Abstract:
An infrared lens has three lens groups put in serial order from a position closer to an object, namely, the foremost or first group of lens pieces of positive refractivity, the succeeding or second group of lens pieces of negative refractