achieve size reduction despite the long focal length of the third lens group, it is necessary for the second lens group to bear a larger share of responsibility for achieving variable power. If the refractive power of the second lens group is increased to meet such a requirement, it might invite increase in astigmatism and in field curvature. On the other hand, if a lower limit of the conditional formula (A1) is fallen short of, the focal length of the third lens group becomes too short, and this makes it difficult to correct aberration, particularly spherical aberration, generated in the third lens group within the third lens group. 
         [0097]    It is preferable that the third lens group satisfy the following conditional formula (A2): 
         [0000]      0.3 &lt;CR 32 /f 3&lt;0.65  (A2)
 
         [0098]    where 
         [0099]    CR32 represents a radius of curvature of an image-side surface of the negative lens element included in the cemented lens element, and 
         [0100]    f3 represents the focal length of the third lens group. 
         [0101]    The conditional formula (A2) relates to the negative lens element included in the cemented lens element in the third lens group, and the conditional formula (A2) defines a preferable radius of curvature of the image-side surface of the negative lens element. The image-side surface of the negative lens element has a curvature such that the surface faces toward the image side as a strongly concave surface, and by generating high-order aberration at the strongly concave surface that satisfies the conditional formula (A2), it is possible to perform preferable aberration correction within the third lens group in a preferable manner. This is particularly effective in correcting coma aberration. The amount of coma aberration tends to be larger where the conditional formula (A2) is not satisfied, and specifically, if a lower limit of the conditional formula (A2) is fallen short of, it becomes difficult to correct coma aberration, while it becomes difficult to correct astigmatism if an upper limit of the conditional formula (A2) is exceeded. 
         [0102]    As already mentioned, the third lens group has a cemented lens element including positive, negative, and positive lens elements, and it is preferable that one of the positive lens elements that is disposed closest to the object side have an aspherical surface, and that the radius of curvature of the aspherical surface is larger than a reference radius of curvature by a larger value farther away from the optical axis. The third lens group has a strong positive refractive power, and the major positive refractive power is generated by the above-mentioned positive lens element that is disposed closest to the object side. In this construction, strong positive optical power causes a strong undercorrected spherical aberration to be generated, but such spherical aberration can be corrected by the aspherical surface whose radius of curvature is larger than the reference radius of curvature by a larger value farther away from the optical axis. 
         [0103]    It is preferable that the first lens group include, sequentially from the object side, a cemented lens element including a negative lens element and a positive lens element, and a positive single lens element, and that the first lens group satisfy the following conditional formulas (A3) and (A4): 
         [0000]      1.86 &lt;Nd 11&lt;2  (A3)
 
         [0000]      30 &lt;νd 11&lt;40  (A4)
 
         [0104]    where 
         [0105]    Nd11 represents a refractive index of the negative lens element included in the first lens group with respect to a d-line, and 
         [0106]    νd11 represents an Abbe number of the negative lens element included in the first lens group with respect to the d-line. 
         [0107]    In a high variable power zoom lens system, correction of chromatic aberration at the telephoto side is difficult, and it is particularly necessary to reduce chromatic aberration generated in the first lens group. In particular, second spectrum increases, and thus, typically, a lens element having an anomalous dispersion characteristic is often used as a positive lens element of the first lens group to achieve the reduction. Also, the negative lens element needs to have a strong refractive power to achieve a compact zoom lens system, but a strong refractive power leads to a large curvature, allowing strong coma aberration and/or strong astigmatism to be generated. Thus, it is necessary that the negative lens element have a high refractive index so as not to invite increase in the curvature, but unfortunately, glass materials having a refractive index of over 1.85 are usually characterized by having an anomalous dispersion characteristic on the plus side, and thus, even if an anomalous dispersion lens element is used as a positive lens element, it is difficult to correct secondary spectrum. 
         [0108]    By selecting a glass material that satisfies the conditional formulas (A3) and (A4), it is possible to select a glass material that has a low anomalous dispersion characteristic and a strong refractive power. If a lower limit of the conditional formula (A3) is fallen short of, the refractive power becomes too weak, and this leads to an undesirably large optical system. An attempt to maintain the optical power at the same level will lead to a large curvature, causing large spherical aberration that is difficult to correct. If an upper limit of the conditional formula (A3) is exceeded, the refractive power of the surface becomes strong, and in particular, sensitivity to manufacturing errors of aspherical waves becomes strong, making it disadvantageously difficult to produce the zoom lens system. If an upper limit of the conditional formula (A4) is exceeded, dispersion values become too large, and it becomes difficult to correct chromatic aberration. If a lower limit of the conditional formula (A4) is fallen short of, it means that a glass material having a high anomalous dispersion characteristic is selected, and thus it is difficult to correct chromatic aberration. 
         [0109]    It is preferable that the present zoom lens system adopt one anomalous dispersion lens element as the positive lens element of the first lens group, so as to reduce secondary spectrum. In an area, to which the present optical system belongs, where an optical system at the telephoto end functions as a so-called super-telephoto lens system, correction of secondary spectrum is a problem to be dealt with, and in some cases, a plurality of anomalous dispersion lens elements are used, or, a lens element having a very high anomalous dispersion characteristic, such as a fluorite lens element, is used. The point of this correction is the correction of chromatic aberration on the negative lens element side, and selected as the negative lens element is one that is made of a glass material belonging to an area of small Abbe numbers. With a typically used optical glass material, which has a high positive anomalous dispersion, if it has a small Abbe number, the effect of the anomalous dispersion used in the positive lens element is cancelled, so that the secondary spectrum is corrected only insufficiently. Thus, it can be said to be preferable that the conditional formulas (A3) and (A4) be satisfied. 
         [0110]    It is preferable that the following conditional formula (A5) be satisfied: 
         [0000]      0.3&lt;β4 t/β 4 w&lt; 0.7  (A5)
 
         [0111]    where 
         [0112]    β4t represents a lateral magnification of the fourth lens group at the telephoto end, and 
         [0113]    β4w represents a lateral magnification of the fourth lens group at the wide angle end. 
         [0114]    The conditional formula (A5) defines a preferable lateral magnification ratio of the fourth lens group between at the telephoto end and at the wide angle end, and the optical total length at the telephoto side is able to be effectively reduced by satisfying the conditional formula (A5). The present optical system, having the small optical total length at the telephoto side despite having a zoom ratio of over 18×, contributes to achieving a compact lens barrel and a compact camera. If simply the optical total length at the telephoto side is reduced, it leads to total increase in the optical power of each of the lens groups, which makes it difficult to correct aberration; in contrast, if the lateral magnification of the fourth lens group at the telephoto end is made comparatively small so as to satisfy the conditional formula (A5), it is possible to reduce the optical total length. 
         [0115]    If an upper limit of the conditional formula (A5) is exceeded, a combined focal length of the first to third lens groups becomes short, which makes it difficult to correct aberration, above all, field curvature. If a lower limit of the conditional formula (A5) is fallen short of, the optical total length increases, which is not preferable from the viewpoint of achieving compactness. Furthermore, if the lower limit of the conditional formula (A5) is fallen short of, need arises to increase the refractive power of the second lens group, which may in turn increase astigmatism, and need arises to increase the refractive power of the third lens group, which may in turn increase spherical aberration. 
         [0116]    It is preferable that the following conditional formula (A6) be satisfied: 
         [0000]      −10&lt;{( yw max− Y max)/ Y max}×100&lt;−25  (A6)
 
         [0117]    where 
         [0118]    ywmax represents a maximum real image height at the wide angle end, and 
         [0119]    Ymax represents a maximum ideal image height. 
         [0120]    The conditional formula (A6) defines a distortion ratio at the wide angle end. 
         [0121]    Allowing distortion in the range of the conditional formula (A6) to be generated at the wide angle end is effective particularly to reduce an external diameter of the first lens group. The generated distortion is able to be corrected by electronic means such that the distortion ratio is reduced to a level that does not cause any trouble. If an upper limit of the conditional formula (A6) is exceeded, the distortion ratio becomes so large that it causes an excessively large interpolation error in correcting the distortion by using the electronic means, which unpreferably leads to degradation of performance. If the lower limit of the conditional formula (A6) is fallen short of, the ratio of the generated distortion is low, which leads to a larger external diameter of the first lens group, and as a result, the entire size of a camera incorporating the optical system becomes larger, which is not preferable in terms of compactness. 
         [0122]    A construction where a stop is positioned on the object side of the third lens group in the zoom type including the positive, negative, positive, and positive lens groups is strongly asymmetric at the wide angle end, and this leads to generation of a strong negative distortion. The distortion is generated mainly in the second lens group, and it is to be corrected mainly in the first and third lens groups. By generating a correcting effect in a lens element of the third lens group that is located closest to the image, it is possible to correct the distortion in the third lens group, although not very much effectively, because the third lens group is located close to a stop surface. In such a construction, spherical aberration is generated, but by correcting the distortion to be within the range defined by the conditional formula (A6), it becomes possible to preferably correct the spherical aberration within the third lens group. 
         [0123]    Next, a description will be given of a zoom lens system of a second type according to the invention. The zoom lens system of the second type according to the invention includes, sequentially from the object side, a first lens group having a positive optical power, a second lens group having a negative optical power, a third lens group having a positive optical power, and a fourth lens group having a positive optical power. The zoom lens system achieves variable power by moving the first to fourth lens groups to change an inter-group distance between the lens groups, and the zoom lens system satisfies the following conditional formulas (B1) to (B3) (optical power is an amount defined by the inverse of a focal length): 
         [0000]      7&lt;β2 t/β 2 w&lt; 10  (B1)
 
         [0000]      5&lt;β3 t/β 3 w&lt; 12  (B2)
 
         [0000]      0.7&lt;(β2 t/β 2 w )/(β3 t/β 3 w )&lt;1.65  (B3)
 
         [0124]    where 
         [0125]    β2t represents a lateral magnification of the second lens group at the telephoto end, 
         [0126]    β2w represents a lateral magnification of the second lens group at the wide angle end, 
         [0127]    β3t represents a lateral magnification of the third lens group at the telephoto end, and 
         [0128]    β3w represents a lateral magnification of the third lens group at the wide angle end. 
         [0129]    In high variable power zoom lens systems each including four positive, negative, positive, and positive lens groups, it is typical that the second lens group bears a main share of responsibility for achieving variable power while the third lens group is hardly, or only auxiliary, responsible for achieving variable power. Here, by assigning to the third lens group a large share of responsibility for exerting a variable-power function, it is possible to reduce variation in aberration occurring along with achievement of high variable power, and thus to achieve size reduction and improvement in performance. 
         [0130]    The conditional formula (B1) defines a lateral magnification ratio of the second lens group between at the telephoto end and at the wide angle end. If an upper limit of the conditional formula (B1) is exceeded, the second lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct coma aberration generated in the second lens group. If a lower limit of the conditional formula (B1) is fallen short of, the third lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct spherical aberration generated in the third lens group. 
         [0131]    The conditional formula (B2) defines a lateral magnification ratio of the third lens group between at the telephoto end and at the wide angle end. If an upper limit of the conditional formula (B2) is exceeded, the third lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct spherical aberration generated in the third lens group. If a lower limit of the conditional formula (B2) is fallen short of, the second lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct coma aberration generated in the second lens group. 
         [0132]    The conditional formula (B3) defines a ratio between shares of responsibility for achieving variable power assigned to the second lens group and the third lens group. If an upper limit of the conditional formula (B3) is exceeded, the second lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct coma aberration generated in the second lens group. If a lower limit of the conditional formula (B3) is fallen short of, the third lens group is forced to bear too much responsibility for achieving variable power, which makes it difficult to correct spherical aberration generated in the third lens group. 
         [0133]    According to the characteristic construction described above, it is possible to achieve a compact, high-performance, and super high variable power zoom lens system that has a zoom ratio of over 30× and yet has a wide-angle-side angle of view that is as wide as 88° to 90°, and an imaging optical device provided with such a zoom lens system. Furthermore, since the imaging optical device is made light weight and compact, by using the imaging optical device in a digital apparatus such as a digital camera or a portable information terminal unit, it is possible to provide the digital apparatus additionally with a high-performance image input function in a light-weight and compact manner. Thus, the characteristic construction contributes to, for example, reduction in size and cost of, and improvement in performance and functionality of, digital apparatuses. Hereinafter, descriptions will be given of conditions and the like for obtaining these advantages in a well-balanced manner, and for achieving higher optical performance, more compactness, and the like. 
         [0134]    In view of achieving a compact, high variable power zoom lens system that has a wide angle of view and yet holds high optical performance, a zoom ratio of 30× to 38× is preferable. An attempt to obtain a high zoom ratio of approximately 30× to 38× usually makes it difficult to achieve size reduction, increase in angle of view, and improvement in performance of zoom lens systems, but according to the above-described characteristic construction where the shares of responsibility for achieving variable power assigned to the second and third lens groups satisfy the predetermined condition, it is possible to obtain a high zoom ratio while achieving size reduction, increase in angle of view, and improvement in performance. This makes it possible to achieve a wider angle of view along with higher variable power while achieving both compactness and high performance 
         [0135]    It is preferable that the first lens group include, sequentially from the object side, a cemented lens element including a negative lens element and a positive lens element, and a positive single lens element, and that the first lens group satisfy the following conditional formulas (B4) and (B5): 
         [0000]      1.86 &lt;Nd 11&lt;2  (B4)
 
         [0000]      30 &lt;νd 11&lt;40  (B5)
 
         [0136]    where 
         [0137]    Nd11 represents a refractive index of the negative lens element included in the first lens group with respect to a d-line, and 
         [0138]    νd11 represents an Abbe number of the negative lens element included in the first lens group with respect to the d-line. 
         [0139]    In a high variable power zoom lens system, correction of chromatic aberration at the telephoto side is difficult, and it is necessary, in particular, to reduce chromatic aberration generated in the first lens group. Particularly second spectrum increases, and thus, typically, a lens element having an anomalous dispersion characteristic is often used as a positive lens element of the first lens group to achieve the reduction. Also, the negative lens element needs to have a strong refractive power to achieve a compact zoom lens system, but a strong refractive power leads to a large curvature, allowing strong coma aberration and/or strong astigmatism to be generated. Thus, it is necessary that the negative lens element have a high refractive index so as not to invite increase in the curvature, but unfortunately, glass materials having a refractive index of over 1.85 are usually characterized by having an anomalous dispersion characteristic on a plus side, and thus, even if an anomalous dispersion lens element is used as a positive lens element, it is difficult to correct secondary spectrum. 
         [0140]    By selecting a glass material that satisfies the conditional formulas (B4) and (B5), it is possible to select a glass material that has a low anomalous dispersion characteristic and a strong refractive power. If a lower limit of the conditional formula (B4) is fallen short of, the refractive power becomes too weak, and this leads to an unpreferably large optical system. An attempt to maintain the optical power at the same level will lead to a large curvature, to cause large spherical aberration, which is difficult to correct. If an upper limit of the conditional formula (B4) is exceeded, surface refractive power becomes strong, and in particular, sensitivity to manufacturing errors of an aspherical wave becomes strong, making it disadvantageously difficult to produce the zoom lens system. If an upper limit of the conditional formula (B5) is exceeded, it leads to a too large dispersion value, and it becomes difficult to correct chromatic aberration. If a lower limit of the conditional formula (B5) is fallen short of, it means that a glass material having a high anomalous dispersion characteristic is selected, and thus it becomes difficult to correct chromatic aberration. 
         [0141]    It is preferable that the present zoom lens system adopt one anomalous dispersion lens element as the positive lens element of the first lens group, so as to reduce secondary spectrum. In an area, to which the present optical system belongs, where an optical system at the telephoto end functions as a so-called super-telephoto lens system, correction of secondary spectrum is a problem to be dealt with, and in some cases, a plurality of anomalous dispersion lens elements are used, or, a lens element having a very high anomalous dispersion characteristic, such as a fluorite lens element, is used. The point of this correction is the correction of chromatic aberration on the negative lens element side, and selected as the negative lens element is one that is made of a glass material belonging to an area of small Abbe numbers. With a typically used optical glass material, which has a high positive anomalous dispersion, if it has a small Abbe number, the effect of the anomalous dispersion used in the positive lens element is cancelled, so that the secondary spectrum is corrected only insufficiently. Thus, it can be said to be preferable that the conditional formulas (B4) and (B5) be satisfied. 
         [0142]    It is preferable that the following conditional formula (B6) be satisfied: 
         [0000]      0.3&lt;β4 t/β 4 w&lt; 0.7  (B6)
 
         [0143]    where 
         [0144]    β4t represents a lateral magnification of the fourth lens group at the telephoto end, and 
         [0145]    β4w represents a lateral magnification of the fourth lens group at the wide angle end. 
         [0146]    The conditional formula (B6) defines a preferable lateral magnification ratio of the fourth lens group between at the telephoto end and at the wide angle end. To reduce the optical total length at the telephoto side, it is effective to satisfy the conditional formula (B6). The present optical system, having the small optical total length at the telephoto side despite having a zoom ratio of over 30×, contributes to achieving a compact lens barrel and a compact camera. If simply the optical total length at the telephoto end is reduced, it leads to total increase in the optical power of each of the lens groups, which makes it difficult to correct aberration; in contrast, if the lateral magnification of the fourth lens group at the telephoto end is made comparatively small so as to satisfy the conditional formula (B6), it is possible to reduce the optical total length. 
         [0147]    If an upper limit of the conditional formula (B6) is exceeded, the combined focal length of the first to third lens groups becomes short, which makes it difficult to correct aberration, above all, field curvature. If a lower limit of the conditional formula (B6) is fallen short of, the optical total length is increased, which is not preferable from the viewpoint of achieving compactness. Furthermore, if the lower limit of the conditional formula (B6) is fallen short of, need arises to increase the refractive power of the second lens group, which may in turn increase astigmatism, and need arises to increase the refractive power of the third lens group, which may in turn increase spherical aberration. 
         [0148]    It is preferable that the following conditional formula (B7) be satisfied: 
         [0000]      −10&lt;{( yw max− Y max)/ Y max}×100&lt;−25  (B7)
 
         [0000]    where 
         [0149]    ywmax represents the maximum real image height at the wide angle end, and 
         [0150]    Ymax represents the maximum ideal image height. 
         [0151]    The conditional formula (B7) defines a distortion ratio at the wide angle end. Allowing distortion in the range of the conditional formula (B7) to be generated at the wide angle end is effective particularly to reduce an external diameter of the first lens group. The generated distortion is able to be corrected by electronic means such that the distortion ratio is reduced to a level that does not cause any trouble. If an upper limit of the conditional formula (B7) is exceeded, the distortion ratio becomes so large that it causes an excessively large interpolation error in correcting the distortion by using the electronic means, which unpreferably leads to degradation of performance. If the lower limit of the conditional formula (B7) is fallen short of, the ratio of the generated distortion is low, which leads to a larger external diameter of the first lens group, and as a result, the entire size of a camera incorporating the optical system becomes larger, which is not preferable in terms of compactness. 
         [0152]    A construction where a stop is positioned on the object side of the third lens group in the zoom type including the positive, negative, positive, and positive lens groups is strongly asymmetric at the wide angle end, and this leads to generation of a strong negative distortion. The distortion is generated mainly in the second lens group, and it is to be corrected mainly in the first and third lens groups. By generating a correcting effect in a lens element of the third lens group that is located closest to the image, it is possible to correct the distortion in the third lens group, although not very much effectively, because the third lens group is located close to a stop surface. In such a construction, spherical aberration is generated, but by correcting the distortion to be within the range defined by the conditional formula (B7), it becomes possible to preferably correct the spherical aberration within the third lens group. Note that, although an attempt to achieve a high variable ratio causes distortion aberration to be generated mainly in the second lens group, since a slightly larger share of responsibility for achieving variable power is assigned to the third lens group while a slightly smaller share of responsibility for achieving variable power is assigned to the second lens group according to the conditional formulas (B1) to (B3), as long as within the range of the conditional formula (B7), it is possible to correct, in a well-balanced manner, the distortion aberration generated in the second lens group in the first and third lens groups. 
         [0153]    It is desirable that a surface of the third lens group that is located closest to the object side be formed of an aspherical surface. To assign a larger share of responsibility for achieving variable power to the third lens group than in the conventional construction, it is necessary to sufficiently correct spherical aberration in the third lens group. Thus, it is desirable that the lens element of the third lens group that is located closest to the object side have an aspherical surface. The third lens group has a strong positive refractive power, and mainly a lens surface that is disposed closest to the object side is responsible for the positive refractive power. By using an aspherical surface in the lens element located closest to the object side and having the surface with a strong refractive power, it is possible to effectively correct spherical aberration. 
         [0154]    It is preferable that the second lens group include, sequentially from the object side, a negative meniscus lens element having a convex surface facing toward the object side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element having a convex surface facing toward an image side. Generally, a construction where a biconcave lens element and a biconvex lens element are not cemented together but used as two separate single lens elements is more effective in terms of aberration correction than using a cemented lens element made by cementing biconcave and biconvex lens elements together. Unfortunately, however, with an air gap between the biconcave lens element and the biconvex lens element, an error in the interval of the air gap has a great influence on the generation of spherical aberration, which gives rise to difficulty in production. It is possible to achieve a construction with an error of such a level that causes no problem in production, by constructing the second lens group with, as described above, sequentially from the object side, a negative meniscus lens element having a convex surface facing toward the object side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element having a convex surface facing toward the image side. 
         [0155]    It is preferable that the following conditional formula (B8) be satisfied: 
         [0000]      −0.3 &lt;m 3 /TLt&lt;− 0.2  (B8)
 
         [0156]    where 
         [0157]    m3 represents an absolute amount of movement of the third lens group in zooming from the wide angle end to the telephoto end (a minus sign indicates movement to the object side), and 
         [0158]    TLt represents the optical total length at the telephoto end. 
         [0159]    If an upper limit of the conditional formula (B8) is exceeded, the amount of movement of the third lens group is reduced, making it difficult for the third lens group to fulfill its share of responsibility for achieving variable power. This results in a larger share of responsibility for achieving variable power to be assigned to the second lens group, which is disadvantageous in terms of aberration correction and makes it difficult to correct astigmatism and field curvature. On the other hand, if the lower limit of the conditional formula (B8) is fallen short of, the amount of movement of the third lens group is increased to increase the optical total length at the telephoto end, which is disadvantageous to compactness. An effort to effectively achieve compactness in spite of the increased amount of movement of the third lens group requires the second lens group to bear an increased share of responsibility for achieving variable power. If the refractive power of the second lens group is increased to meet the requirement, it may in turn increase spherical aberration. 
         [0160]    It is preferable that the following conditional formula (B9) be satisfied: 
         [0000]      −0.25 &lt;m 4 /TLt&lt;− 0.1  (B9)
 
         [0161]    where 
         [0162]    m4 represents an absolute amount of movement of the fourth lens group in zooming from the wide angle end to the telephoto end (a minus sign indicates movement to the object side), and 
         [0163]    TLt represents the optical total length at the telephoto end. 
         [0164]    If an upper limit of the conditional formula (B9) is exceeded, the amount of movement of the fourth lens group is reduced, and thus difference in lateral magnification between at the wide angle end and at the telephoto end is reduced. As a result, the combined focal length of the first to third lens groups becomes short, which makes it difficult to correct aberration at the telephoto side, and correction of field curvature becomes difficult. On the other hand, if a lower limit of the conditional formula (B9) is fallen short of, the amount of movement of the fourth lens group is increased to increase the optical total length at the telephoto end, which is disadvantageous to compactness. 
         [0165]    The above-described zoom lens systems of the first and second types are suitably usable as an imaging lens system for a digital apparatus (such as a digital camera) equipped with an image input function, and by combining the zoom lens systems with an image sensing device or the like, it is possible to construct an imaging optical device that optically takes in an image of a subject and outputs it in the form of an electrical signal. The imaging optical device is an optical device that constitutes a main component of a camera used for shooting a still or moving image of a subject, and the imaging optical device is constructed by being provided with, for example, sequentially from the object (that is, the subject) side, a zoom lens system that forms the optical image of the object, and an image sensing device that converts the optical image formed by the zoom lens system into an electric signal. And, by arranging the zoom lens system having the above-described characteristic construction such that the optical image of the subject is formed on the light receiving surface (that is, the image sensing surface) of the image sensing device, it is possible to realize a low-cost, high-performance, and compact high variable-power imaging optical device and a digital apparatus (for example, a digital camera, a mobile phone) incorporating the imaging optical device. 
         [0166]    Examples of the camera include a digital camera, a video camera, a surveillance camera, an on-vehicle camera, a videophone camera, and so on, and also, cameras of a type that is built in, or externally connected to, a personal computer, a digital apparatus (for example, a compact and portable information apparatus terminal such as a mobile phone and a mobile computer), a peripheral apparatus thereof (a scanner, a printer, and the like), any other type of digital apparatus, and the like. As is clear from these examples, it is possible not only to design a camera with the imaging optical device but also to add a camera function to various apparatuses by incorporating the imaging optical device in those apparatuses. For example, it is possible to design a digital apparatus having the image input function such as a camera phone. 
         [0167]      FIG. 21  shows, in a schematic sectional view, an example of an outline of the construction of a digital apparatus DU having an image input function. An imaging optical device LU incorporated in the digital apparatus DU shown in  FIG. 21  includes, sequentially from the object (that is, the subject) side, a zoom lens system ZL (AX denotes an optical axis, and ST denotes a stop) that forms an optical image (image plane) IM of an object at variable power, a plane parallel plate PT (which corresponds to a cover glass of an image sensing device SR, an optical filter such as an optical low-pass filter or an infrared cutoff filter provided as necessary, or the like), and the image sensing device SR that converts the optical image IM formed on a light receiving surface SS by the zoom lens system ZL into an electric signal. In the case where the digital apparatus DU having the image input function is formed by using the imaging optical device LU, the imaging optical device LU is typically disposed inside a body of the digital apparatus DU, while in the case of realizing the camera function in various apparatuses, any form may be adopted as necessary. For example, a construction is possible in which the imaging optical device LU is formed as a unit so that it is mountable to/demountable from a main body of the digital apparatus DU or pivotable with respect thereto. 
         [0168]    As the image sensing device SR, for example, there is adopted a solid-state image sensing device such as a CCD type image sensor or a CMOS type image sensor, which has a plurality of pixels. The zoom lens system ZL is arranged such that the optical image IM of the subject is formed on the light receiving surface SS, which is a photoelectric conversion portion of the image sensing device SR, and thus, the optical image IM formed by the zoom lens system ZL is converted into an electric signal by the image sensing device SR. 
         [0169]    In addition to the imaging optical device LU, the digital apparatus DU includes a signal processing portion  1 , a control portion  2 , a memory  3 , an operation portion  4 , a display portion  5 , and so on. A signal generated at the image sensing device SR is transmitted to the signal processing portion  1 , where the signal is subjected to predetermined processing such as digital image processing and image compression processing, as necessary. Then, the signal is recorded as a digital image signal in the memory  3  (a semiconductor memory, an optical disc, or the like), or in some cases, the signal is transmitted to another apparatus via a cable or by being converted into, for example, an infrared signal (as in, for example, a communication function of a mobile phone). The control portion  2  includes a microcomputer, and centrally performs the following controls: control of functions such as a shooting function (for example, a still image shooting function, a moving image shooting function) and an image viewing function, control of a lens moving mechanism for zooming or focusing, and the like. For example, the control portion  2  controls the imaging optical device LU to perform at least one of still image shooting and moving image shooting of the subject. The display portion  5  includes a display such as a liquid crystal monitor, and displays images by using image signals obtained through conversion by the image sensing device SR or by using image information recorded in the memory  3 . The operation portion  4  includes an operation member such as an operation button (for example, a release button) and/or an operation dial (for example, a shooting mode dial), and transmits to the control portion  2  information that an operator has inputted by operating the operation member. 
         [0170]    The zoom lens system ZL has, as described above, the four-group zoom construction including the four positive, negative, positive, and positive lens groups, where the first to fourth lens groups each move along the optical axis AX to change an inter-group distance between the lens groups to thereby achieve variable power (that is, zooming), and the optical image  1 M is formed on the light receiving surface SS of the image sensing device SR. Note that, in the later-described embodiments ( FIG. 1  to  FIG. 10 ), as zoom lens groups, the first to fourth lens group Gr 1  to Gr 4  function as moving lens groups, and in a five-group zoom lens system, a fifth lens group Gr 5  functions as a stationary lens group. 
         [0171]    Next, dealing with first to tenth embodiments, a further detailed description will be given of the specific optical construction of the zoom lens system ZL.  FIGS. 1 to 10  are lens construction diagrams corresponding to zoom lens systems ZL included in the first to tenth embodiments, respectively, each showing a lens arrangement at the wide angle end (W) in optical section. In each of the lens construction diagrams, axial inter-surface distances denoted by di (i=1, 2, 3, . . . ) are, among i-th axial inter-surface distances counted from the object side, axial inter-surface distances that are variable in zooming. In each of the lens construction diagrams, arrows m 1 , m 2 , m 3 , and m 4  schematically indicate movement of the first lens group Gr 1 , the second lens group Gr 2 , the third lens group Gr 3 , and the fourth lens group Gr 4 , respectively, in zooming from the wide angle end (W) to the telephoto end (T). Besides, an arrow m 5  illustrated closest to the image plane  1 M indicates that the fifth lens group Gr 5  and the plane parallel plate PT are stationary in zooming, and an arrow mP illustrated closest to the image plane IM indicates that the plane parallel plate PT is stationary in zooming. 
         [0172]    In the first embodiment ( FIG. 1 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a positive meniscus lens element convex to the object side, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a biconcave negative lens element, and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element (having an aspherical surface on the image side). A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element L 31  (a first lens element) including a positive meniscus lens element (having an aspherical surface on the object side) convex to the object side, a negative meniscus lens element concave to the image side, and a biconvex positive lens element, and a negative meniscus lens element (having an aspherical surface on each side) L 32  (a second lens element) concave to the object side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a biconvex positive lens element (having an aspherical surface on each side). 
         [0173]    In the second embodiment ( FIG. 2 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element concave to the image side and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element L 31  (a first lens element) including a positive meniscus lens element (having an aspherical surface on the object side) convex to the object side, a negative meniscus lens element concave to the image side, and a positive meniscus lens element convex to the object side, and a positive meniscus lens element (having an aspherical surface on each side) L 32  (a second lens element) convex to the image side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. 
         [0174]    In the third embodiment ( FIG. 3 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element concave to the image side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element (having an aspherical surface on each side) concave to the object side. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element L 31  (a first lens element) including a biconvex positive lens element (having an aspherical surface on the object side), a biconcave negative lens element, and a positive meniscus lens element convex to the object side, and a positive meniscus lens element (having an aspherical surface on each side) L 32  (a second lens element) convex to the object side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. 
         [0175]    In the fourth embodiment ( FIG. 4 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a biconcave negative lens element, and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element (having an aspherical surface on the image side). A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element L 31  (a first lens element) including a biconvex positive lens element (having an aspherical surface on the object side), a biconcave negative lens element, and a positive meniscus lens element convex to the object side, and a biconvex positive lens element (having an aspherical surface on each side) L 32  (a second lens element). A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. 
         [0176]    In the fifth embodiment ( FIG. 5 ), in a four-group zoom construction including positive, negative, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a positive meniscus lens element convex to the object side, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element concave to the image side and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element L 31  (a first lens element) including a positive meniscus lens element (having an aspherical surface on the object side) convex to the object side, a negative meniscus lens element concave to the image side, and a positive meniscus lens element convex to the object side, and a biconvex positive lens element (having an aspherical surface on each side) L 32  (a second lens element). A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. 
         [0177]    In the sixth embodiment ( FIG. 6 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a biconcave negative lens element, and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element (having an aspherical surface on the image side). A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element including a biconvex positive lens element (having an aspherical surface on the object side), a biconcave negative lens element, and a positive meniscus lens element convex to the object side, and a biconvex positive lens element (having an aspherical surface on each side). A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a biconvex positive lens element (having an aspherical surface on each side). 
         [0178]    In the seventh embodiment ( FIG. 7 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element concave to the image side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element (having an aspherical surface on each side) concave to the object side. That is, the second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element having a convex surface facing toward the object side, a cemented lens element including a biconcave negative lens element and a biconvex positive lens element, and a negative meniscus lens element having a convex surface facing toward the image side. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element including a biconvex positive lens element (having an aspherical surface on the object side), a biconcave negative lens element, and a positive meniscus lens element convex to the object side, and a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. 
         [0179]    In the eighth embodiment ( FIG. 8 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a negative meniscus lens element concave to the image side, a biconcave negative lens element (having an aspherical surface on each side), and a biconvex positive lens element. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a biconvex positive lens element (having an aspherical surface on each side), a negative meniscus lens element concave to the image side, and a cemented lens element including a negative meniscus lens element concave to the image side and a positive meniscus lens element convex to the object side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the image side. 
         [0180]    In the ninth embodiment ( FIG. 9 ), in a five-group zoom construction including positive, negative, positive, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a biconcave negative lens element, and a cemented lens element including a biconcave negative lens element (having an aspherical surface on the object side) and a biconvex positive lens element. A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element including a biconvex positive lens element (having an aspherical surface on the object side) and a biconcave negative lens element, and a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element (having an aspherical surface on the image side). A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. A fifth lens group Gr 5  includes only a positive meniscus lens element (having an aspherical surface on each side) convex to the image side. 
         [0181]    In the tenth embodiment ( FIG. 10 ), in a four-group zoom construction including positive, negative, positive, and positive lens groups, the lens groups are constructed as follows. A first lens group Gr 1  includes, sequentially from the object side, a cemented lens element including a negative meniscus lens element concave to the image side and a biconvex positive lens element, and a positive meniscus lens element convex to the object side. A second lens group Gr 2  includes, sequentially from the object side, a biconcave negative lens element, and a cemented lens element including a biconcave negative lens element and a biconvex positive lens element (having an aspherical surface on the image side). A third lens group Gr 3  includes, sequentially from the object side, a stop ST, a cemented lens element including a biconvex positive lens element (having an aspherical surface on the object side), a biconcave negative lens element, and a positive meniscus lens element convex to the object side, and a positive meniscus lens element (having an aspherical surface on each side) convex to the object side. A fourth lens group Gr 4  includes a cemented lens element including a biconvex positive lens element and a biconcave negative lens element. 
       EXAMPLES 
       [0182]    Hereinafter, further specific descriptions will be given of features of the zoom lens systems embodying the invention, such as the construction thereof, with reference to construction data and other data of examples. Examples 1 to 10 (EX1 to EX10) presented below are numerical examples corresponding to the above-described first to tenth embodiments, respectively. Thus, the optical construction diagrams ( FIGS. 1 to 10 ) showing the first to tenth embodiments also show the lens constructions of Examples 1 to 10, respectively. 
         [0183]    The construction data of each example includes, as surface data, sequentially from the leftmost column, ri denoting the i-th radius of curvature (in mm), di denoting the i-th axial inter-surface distance (in mm), Ni denoting the i-th refractive index with respect to the d-line (a wavelength of 587.56 nm), vi denoting the i-th Abbe number with respect to the d-line, and the focal length (in mm) of each lens element, where “i-th” indicates an order counted from the object side. A surface whose radius of curvature ri is marked with an asterisk (*) is an aspherical surface, and the surface shape of an aspherical surface is defined by formula (AS) below, employing the local rectangular coordinate system (x, y, z) having an origin at the vertex of the aspherical surface. As aspherical surface data, an aspherical surface coefficient and the like are presented. Note that, in the aspherical surface data of the examples, the coefficient of an unlisted term is zero, and E−n=×10 −n  applies to all the data. 
         [0000]        z =( c·h   2 )/{1+√(1 −ε·c   2   ·h   2 )}+Σ( Aj·h   j )  (AS)
 
         [0184]    where 
         [0185]    h represents a height (h 2 =x 2 +y 2 ) in a direction perpendicular to a z-axis (an optical axis AX), 
         [0186]    z represents an amount of sag (with respect to a surface vertex) at a position of the height h in a direction of the optical axis AX, 
         [0187]    c represents a curvature (the reciprocal of the radius of curvature r) at a surface vertex; 
         [0188]    ε represents quadric surface parameter, and 
         [0189]    Aj represents an aspherical surface coefficient of the j-th order. 
         [0190]    As miscellaneous data, the zoom ratio, the focal length of the entire optical system (f, in mm), the angle of view (2ω, in °), the back focus (BF, in mm), the total lens length (TL, in mm), the F-number (Fno.), and the image height (Y′, in mm) are presented, and the focal length (in mm) of each lens group is presented as zoom lens-group data. Note that the back focus (BF) used here indicates the distance from the image-side surface of a cover glass (corresponding to the plane parallel plate PT) to the image plane. Furthermore, Table 1 and Table 2 show values corresponding to the conditional formulas of the examples. 
         [0191]      FIGS. 11A-11I  to  20 A- 20 I are aberration diagrams corresponding to Examples 1 to 10 (EX 1 to EX 10), respectively, where (W) denotes the wide-angle end, (M) denotes the middle-focal-length position, and (T) denotes the telephoto end, and  FIGS. 11A-11I  to  20 A- 20 I show aberrations (sequentially from the leftmost side, spherical aberration and so on, astigmatism, and distortion aberration) at (W), (M), and (T). In  FIGS. 11A-11I  to  20 A- 20 I, FNO denotes the F number, and Y′ (in mm) denotes the maximum image height (corresponding to the distance from the optical axis AX) on the light receiving surface SS of the image sensing device SR. In the spherical aberration diagrams, a solid line d indicates spherical aberration (in mm) with respect to the d-line, and a broken line SC indicates deviation (in mm) from sine condition to be fulfilled. In the astigmatism diagrams, a broken line DM represents astigmatism (in mm) with respect to the d-line on the meridional surface, and a solid line DS represents astigmatism (in mm) with respect to the d-line on the sagittal surface. Besides, in the distortion diagrams, a solid line represents distortion (in %) with respect to the d-line. 
       Example 1 
       [0192]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 45.035 
                 d1 
                 1.000 
                 N1 
                 1.91082 
                 ν1 
                 35.25 
                 611.45 
               
               
                 r2 
                 22.120 
                 d2 
                 3.707 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 6138.359 
                 d3 
                 0.100 
               
               
                 r4 
                 23.012 
                 d4 
                 3.164 
                 N3 
                 1.61800 
                 ν3 
                 63.39 
                 40.2 
               
             
          
           
               
                 r5 
                 295.850 
                 d5 
                 1.017~11.964~23.790 
               
             
          
           
               
                 r6 
                 −43.724 
                 d6 
                 0.600 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −7.88 
               
               
                 r7 
                 8.648 
                 d7 
                 3.342 
               
               
                 r8 
                 −21.228 
                 d8 
                 0.500 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −47.62 
               
               
                 r9 
                 10.866 
                 d9 
                 0.010 
                 N6 
                 1.51400 
                 ν6 
                 42.83 
               
               
                 r10 
                 10.866 
                 d10 
                 1.588 
                 N7 
                 2.00272 
                 ν7 
                 19.32 
               
             
          
           
               
                 r11* 
                 −110.055 
                 d11 
                 23.216~8.847~1.000 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 0.300 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 7.110 
                 d13 
                 2.294 
                 N8 
                 1.75539 
                 ν8 
                 47.67 
                 11.4 
               
               
                 r14 
                 53.277 
                 d14 
                 0.010 
                 N9 
                 1.51400 
                 ν9 
                 42.83 
               
               
                 r15 
                 53.277 
                 d15 
                 0.600 
                 N10 
                 1.82425 
                 ν10 
                 33.90 
               
               
                 r16 
                 5.676 
                 d16 
                 0.010 
                 N11 
                 1.51400 
                 ν11 
                 42.83 
               
               
                 r17 
                 5.676 
                 d17 
                 2.308 
                 N12 
                 1.62616 
                 ν12 
                 55.44 
               
               
                 r18 
                 −48.526 
                 d18 
                 0.804 
               
               
                 r19* 
                 −16.382 
                 d19 
                 0.703 
                 N13 
                 1.59505 
                 ν13 
                 36.11 
                 −31.33 
               
             
          
           
               
                 r20* 
                 −137.366 
                 d20 
                 4.304~8.150~11.237 
               
             
          
           
               
                 r21 
                 9.693 
                 d21 
                 2.219 
                 N14 
                 1.57098 
                 ν14 
                 50.80 
                 51.37 
               
               
                 r22 
                 −72.911 
                 d22 
                 0.500 
                 N15 
                 1.90366 
                 ν15 
                 31.32 
               
             
          
           
               
                 r23 
                 23.133 
                 d23 
                 4.754~15.008~18.716 
               
             
          
           
               
                 r24* 
                 3785.441 
                 d24 
                 1.800 
                 N16 
                 1.53048 
                 ν16 
                 55.72 
                 50.21 
               
               
                 r25* 
                 −26.822 
                 d25 
                 0.600 
               
               
                 r26 
                 ∞ 
                 d26 
                 0.600 
                 N17 
                 1.51680 
                 ν17 
                 64.20 
               
             
          
           
               
                 r27 
                 ∞ 
                 BF = 
                 2.51~2.49~2.43 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r11 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.59066086E−04 
               
               
                   
                 A6 = 
                 −0.52439324E−06 
               
               
                   
                 A8 = 
                 0.56268214E−07 
               
               
                   
                 A10 = 
                 −0.17460150E−08 
               
             
          
           
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.16224181E−03 
               
               
                   
                 A6 = 
                 −0.37595583E−05 
               
               
                   
                 A8 = 
                 0.32264368E−07 
               
               
                   
                 A10 = 
                 −0.15562369E−08 
               
             
          
           
               
                 r19 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.42970217E−02 
               
               
                   
                 A6 = 
                 −0.13925291E−03 
               
               
                   
                 A8 = 
                 0.28867932E−05 
               
               
                   
                 A10 = 
                 −0.45792442E−07 
               
             
          
           
               
                 r20 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.47558345E−02 
               
               
                   
                 A6 = 
                 −0.88669753E−04 
               
               
                   
                 A8 = 
                 0.13037719E−05 
               
             
          
           
               
                 r24 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.11038475E−02 
               
               
                   
                 A6 = 
                 0.99443584E−04 
               
               
                   
                 A8 = 
                 −0.59909699E−05 
               
               
                   
                 A10 = 
                 0.69558336E−07 
               
             
          
           
               
                 r25 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.10987139E−02 
               
               
                   
                 A6 = 
                 0.16070476E−03 
               
               
                   
                 A8 = 
                 −0.10080126E−04 
               
               
                   
                 A10 = 
                 0.16874855E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 17.93 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.92 
                 ~ 
                 20.64 
                 ~ 
                 88.21 
               
               
                   
                 2ω = 
                 78.2° 
                 ~ 
                 21.9° 
                 ~ 
                 5.2° 
               
               
                   
                 BF = 
                 2.51 
                 ~ 
                 2.49 
                 ~ 
                 2.43 
               
               
                   
                 TL = 
                 62.56 
                 ~ 
                 73.22 
                 ~ 
                 83.93 
               
               
                   
                 FNO. = 
                 3.04 
                 ~ 
                 4.96 
                 ~ 
                 5.70 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 38.25 
               
               
                   
                 2nd Group 
                 −6.44 
               
               
                   
                 3rd Group 
                 14.91 
               
               
                   
                 4th Group 
                 51.37 
               
               
                   
                 5th Group 
                 50.21 
               
               
                   
                   
               
             
          
         
       
     
       Example 2 
       [0193]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 74.079 
                 d1 
                 0.800 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 −876.7 
               
               
                 r2 
                 23.287 
                 d2 
                 3.809 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −124.194 
                 d3 
                 0.100 
               
               
                 r4 
                 23.579 
                 d4 
                 2.753 
                 N3 
                 1.77250 
                 ν3 
                 49.62 
                 33.98 
               
             
          
           
               
                 r5 
                 219.882 
                 d5 
                 0.600~11.383~22.549 
               
             
          
           
               
                 r6 
                 140.300 
                 d6 
                 0.600 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −10.02 
               
               
                 r7 
                 8.552 
                 d7 
                 2.556 
               
               
                 r8 
                 −9.692 
                 d8 
                 0.500 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −14.74 
               
               
                 r9 
                 9.118 
                 d9 
                 0.010 
                 N6 
                 1.51400 
                 ν6 
                 42.83 
               
               
                 r10 
                 9.118 
                 d10 
                 1.511 
                 N7 
                 1.94595 
                 ν7 
                 17.98 
               
             
          
           
               
                 r11 
                 −63.842 
                 d11 
                 16.607~6.164~0.100 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 0.400 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 6.783 
                 d13 
                 1.767 
                 N8 
                 1.76802 
                 ν8 
                 49.24 
                 14 
               
               
                 r14 
                 34.184 
                 d14 
                 0.010 
                 N9 
                 1.51400 
                 ν9 
                 42.83 
               
               
                 r15 
                 34.184 
                 d15 
                 0.500 
                 N10 
                 1.80518 
                 ν10 
                 25.46 
               
               
                 r16 
                 7.613 
                 d16 
                 0.010 
                 N11 
                 1.51400 
                 ν11 
                 42.83 
               
               
                 r17 
                 7.613 
                 d17 
                 1.800 
                 N12 
                 1.65844 
                 ν12 
                 50.85 
               
               
                 r18 
                 18.731 
                 d18 
                 1.153 
               
               
                 r19* 
                 −23.657 
                 d19 
                 1.013 
                 N13 
                 1.53048 
                 ν13 
                 55.72 
                 92.91 
               
             
          
           
               
                 r20* 
                 −16.222 
                 d20 
                 4.441~8.211~10.011 
               
             
          
           
               
                 r21 
                 9.854 
                 d21 
                 2.343 
                 N14 
                 1.58913 
                 ν14 
                 61.25 
                 40.9 
               
               
                 r22 
                 −34.329 
                 d22 
                 0.400 
                 N15 
                 1.80610 
                 ν15 
                 33.27 
               
             
          
           
               
                 r23 
                 24.531 
                 d23 
                 4.801~15.726~20.350 
               
             
          
           
               
                 r24* 
                 26.601 
                 d24 
                 1.355 
                 N16 
                 1.53048 
                 ν16 
                 55.72 
                 60.72 
               
               
                 r25* 
                 150.050 
                 d25 
                 0.300 
               
               
                 r26 
                 ∞ 
                 d26 
                 0.600 
                 N17 
                 1.51680 
                 ν17 
                 64.20 
               
             
          
           
               
                 r27 
                 ∞ 
                 BF = 
                 2.51~2.53~2.53 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.15647940E−03 
               
               
                   
                 A6 = 
                 −0.87841026E−05 
               
               
                   
                 A8 = 
                 0.57296279E−06 
               
               
                   
                 A10 = 
                 −0.23904675E−07 
               
             
          
           
               
                 r19 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.11598099E−02 
               
               
                   
                 A6 = 
                 0.14428944E−03 
               
               
                   
                 A8 = 
                 −0.57810222E−05 
               
               
                   
                 A10 = 
                 0.10520578E−06 
               
             
          
           
               
                 r20 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.18845280E−02 
               
               
                   
                 A6 = 
                 0.14585656E−03 
               
               
                   
                 A8 = 
                 −0.26862244E−05 
               
               
                   
                 A10 = 
                 0.86458149E−07 
               
             
          
           
               
                 r24 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.19347488E−02 
               
               
                   
                 A6 = 
                 0.14096575E−03 
               
               
                   
                 A8 = 
                 −0.77666941E−05 
               
               
                   
                 A10 = 
                 −0.18451296E−08 
               
             
          
           
               
                 r25 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.24212416E−02 
               
               
                   
                 A6 = 
                 0.28446863E−03 
               
               
                   
                 A8 = 
                 −0.18172092E−04 
               
               
                   
                 A10 = 
                 0.29136650E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 18.94 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.69 
                 ~ 
                 20.41 
                 ~ 
                 88.83 
               
               
                   
                 2ω = 
                 80.9 
                 ~ 
                 22.2 
                 ~ 
                 5.16 
               
               
                   
                 BF = 
                 2.51 
                 ~ 
                 2.53 
                 ~ 
                 2.53 
               
               
                   
                 TL = 
                 53.25 
                 ~ 
                 68.31 
                 ~ 
                 79.83 
               
               
                   
                 FNO. = 
                 3.10 
                 ~ 
                 5.00 
                 ~ 
                 5.70 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 35.06 
               
               
                   
                 2nd Group 
                 −5.46 
               
               
                   
                 3rd Group 
                 12.98 
               
               
                   
                 4th Group 
                 40.9 
               
               
                   
                 5th Group 
                 60.72 
               
               
                   
                   
               
             
          
         
       
     
       Example 3 
       [0194]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 81.473 
                 d1 
                 1.200 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 480.67 
               
               
                 r2 
                 37.397 
                 d2 
                 0.010 
                 N2 
                 1.51400 
                 ν2 
                 42.83 
               
               
                 r3 
                 37.397 
                 d3 
                 5.238 
                 N3 
                 1.49700 
                 ν3 
                 81.61 
               
               
                 r4 
                 −275.854 
                 d4 
                 0.100 
               
               
                 r5 
                 34.764 
                 d5 
                 3.933 
                 N4 
                 1.62229 
                 ν4 
                 53.17 
                 70.01 
               
             
          
           
               
                 r6 
                 164.571 
                 d6 
                 0.600~24.900~44.597 
               
             
          
           
               
                 r7 
                 51.438 
                 d7 
                 0.600 
                 N5 
                 1.90366 
                 ν5 
                 31.32 
                 −10.58 
               
               
                 r8 
                 8.019 
                 d8 
                 4.961 
               
               
                 r9 
                 −10.587 
                 d9 
                 0.500 
                 N6 
                 1.83481 
                 ν6 
                 42.72 
                 −33.68 
               
               
                 r10 
                 17.404 
                 d10 
                 0.010 
                 N7 
                 1.51400 
                 ν7 
                 42.83 
               
               
                 r11 
                 17.404 
                 d11 
                 1.819 
                 N8 
                 1.94595 
                 ν8 
                 17.98 
               
               
                 r12 
                 −24.185 
                 d12 
                 0.695 
               
               
                 r13* 
                 −22.894 
                 d13 
                 0.800 
                 N9 
                 1.69350 
                 ν9 
                 53.20 
                 −75.01 
               
             
          
           
               
                 r14* 
                 −41.473 
                 d14 
                 27.558~8.872~0.669 
               
             
          
           
               
                 r15 (Stop) 
                 ∞ 
                 d15 
                 1.000 
                   
                   
                   
                   
                   
               
               
                 r16* 
                 9.321 
                 d16 
                 3.474 
                 N10 
                 1.74330 
                 ν10 
                 49.33 
                 21.75 
               
               
                 r17 
                 −15.333 
                 d17 
                 0.010 
                 N11 
                 1.51400 
                 ν11 
                 42.83 
               
               
                 r18 
                 −15.333 
                 d18 
                 5.221 
                 N12 
                 1.83400 
                 ν12 
                 37.34 
               
               
                 r19 
                 6.180 
                 d19 
                 0.010 
                 N13 
                 1.51400 
                 ν13 
                 42.83 
               
               
                 r20 
                 6.180 
                 d20 
                 2.426 
                 N14 
                 1.58913 
                 ν14 
                 61.25 
               
               
                 r21 
                 82.678 
                 d21 
                 0.633 
               
               
                 r22* 
                 17.586 
                 d22 
                 1.909 
                 N15 
                 1.58313 
                 ν15 
                 59.46 
                 40.16 
               
             
          
           
               
                 r23* 
                 67.777 
                 d23 
                 4.306~7.567~15.940 
               
             
          
           
               
                 r24 
                 13.648 
                 d24 
                 2.226 
                 N16 
                 1.57098 
                 ν16 
                 50.80 
                 152.2 
               
               
                 r25 
                 −66.031 
                 d25 
                 0.010 
                 N17 
                 1.51400 
                 ν17 
                 42.83 
               
               
                 r26 
                 −66.031 
                 d26 
                 0.624 
                 N18 
                 1.90366 
                 ν18 
                 31.32 
               
             
          
           
               
                 r27 
                 38.024 
                 d27 
                 3.620~19.230~26.452 
               
             
          
           
               
                 r28* 
                 22.436 
                 d28 
                 1.812 
                 N19 
                 1.53048 
                 ν19 
                 55.72 
                 78.16 
               
               
                 r29* 
                 47.523 
                 d29 
                 1.675 
               
               
                 r30 
                 ∞ 
                 d30 
                 1.100 
                 N20 
                 1.51680 
                 ν20 
                 64.20 
               
             
          
           
               
                 r31 
                 ∞ 
                 BF = 
                 1.96~1.96~2.0 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.24145862E−03 
               
               
                   
                 A6 = 
                 −0.16206578E−04 
               
               
                   
                 A8 = 
                 0.29429550E−06 
               
               
                   
                 A10 = 
                 −0.38337456E−08 
               
             
          
           
               
                 r14 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.18468313E−03 
               
               
                   
                 A6 = 
                 −0.14191523E−04 
               
               
                   
                 A8 = 
                 0.28833960E−06 
               
               
                   
                 A10 = 
                 −0.37574697E−08 
               
             
          
           
               
                 r16 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.52487646E−04 
               
               
                   
                 A6 = 
                 0.56575338E−06 
               
               
                   
                 A8 = 
                 −0.89428352E−07 
               
               
                   
                 A10 = 
                 0.64262282E−08 
               
               
                   
                 A12 = 
                 −0.19917914E−09 
               
               
                   
                 A14 = 
                 0.18959592E−11 
               
             
          
           
               
                 r22 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.15637754E−03 
               
               
                   
                 A6 = 
                 −0.95235497E−05 
               
               
                   
                 A8 = 
                 −0.43075007E−06 
               
               
                   
                 A10 = 
                 −0.24257873E−08 
               
             
          
           
               
                 r23 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.58414553E−04 
               
               
                   
                 A6 = 
                 −0.70845249E−05 
               
               
                   
                 A8 = 
                 −0.51658779E−06 
               
               
                   
                 A10 = 
                 0.70563911E−08 
               
             
          
           
               
                 r28 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.10576609E−02 
               
               
                   
                 A6 = 
                 0.68848314E−04 
               
               
                   
                 A8 = 
                 −0.38272657E−05 
               
               
                   
                 A10 = 
                 0.56227484E−07 
               
             
          
           
               
                 r29 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.14576869E−02 
               
               
                   
                 A6 = 
                 0.10080345E−03 
               
               
                   
                 A8 = 
                 −0.55396727E−05 
               
               
                   
                 A10 = 
                 0.91297524E−07 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 37.85 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.11 
                 ~ 
                 24.18 
                 ~ 
                 155.56 
               
               
                   
                 2ω = 
                 88.5° 
                 ~ 
                 18.8° 
                 ~ 
                 2.95° 
               
               
                   
                 BF = 
                 1.96 
                 ~ 
                 1.96 
                 ~ 
                 2.0 
               
               
                   
                 TL = 
                 80.04 
                 ~ 
                 104.52 
                 ~ 
                 131.65 
               
               
                   
                 FNO. = 
                 3.49 
                 ~ 
                 5.24 
                 ~ 
                 5.86 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 61.48 
               
               
                   
                 2nd Group 
                 −6.4 
               
               
                   
                 3rd Group 
                 16.82 
               
               
                   
                 4th Group 
                 66.5 
               
               
                   
                 5th Group 
                 78.16 
               
               
                   
                   
               
             
          
         
       
     
       Example 4 
       [0195]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 80.025 
                 d1 
                 1.577 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 560.18 
               
               
                 r2 
                 36.801 
                 d2 
                 4.894 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −341.569 
                 d3 
                 0.100 
               
               
                 r4 
                 35.448 
                 d4 
                 4.005 
                 N3 
                 1.62229 
                 ν3 
                 53.17 
                 67.58 
               
             
          
           
               
                 r5 
                 215.951 
                 d5 
                 0.869~23.270~43.459 
               
             
          
           
               
                 r6 
                 −582.835 
                 d6 
                 0.603 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −9.44 
               
               
                 r7 
                 8.727 
                 d7 
                 5.135 
               
               
                 r8 
                 −17.747 
                 d8 
                 0.749 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −45.05 
               
               
                 r9 
                 14.842 
                 d9 
                 0.010 
                 N6 
                 1.51400 
                 ν6 
                 42.83 
               
               
                 r10 
                 14.842 
                 d10 
                 2.672 
                 N7 
                 2.00272 
                 ν7 
                 19.32 
               
             
          
           
               
                 r11* 
                 −55.848 
                 d11 
                 38.312~11.399~1.884 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 1.150 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 9.997 
                 d13 
                 3.059 
                 N8 
                 1.74330 
                 ν8 
                 49.33 
                 22.7 
               
               
                 r14 
                 −24.000 
                 d14 
                 0.010 
                 N9 
                 1.51400 
                 ν9 
                 42.83 
               
               
                 r15 
                 −24.000 
                 d15 
                 5.324 
                 N10 
                 1.83400 
                 ν10 
                 37.34 
               
               
                 r16 
                 6.777 
                 d16 
                 0.010 
                 N11 
                 1.51400 
                 ν11 
                 42.83 
               
               
                 r17 
                 6.777 
                 d17 
                 2.500 
                 N12 
                 1.61800 
                 ν12 
                 63.39 
               
               
                 r18 
                 61.357 
                 d18 
                 0.943 
               
               
                 r19* 
                 72.486 
                 d19 
                 1.200 
                 N13 
                 1.53048 
                 ν13 
                 55.72 
                 79.82 
               
             
          
           
               
                 r20* 
                 −101.244 
                 d20 
                 6.284~6.662~15.561 
               
             
          
           
               
                 r21 
                 13.565 
                 d21 
                 2.455 
                 N14 
                 1.57098 
                 ν14 
                 50.80 
                 56.16 
               
               
                 r22 
                 −40.811 
                 d22 
                 0.615 
                 N15 
                 1.90366 
                 ν15 
                 31.32 
               
             
          
           
               
                 r23 
                 50.038 
                 d23 
                 4.711~22.059~26.272 
               
             
          
           
               
                 r24* 
                 31.947 
                 d24 
                 1.761 
                 N16 
                 1.53048 
                 ν16 
                 55.72 
                 157.63 
               
               
                 r25* 
                 50.711 
                 d25 
                 0.618 
               
               
                 r26 
                 ∞ 
                 d26 
                 0.600 
                 N17 
                 1.51680 
                 ν17 
                 64.20 
               
             
          
           
               
                 r27 
                 ∞ 
                 BF = 
                 2.48~2.48~2.41 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r11 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.29995476E−04 
               
               
                   
                 A6 = 
                 0.59300125E−07 
               
               
                   
                 A8 = 
                 −0.41239700E−08 
               
               
                   
                 A10 = 
                 0.56072596E−10 
               
             
          
           
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.45308335E−04 
               
               
                   
                 A6 = 
                 0.16998131E−06 
               
               
                   
                 A8 = 
                 −0.10305262E−07 
               
               
                   
                 A10 = 
                 0.13671803E−09 
               
             
          
           
               
                 r19 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.22433487E−05 
               
               
                   
                 A6 = 
                 −0.15924835E−04 
               
               
                   
                 A8 = 
                 0.48187007E−06 
               
               
                   
                 A10 = 
                 −0.11986145E−07 
               
             
          
           
               
                 r20 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.20224326E−03 
               
               
                   
                 A6 = 
                 −0.11886985E−04 
               
               
                   
                 A8 = 
                 0.39435590E−06 
               
               
                   
                 A10 = 
                 −0.73914496E−08 
               
             
          
           
               
                 r24 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.23059971E−02 
               
               
                   
                 A6 = 
                 0.15375941E−03 
               
               
                   
                 A8 = 
                 −0.89078357E−05 
               
               
                   
                 A10 = 
                 0.18303116E−06 
               
             
          
           
               
                 r25 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.34012937E−02 
               
               
                   
                 A6 = 
                 0.22992180E−03 
               
               
                   
                 A8 = 
                 −0.11446638E−04 
               
               
                   
                 A10 = 
                 0.21662181E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 34.11 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.11 
                 ~ 
                 24.00 
                 ~ 
                 140.19 
               
               
                   
                 2ω = 
                 88.5° 
                 ~ 
                 18.9° 
                 ~ 
                 3.27° 
               
               
                   
                 BF = 
                 2.48 
                 ~ 
                 2.48 
                 ~ 
                 2.41 
               
               
                   
                 TL = 
                 92.65 
                 ~ 
                 105.87 
                 ~ 
                 129.58 
               
               
                   
                 FNO. = 
                 3.13 
                 ~ 
                 5.02 
                 ~ 
                 5.90 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 60.83 
               
               
                   
                 2nd Group 
                 −7.32 
               
               
                   
                 3rd Group 
                 19.73 
               
               
                   
                 4th Group 
                 56.16 
               
               
                   
                 5th Group 
                 157.63 
               
               
                   
                   
               
             
          
         
       
     
       Example 5 
       [0196]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 52.241 
                 d1 
                 0.800 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 −473.92 
               
               
                 r2 
                 20.837 
                 d2 
                 3.695 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 14579.385 
                 d3 
                 0.100 
               
               
                 r4 
                 22.429 
                 d4 
                 2.802 
                 N3 
                 1.77250 
                 ν3 
                 49.62 
                 33.36 
               
             
          
           
               
                 r5 
                 163.545 
                 d5 
                 0.600~11.747~22.737 
               
             
          
           
               
                 r6 
                 53.461 
                 d6 
                 0.600 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −10.56 
               
               
                 r7 
                 8.109 
                 d7 
                 3.623 
               
               
                 r8 
                 −8.308 
                 d8 
                 0.500 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −14.38 
               
               
                 r9 
                 10.928 
                 d9 
                 0.010 
                 N6 
                 1.51400 
                 ν6 
                 42.83 
               
               
                 r10 
                 10.928 
                 d10 
                 1.452 
                 N7 
                 1.94595 
                 ν7 
                 17.98 
               
             
          
           
               
                 r11 
                 −33.933 
                 d11 
                 16.559~6.152~0.100 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 0.400 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 6.352 
                 d13 
                 1.969 
                 N8 
                 1.76802 
                 ν8 
                 49.24 
                 13.75 
               
               
                 r14 
                 31.977 
                 d14 
                 0.010 
                 N9 
                 1.51400 
                 ν9 
                 42.83 
               
               
                 r15 
                 31.977 
                 d15 
                 0.500 
                 N10 
                 1.80518 
                 ν10 
                 25.46 
               
               
                 r16 
                 6.893 
                 d16 
                 0.010 
                 N11 
                 1.51400 
                 ν11 
                 42.83 
               
               
                 r17 
                 6.893 
                 d17 
                 2.298 
                 N12 
                 1.65844 
                 ν12 
                 50.85 
               
               
                 r18 
                 14.350 
                 d18 
                 1.676 
               
               
                 r19* 
                 53.489 
                 d19 
                 1.000 
                 N13 
                 1.53048 
                 ν13 
                 55.72 
                 72.01 
               
             
          
           
               
                 r20* 
                 −132.762 
                 d20 
                 4.694~8.342~10.120 
               
             
          
           
               
                 r21 
                 10.338 
                 d21 
                 2.318 
                 N14 
                 1.58913 
                 ν14 
                 61.25 
                 42.26 
               
               
                 r22 
                 −30.041 
                 d22 
                 0.400 
                 N15 
                 1.80610 
                 ν15 
                 33.27 
               
             
          
           
               
                 r23 
                 27.344 
                 d23 
                 4.750~15.075~19.581 
               
             
          
           
               
                 r24 
                 ∞ 
                 d24 
                 0.600 
                 N16 
                 1.51680 
                 ν16 
                 64.20 
                   
               
             
          
           
               
                 r25 
                 ∞ 
                 BF = 
                 2.53~2.53~2.52 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.12328129E−03 
               
               
                   
                 A6 = 
                 −0.61500027E−05 
               
               
                   
                 A8 = 
                 0.45743699E−06 
               
               
                   
                 A10 = 
                 −0.14914037E−07 
               
             
          
           
               
                 r19 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.15593265E−02 
               
               
                   
                 A6 = 
                 0.50232743E−04 
               
               
                   
                 A8 = 
                 −0.11634268E−04 
               
               
                   
                 A10 = 
                 0.51061706E−06 
               
             
          
           
               
                 r20 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.34648925E−03 
               
               
                   
                 A6 = 
                 0.75190352E−04 
               
               
                   
                 A8 = 
                 −0.96402037E−05 
               
               
                   
                 A10 = 
                 0.53028998E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 18.94 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 5.08 
                 ~ 
                 22.10 
                 ~ 
                 96.20 
               
               
                   
                 2ω = 
                 76.4° 
                 ~ 
                 20.5° 
                 ~ 
                 4.76° 
               
               
                   
                 BF = 
                 2.53 
                 ~ 
                 2.53 
                 ~ 
                 2.52 
               
               
                   
                 TL = 
                 53.9 
                 ~ 
                 68.61 
                 ~ 
                 79.82 
               
               
                   
                 FNO. = 
                 3.10 
                 ~ 
                 4.98 
                 ~ 
                 5.70 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 35.98 
               
               
                   
                 2nd Group 
                 −5.41 
               
               
                   
                 3rd Group 
                 12.44 
               
               
                   
                 4th Group 
                 42.26 
               
               
                   
                   
               
             
          
         
       
     
       Example 6 
       [0197]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 76.426 
                 d1 
                 1.400 
                 N1 
                 1.91082 
                 ν1 
                 35.25 
                 565.6 
               
               
                 r2 
                 36.066 
                 d2 
                 5.098 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −401.640 
                 d3 
                 0.100 
               
               
                 r4 
                 34.378 
                 d4 
                 4.022 
                 N3 
                 1.61800 
                 ν3 
                 63.39 
                 67.82 
               
             
          
           
               
                 r5 
                 182.645 
                 d5 
                 0.874~24.165~43.777 
               
             
          
           
               
                 r6 
                 −1503.646 
                 d6 
                 0.600 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −9.44 
               
               
                 r7 
                 8.648 
                 d7 
                 5.251 
               
               
                 r8 
                 −17.493 
                 d8 
                 0.758 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −44.24 
               
               
                 r9 
                 15.220 
                 d9 
                 2.695 
                 N6 
                 2.00272 
                 ν6 
                 19.32 
               
             
          
           
               
                 r10* 
                 −54.429 
                 d10 
                 38.344~11.729~1.885 
               
             
          
           
               
                 r11 (Stop) 
                 ∞ 
                 d11 
                 1.150 
                   
                   
                   
                   
                   
               
               
                 r12* 
                 9.913 
                 d12 
                 3.106 
                 N7 
                 1.74330 
                 ν7 
                 49.33 
                 22.75 
               
               
                 r13 
                 −24.512 
                 d13 
                 4.828 
                 N8 
                 1.83400 
                 ν8 
                 37.34 
               
               
                 r14 
                 6.745 
                 d14 
                 2.510 
                 N9 
                 1.61800 
                 ν9 
                 63.39 
               
               
                 r15 
                 60.554 
                 d15 
                 0.978 
               
               
                 r16* 
                 151.766 
                 d16 
                 1.200 
                 N10 
                 1.53048 
                 ν10 
                 55.72 
                 83.13 
               
             
          
           
               
                 r17* 
                 −61.989 
                 d17 
                 6.423~7.890~15.394 
               
             
          
           
               
                 r18 
                 13.140 
                 d18 
                 2.442 
                 N11 
                 1.57098 
                 ν11 
                 50.80 
                 54.89 
               
               
                 r19 
                 −44.897 
                 d19 
                 0.600 
                 N12 
                 1.90366 
                 ν12 
                 31.32 
               
             
          
           
               
                 r20 
                 45.408 
                 d20 
                 4.955~20.962~25.541 
               
             
          
           
               
                 r21* 
                 305.301 
                 d21 
                 1.790 
                 N13 
                 1.53048 
                 ν13 
                 55.72 
                 123.98 
               
               
                 r22* 
                 −83.660 
                 d22 
                 0.600 
               
               
                 r23 
                 ∞ 
                 d23 
                 0.600 
                 N14 
                 1.51680 
                 ν14 
                 64.20 
               
             
          
           
               
                 r24 
                 ∞ 
                 BF = 
                 2.48~2.52~2.46 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r10 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.28722625E−04 
               
               
                   
                 A6 = 
                 0.70295837E−07 
               
               
                   
                 A8 = 
                 −0.68877967E−08 
               
               
                   
                 A10 = 
                 0.11192367E−09 
               
             
          
           
               
                 r12 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.44021749E−04 
               
               
                   
                 A6 = 
                 0.16475507E−06 
               
               
                   
                 A8 = 
                 −0.13614245E−07 
               
               
                   
                 A10 = 
                 0.25768729E−09 
               
             
          
           
               
                 r16 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.34297128E−05 
               
               
                   
                 A6 = 
                 −0.67008329E−05 
               
               
                   
                 A8 = 
                 0.85895252E−07 
               
               
                   
                 A10 = 
                 −0.36761721E−08 
               
             
          
           
               
                 r17 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.20347612E−03 
               
               
                   
                 A6 = 
                 −0.32120885E−05 
               
               
                   
                 A8 = 
                 0.35029997E−07 
               
             
          
           
               
                 r21 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.30346265E−02 
               
               
                   
                 A6 = 
                 0.28884789E−03 
               
               
                   
                 A8 = 
                 −0.17816720E−04 
               
               
                   
                 A10 = 
                 0.37760197E−06 
               
             
          
           
               
                 r22 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.42305201E−02 
               
               
                   
                 A6 = 
                 0.39623056E−03 
               
               
                   
                 A8 = 
                 −0.21495071E−04 
               
               
                   
                 A10 = 
                 0.41555649E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 34.09 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.12 
                 ~ 
                 24.04 
                 ~ 
                 140.45 
               
               
                   
                 2ω = 
                 88.3° 
                 ~ 
                 18.9° 
                 ~ 
                 3.3° 
               
               
                   
                 BF = 
                 2.48 
                 ~ 
                 2.52 
                 ~ 
                 2.46 
               
               
                   
                 TL = 
                 92.81 
                 ~ 
                 106.99 
                 ~ 
                 128.79 
               
               
                   
                 FNO. = 
                 3.20 
                 ~ 
                 5.04 
                 ~ 
                 5.90 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 61.09 
               
               
                   
                 2nd Group 
                 −7.28 
               
               
                   
                 3rd Group 
                 19.56 
               
               
                   
                 4th Group 
                 54.89 
               
               
                   
                 5th Group 
                 123.98 
               
               
                   
                   
               
             
          
         
       
     
       Example 7 
       [0198]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 85.256 
                 d1 
                 1.200 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 521.27 
               
               
                 r2 
                 37.691 
                 d2 
                 5.306 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −242.539 
                 d3 
                 0.100 
               
               
                 r4 
                 35.114 
                 d4 
                 4.012 
                 N3 
                 1.62229 
                 ν3 
                 53.17 
                 68.52 
               
             
          
           
               
                 r5 
                 190.221 
                 d5 
                 0.600~24.784~43.639 
               
             
          
           
               
                 r6 
                 92.871 
                 d6 
                 0.600 
                 N4 
                 1.90366 
                 ν4 
                 31.32 
                 −10.89 
               
               
                 r7 
                 8.873 
                 d7 
                 4.650 
               
               
                 r8 
                 −12.152 
                 d8 
                 0.500 
                 N5 
                 1.83481 
                 ν5 
                 42.72 
                 −33.8 
               
               
                 r9 
                 14.300 
                 d9 
                 1.903 
                 N6 
                 1.94595 
                 ν6 
                 17.98 
               
               
                 r10 
                 −32.698 
                 d10 
                 0.800 
               
               
                 r11* 
                 −24.217 
                 d11 
                 0.800 
                 N7 
                 1.58913 
                 ν7 
                 61.25 
                 −66.93 
               
             
          
           
               
                 r12* 
                 −63.539 
                 d12 
                 28.378~9.267~0.659 
               
             
          
           
               
                 r13 (Stop) 
                 ∞ 
                 d13 
                 1.000 
                   
                   
                   
                   
                   
               
               
                 r14* 
                 9.219 
                 d14 
                 3.483 
                 N8 
                 1.74330 
                 ν8 
                 49.33 
                 19.44 
               
               
                 r15 
                 −18.083 
                 d15 
                 3.460 
                 N9 
                 1.83400 
                 ν9 
                 37.34 
               
               
                 r16 
                 6.636 
                 d16 
                 2.601 
                 N10 
                 1.61800 
                 ν10 
                 63.39 
               
               
                 r17 
                 158.809 
                 d17 
                 0.715 
               
               
                 r18* 
                 26.255 
                 d18 
                 1.283 
                 N11 
                 1.53048 
                 ν11 
                 55.72 
                 77.26 
               
             
          
           
               
                 r19* 
                 71.828 
                 d19 
                 5.941~9.366~14.168 
               
             
          
           
               
                 r20 
                 14.369 
                 d20 
                 2.455 
                 N12 
                 1.57098 
                 ν12 
                 50.80 
                 61.91 
               
               
                 r21 
                 −40.101 
                 d21 
                 1.000 
                 N13 
                 1.90366 
                 ν13 
                 31.32 
               
             
          
           
               
                 r22 
                 52.671 
                 d22 
                 3.744~18.930~31.379 
               
             
          
           
               
                 r23* 
                 36.052 
                 d23 
                 1.800 
                 N14 
                 1.53048 
                 ν14 
                 55.72 
                 72.23 
               
               
                 r24* 
                 599.956 
                 d24 
                 0.800 
               
               
                 r25 
                 ∞ 
                 d25 
                 0.600 
                 N15 
                 1.51680 
                 ν15 
                 64.20 
               
             
          
           
               
                 r26 
                 ∞ 
                 BF = 
                 2.52~2.55~2.62 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r11 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.21117130E−03 
               
               
                   
                 A6 = 
                 −0.12138508E−04 
               
               
                   
                 A8 = 
                 0.10470648E−06 
               
               
                   
                 A10 = 
                 0.28570893E−09 
               
             
          
           
               
                 r12 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.16829279E−03 
               
               
                   
                 A6 = 
                 −0.10857180E−04 
               
               
                   
                 A8 = 
                 0.14238292E−06 
               
               
                   
                 A10 = 
                 −0.63875237E−09 
               
             
          
           
               
                 r14 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.51898770E−04 
               
               
                   
                 A6 = 
                 0.10802812E−05 
               
               
                   
                 A8 = 
                 −0.11611541E−06 
               
               
                   
                 A10 = 
                 0.72486478E−08 
               
               
                   
                 A12 = 
                 −0.20244033E−09 
               
               
                   
                 A14 = 
                 0.18879901E−11 
               
             
          
           
               
                 r18 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.16727629E−03 
               
               
                   
                 A6 = 
                 −0.15124851E−04 
               
               
                   
                 A8 = 
                 −0.39430676E−06 
               
               
                   
                 A10 = 
                 −0.83296333E−09 
               
             
          
           
               
                 r19 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.11343300E−03 
               
               
                   
                 A6 = 
                 −0.10863046E−04 
               
               
                   
                 A8 = 
                 −0.44368767E−06 
               
               
                   
                 A10 = 
                 0.89945171E−08 
               
             
          
           
               
                 r23 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.17269178E−02 
               
               
                   
                 A6 = 
                 0.13678435E−03 
               
               
                   
                 A8 = 
                 −0.80552161E−05 
               
               
                   
                 A10 = 
                 0.15082436E−06 
               
             
          
           
               
                 r24 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.21618556E−02 
               
               
                   
                 A6 = 
                 0.18380507E−03 
               
               
                   
                 A8 = 
                 −0.10148114E−04 
               
               
                   
                 A10 = 
                 0.18681040E−06 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 37.89 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.11 
                 ~ 
                 24.19 
                 ~ 
                 155.74 
               
               
                   
                 2ω = 
                 88.5° 
                 ~ 
                 18.8° 
                 ~ 
                 2.9° 
               
               
                   
                 BF = 
                 2.52 
                 ~ 
                 2.55 
                 ~ 
                 2.62 
               
               
                   
                 TL = 
                 80.25 
                 ~ 
                 103.96 
                 ~ 
                 131.53 
               
               
                   
                 FNO. = 
                 3.09 
                 ~ 
                 5.11 
                 ~ 
                 6.66 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 60.85 
               
               
                   
                 2nd Group 
                 −6.41 
               
               
                   
                 3rd Group 
                 16.91 
               
               
                   
                 4th Group 
                 61.91 
               
               
                   
                 5th Group 
                 72.23 
               
               
                   
                   
               
             
          
         
       
     
       Example 8 
       [0199]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 84.133 
                 d1 
                 1.400 
                 N1 
                 1.91082 
                 ν1 
                 35.25 
                 662.96 
               
               
                 r2 
                 38.068 
                 d2 
                 5.492 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −336.115 
                 d3 
                 0.100 
               
               
                 r4 
                 36.950 
                 d4 
                 4.513 
                 N3 
                 1.61800 
                 ν3 
                 63.39 
                 69.13 
               
             
          
           
               
                 r5 
                 260.776 
                 d5 
                 0.600~24.917~45.243 
               
             
          
           
               
                 r6 
                 150.570 
                 d6 
                 0.700 
                 N4 
                 1.88300 
                 ν4 
                 40.80 
                 −9.56 
               
               
                 r7 
                 7.972 
                 d7 
                 4.442 
               
               
                 r8* 
                 −16.831 
                 d8 
                 0.700 
                 N5 
                 1.85135 
                 ν5 
                 40.10 
                 −11.57 
               
               
                 r9* 
                 24.193 
                 d9 
                 0.080 
               
               
                 r10 
                 28.201 
                 d10 
                 2.001 
                 N6 
                 1.94595 
                 ν6 
                 17.98 
                 16.18 
               
             
          
           
               
                 r11 
                 −32.321 
                 d11 
                 37.763~12.070~1.837 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 1.330 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 7.942 
                 d13 
                 3.370 
                 N7 
                 1.72903 
                 ν7 
                 54.04 
                 9.9 
               
               
                 r14* 
                 −65.147 
                 d14 
                 0.100 
               
               
                 r15 
                 31.845 
                 d15 
                 1.002 
                 N8 
                 1.85026 
                 ν8 
                 32.29 
                 −12.27 
               
               
                 r16 
                 7.744 
                 d16 
                 0.809 
               
               
                 r17 
                 12.361 
                 d17 
                 1.377 
                 N9 
                 2.00069 
                 ν9 
                 25.46 
                 53.34 
               
               
                 r18 
                 5.751 
                 d18 
                 1.615 
                 N10 
                 1.64769 
                 ν10 
                 33.84 
               
             
          
           
               
                 r19 
                 140.689 
                 d19 
                 5.278~8.518~16.583 
               
             
          
           
               
                 r20 
                 15.940 
                 d20 
                 1.997 
                 N11 
                 1.56883 
                 ν11 
                 56.04 
                 63.16 
               
               
                 r21 
                 −60.130 
                 d21 
                 0.800 
                 N12 
                 1.91082 
                 ν12 
                 35.25 
               
             
          
           
               
                 r22 
                 68.478 
                 d22 
                 4.808~16.773~18.560 
               
             
          
           
               
                 r23* 
                 −57.448 
                 d23 
                 1.750 
                 N13 
                 1.53048 
                 ν13 
                 55.72 
                 76.82 
               
               
                 r24* 
                 −24.091 
                 d24 
                 0.600 
               
               
                 r25 
                 ∞ 
                 d25 
                 0.600 
                 N14 
                 1.51680 
                 ν14 
                 64.20 
               
             
          
           
               
                 r26 
                 ∞ 
                 BF = 
                 2.51~2.53~2.52 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r8 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.81577446E−03 
               
               
                   
                 A6 = 
                 0.29515896E−04 
               
               
                   
                 A8 = 
                 −0.52806794E−06 
               
               
                   
                 A10 = 
                 0.32242657E−08 
               
             
          
           
               
                 r9 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.81397010E−03 
               
               
                   
                 A6 = 
                 0.33215788E−04 
               
               
                   
                 A8 = 
                 −0.65385166E−06 
               
               
                   
                 A10 = 
                 0.51167455E−08 
               
             
          
           
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.16055191E−03 
               
               
                   
                 A6 = 
                 −0.35061340E−05 
               
               
                   
                 A8 = 
                 0.52149723E−07 
               
               
                   
                 A10 = 
                 −0.34150813E−08 
               
             
          
           
               
                 r14 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.31171734E−04 
               
               
                   
                 A6 = 
                 −0.19424587E−05 
               
               
                   
                 A8 = 
                 0.45827221E−07 
               
               
                   
                 A10 = 
                 −0.31161108E−08 
               
             
          
           
               
                 r23 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.12118886E−04 
               
               
                   
                 A6 = 
                 0.74955612E−05 
               
               
                   
                 A8 = 
                 −0.31696535E−05 
               
               
                   
                 A10 = 
                 0.77455297E−07 
               
             
          
           
               
                 r24 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.30787651E−03 
               
               
                   
                 A6 = 
                 −0.89968884E−05 
               
               
                   
                 A8 = 
                 −0.31196660E−05 
               
               
                   
                 A10 = 
                 0.84837210E−07 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 34.15 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 3.96 
                 ~ 
                 23.14 
                 ~ 
                 135.24 
               
               
                   
                 2ω = 
                 90.6° 
                 ~ 
                 19.6° 
                 ~ 
                 3.4° 
               
               
                   
                 BF = 
                 2.51 
                 ~ 
                 2.53 
                 ~ 
                 2.52 
               
               
                   
                 TL = 
                 85.74 
                 ~ 
                 99.58 
                 ~ 
                 119.52 
               
               
                   
                 FNO. = 
                 3.11 
                 ~ 
                 5.01 
                 ~ 
                 5.90 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 63.03 
               
               
                   
                 2nd Group 
                 −7.71 
               
               
                   
                 3rd Group 
                 17.77 
               
               
                   
                 4th Group 
                 56.41 
               
               
                   
                 5th Group 
                 76.82 
               
               
                   
                   
               
             
          
         
       
     
       Example 9 
       [0200]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 70.943 
                 d1 
                 1.400 
                 N1 
                 1.91082 
                 ν1 
                 35.25 
                 540.28 
               
               
                 r2 
                 35.473 
                 d2 
                 5.025 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −862.664 
                 d3 
                 0.100 
               
               
                 r4 
                 34.115 
                 d4 
                 4.286 
                 N3 
                 1.61800 
                 ν3 
                 63.39 
                 69.81 
               
             
          
           
               
                 r5 
                 155.225 
                 d5 
                 0.957~24.468~44.454 
               
             
          
           
               
                 r6 
                 −499.848 
                 d6 
                 0.700 
                 N4 
                 1.90366 
                 ν4 
                 31.32 
                 −9.79 
               
               
                 r7 
                 9.011 
                 d7 
                 5.209 
               
               
                 r8* 
                 −15.202 
                 d8 
                 0.118 
                 N5 
                 1.51790 
                 ν5 
                 52.31 
                 −40.92 
               
               
                 r9 
                 −15.437 
                 d9 
                 0.600 
                 N6 
                 1.85135 
                 ν6 
                 40.10 
               
               
                 r10 
                 15.988 
                 d10 
                 2.365 
                 N7 
                 1.94595 
                 ν7 
                 17.98 
               
             
          
           
               
                 r11 
                 −40.505 
                 d11 
                 38.890~11.816~1.857 
               
             
          
           
               
                 r12 (Stop) 
                 ∞ 
                 d12 
                 1.150 
                   
                   
                   
                   
                   
               
               
                 r13* 
                 9.533 
                 d13 
                 2.815 
                 N8 
                 1.72903 
                 ν8 
                 54.04 
                 37.88 
               
               
                 r14 
                 −22.443 
                 d14 
                 3.910 
                 N9 
                 1.83481 
                 ν9 
                 42.72 
               
               
                 r15 
                 13.103 
                 d15 
                 0.903 
               
               
                 r16 
                 15.256 
                 d16 
                 2.500 
                 N10 
                 1.90366 
                 ν10 
                 31.32 
                 30.89 
               
               
                 r17 
                 7.375 
                 d17 
                 1.828 
                 N11 
                 1.62263 
                 ν11 
                 58.16 
               
             
          
           
               
                 r18* 
                 −67.295 
                 d18 
                 6.830~8.362~16.157 
               
             
          
           
               
                 r19 
                 12.510 
                 d19 
                 2.474 
                 N12 
                 1.57098 
                 ν12 
                 50.80 
                 50.41 
               
               
                 r20 
                 −64.719 
                 d20 
                 0.700 
                 N13 
                 1.90366 
                 ν13 
                 31.32 
               
             
          
           
               
                 r21 
                 39.234 
                 d21 
                 5.095~20.828~25.304 
               
             
          
           
               
                 r22* 
                 −52.951 
                 d22 
                 1.800 
                 N14 
                 1.53048 
                 ν14 
                 55.72 
                 94.98 
               
               
                 r23* 
                 −26.122 
                 d23 
                 0.600 
               
               
                 r24 
                 ∞ 
                 d24 
                 0.600 
                 N15 
                 1.51680 
                 ν15 
                 64.20 
               
             
          
           
               
                 r25 
                 ∞ 
                 BF = 
                 2.50~2.56~2.59 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r8 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.84203098E−04 
               
               
                   
                 A6 = 
                 −0.37506313E−06 
               
               
                   
                 A8 = 
                 0.31714128E−07 
               
               
                   
                 A10 = 
                 −0.36749906E−09 
               
             
          
           
               
                 r13 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.48766973E−04 
               
               
                   
                 A6 = 
                 −0.13321288E−06 
               
               
                   
                 A8 = 
                 0.30172647E−08 
               
               
                   
                 A10 = 
                 −0.19794136E−09 
               
             
          
           
               
                 r18 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.17150084E−03 
               
               
                   
                 A6 = 
                 0.19458234E−05 
               
               
                   
                 A8 = 
                 0.85501879E−07 
               
             
          
           
               
                 r22 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.15044471E−02 
               
               
                   
                 A6 = 
                 0.55604525E−04 
               
               
                   
                 A8 = 
                 −0.23243027E−05 
               
               
                   
                 A10 = 
                 −0.65929710E−09 
               
             
          
           
               
                 r23 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.21486983E−02 
               
               
                   
                 A6 = 
                 0.12910881E−03 
               
               
                   
                 A8 = 
                 −0.57900978E−05 
               
               
                   
                 A10 = 
                 0.77972516E−07 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 34.13 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.15 
                 ~ 
                 24.23 
                 ~ 
                 141.65 
               
               
                   
                 2ω = 
                 87.9° 
                 ~ 
                 18.8° 
                 ~ 
                 3.2° 
               
               
                   
                 BF = 
                 2.50 
                 ~ 
                 2.56 
                 ~ 
                 2.59 
               
               
                   
                 TL = 
                 93.36 
                 ~ 
                 107.12 
                 ~ 
                 129.44 
               
               
                   
                 FNO. = 
                 3.24 
                 ~ 
                 5.08 
                 ~ 
                 5.90 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 62.51 
               
               
                   
                 2nd Group 
                 −7.37 
               
               
                   
                 3rd Group 
                 20.13 
               
               
                   
                 4th Group 
                 50.41 
               
               
                   
                 5th Group 
                 94.98 
               
               
                   
                   
               
             
          
         
       
     
       Example 10 
       [0201]      
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
               
               
               
               
             
               
             
               
               
               
             
           
               
                   
               
               
                 Unit: mm 
               
               
                   
               
             
             
               
                 Surface Data 
               
             
          
           
               
                 Radius of 
                 Axial 
                 Refractive 
                 Abbe 
                 Focal 
               
               
                 Curvature 
                 Distance 
                 Index 
                 Number 
                 Length 
               
               
                   
               
             
          
           
               
                 Object Plane 
                 ∞ 
                 d0 
                 ∞ 
                   
                   
                   
                   
                   
               
               
                 r1 
                 73.999 
                 d1 
                 1.413 
                 N1 
                 1.90366 
                 ν1 
                 31.32 
                 799.11 
               
               
                 r2 
                 35.944 
                 d2 
                 4.685 
                 N2 
                 1.49700 
                 ν2 
                 81.61 
               
               
                 r3 
                 −1956.105 
                 d3 
                 0.100 
               
               
                 r4 
                 36.812 
                 d4 
                 3.972 
                 N3 
                 1.62229 
                 ν3 
                 53.17 
                 67.94 
               
             
          
           
               
                 r5 
                 272.976 
                 d5 
                 1.027~23.596~45.275 
               
             
          
           
               
                 r6 
                 −851.086 
                 d6 
                 0.600 
                 N4 
                 1.91082 
                 ν4 
                 35.25 
                 −8.54 
               
               
                 r7 
                 7.856 
                 d7 
                 6.249 
               
               
                 r8 
                 −30.245 
                 d8 
                 0.600 
                 N5 
                 1.88300 
                 ν5 
                 40.80 
                 −89.04 
               
               
                 r9 
                 15.542 
                 d9 
                 2.266 
                 N6 
                 2.00272 
                 ν6 
                 19.32 
               
             
          
           
               
                 r10* 
                 −101.708 
                 d10 
                 39.736~11.108~1.918 
               
             
          
           
               
                 r11 (Stop) 
                 ∞ 
                 d11 
                 1.150 
                   
                   
                   
                   
                   
               
               
                 r12* 
                 10.265 
                 d12 
                 3.280 
                 N7 
                 1.74330 
                 ν7 
                 49.33 
                 21.92 
               
               
                 r13 
                 −32.346 
                 d13 
                 4.797 
                 N8 
                 1.83400 
                 ν8 
                 37.34 
               
               
                 r14 
                 6.533 
                 d14 
                 2.510 
                 N9 
                 1.61800 
                 ν9 
                 63.39 
               
               
                 r15 
                 201.541 
                 d15 
                 0.769 
               
               
                 r16* 
                 39.369 
                 d16 
                 1.411 
                 N10 
                 1.53048 
                 ν10 
                 55.72 
                 97.88 
               
             
          
           
               
                 r17* 
                 160.826 
                 d17 
                 6.292~6.678~15.559 
               
             
          
           
               
                 r18 
                 17.301 
                 d18 
                 2.488 
                 N11 
                 1.57098 
                 ν11 
                 50.80 
                   
               
               
                 r19 
                 −27.438 
                 d19 
                 1.000 
                 N12 
                 1.90366 
                 ν12 
                 31.32 
                 97.88 
               
             
          
           
               
                 r20 
                 124.407 
                 d20 
                 6.295~23.628~27.861 
               
             
          
           
               
                 r21 
                 ∞ 
                 d21 
                 0.600 
                 N13 
                 1.51680 
                 ν13 
                 64.20 
                 67.98 
               
             
          
           
               
                 r22 
                 ∞ 
                 BF = 
                 2.51~2.51~2.49 
               
               
                 Image Plane 
                 ∞ 
               
               
                   
               
             
          
           
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 r10 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 −0.50672659E−04 
               
               
                   
                 A6 = 
                 −0.80963140E−08 
               
               
                   
                 A8 = 
                 −0.64752836E−08 
               
               
                   
                 A10 = 
                 −0.81677878E−11 
               
             
          
           
               
                 r12 
               
             
          
           
               
                   
                 ε = 
                 1.0192 
               
               
                   
                 A4 = 
                 −0.41532358E−04 
               
               
                   
                 A6 = 
                 0.21860484E−06 
               
               
                   
                 A8 = 
                 −0.14205445E−07 
               
               
                   
                 A10 = 
                 0.22199007E−09 
               
             
          
           
               
                 r16 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.28338729E−04 
               
               
                   
                 A6 = 
                 −0.13228681E−04 
               
               
                   
                 A8 = 
                 0.59833721E−06 
               
               
                   
                 A10 = 
                 −0.20040570E−07 
               
             
          
           
               
                 r17 
               
             
          
           
               
                   
                 ε = 
                 1.0000 
               
               
                   
                 A4 = 
                 0.18633951E−03 
               
               
                   
                 A6 = 
                 −0.10061279E−04 
               
               
                   
                 A8 = 
                 0.47437869E−06 
               
               
                   
                 A10 = 
                 −0.15522887E−07 
               
               
                   
                   
               
             
          
           
               
                 Miscellaneous Data 
               
               
                 Zoom Ratio: 34.13 
               
             
          
           
               
                   
                   
                 (W) 
                 ~ 
                 (M) 
                 ~ 
                 (T) 
               
               
                   
                   
               
               
                   
                 f = 
                 4.11 
                 ~ 
                 24.01 
                 ~ 
                 140.28 
               
               
                   
                 2ω = 
                 88.5 
                 ~ 
                 18.9° 
                 ~ 
                 3.3° 
               
               
                   
                 BF = 
                 2.51 
                 ~ 
                 2.51 
                 ~ 
                 2.49 
               
               
                   
                 TL = 
                 93.74 
                 ~ 
                 105.41 
                 ~ 
                 130.99 
               
               
                   
                 FNO. = 
                 3.01 
                 ~ 
                 4.89 
                 ~ 
                 5.90 
               
               
                   
                 Y′ = 
                 4.0 
                 ~ 
                 4.0 
                 ~ 
                 4.0 
               
               
                   
                   
               
             
          
           
               
                 Zoom Lens Group Data 
               
             
          
           
               
                   
                 Group 
                 Focal Length 
               
               
                   
                   
               
               
                   
                 1st Group 
                 63.31 
               
               
                   
                 2nd Group 
                 −7.43 
               
               
                   
                 3rd Group 
                 19.38 
               
               
                   
                 4th Group 
                 67.98 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                   
                 TABLE 1 
               
               
                   
                   
               
               
                   
                 Conditional 
                 Conditional 
                 Conditional 
                 Conditional 
                 Conditional 
                 Conditional 
               
               
                   
                 Formula(A1) 
                 Formula(A2) 
                 Formula(A3) 
                 Formula(A4) 
                 Formula(A5) 
                 Formula(A6) 
               
               
                   
                 f3/√(fw × ft) 
                 CR32/f3 
                 Nd11 
                 νd11 
                 β4t/β4w 
                 dist* 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                 EX1 
                 0.71 
                 0.38 
                 1.91082 
                 35.25 
                 0.62 
                 −19.6 
               
               
                 EX2 
                 0.64 
                 0.59 
                 1.90366 
                 31.32 
                 0.44 
                 −19.1 
               
               
                 EX3 
                 0.67 
                 0.37 
                 1.90366 
                 31.32 
                 0.56 
                 −18.7 
               
               
                 EX4 
                 0.82 
                 0.34 
                 1.90366 
                 31.32 
                 0.49 
                 −19.8 
               
               
                 EX5 
                 0.56 
                 0.55 
                 1.90366 
                 31.32 
                 0.52 
                 −19.0 
               
               
                   
               
               
                 *dist = {(ywmax − Ymax)/Ymax} × 100 
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
             
             
               
                   
                 Condi- 
                 Condi- 
                 Condi- 
                 Condi- 
                 Condi- 
               
               
                   
                 tional 
                 tional 
                 tional 
                 tional 
                 tional 
               
               
                   
                 Formula 
                 Formula 
                 Formula 
                 Formula 
                 Formula 
               
               
                   
                 (B1) 
                 (B2) 
                 (B3) 
                 (B4) 
                 (B5) 
               
               
                   
                 β2t/ β2w 
                 β3t/ β3w 
                 (B1)/(B2) 
                 Nd11 
                 νd11 
               
               
                   
               
               
                 EX6 
                 8.81 
                 7.81 
                 1.13 
                 1.91082 
                 35.25 
               
               
                 EX7 
                 8.37 
                 10.69 
                 0.78 
                 1.90366 
                 31.32 
               
               
                 EX8 
                 8.91 
                 5.61 
                 1.59 
                 1.91082 
                 35.25 
               
               
                 EX9 
                 8.84 
                 8.86 
                 1.00 
                 1.91082 
                 35.25 
               
               
                 EX10 
                 7.99 
                 7.09 
                 1.13 
                 1.90366 
                 31.32 
               
               
                   
               
             
          
           
               
                   
                   
                 Condi- 
                 Condi- 
                 Condi- 
                 Condi- 
               
               
                   
                   
                 tional 
                 tional 
                 tional 
                 tional 
               
               
                   
                   
                 Formula 
                 Formula 
                 Formula 
                 Formula 
               
               
                   
                   
                 (B6) 
                 (B7) 
                 (B8) 
                 (B9) 
               
               
                   
                   
                 β4t/ β4w 
                 dist* 
                 m3/TLt 
                 m4/TLt 
               
               
                   
                   
               
               
                   
                 EX6 
                 0.50 
                 −19.8 
                 −0.23 
                 −0.16 
               
               
                   
                 EX7 
                 0.42 
                 −19.8 
                 −0.27 
                 −0.21 
               
               
                   
                 EX8 
                 0.68 
                 −20.1 
                 −0.21 
                 −0.12 
               
               
                   
                 EX9 
                 0.44 
                 −19.8 
                 −0.23 
                 −0.16 
               
               
                   
                 EX10 
                 0.60 
                 −19.8 
                 −0.24 
                 −0.16 
               
               
                   
                   
               
               
                   
                 *dist = {(ywmax − Ymax/Ymax} × 100 
               
             
          
         
       
     
       LIST OF REFERENCE SYMBOLS 
       [0000]    
       
         
           
             DU digital apparatus 
             LU imaging optical device 
             ZL zoom lens system 
             Gr 1  first lens group 
             Gr 2  second lens group 
             Gr 3  third lens group 
             Gr 4  fourth lens group 
             Gr 5  fifth lens group 
             L 31  first lens element (cemented lens element) 
             L 32  second lens element 
             ST stop (aperture stop) 
             SR image sensing device 
             SS light receiving surface (imaging surface) 
             IM image plane (optical image) 
             AX optical axis 
               1  signal processing portion 
               2  control portion 
               3  memory 
               4  operation portion 
               5  display portion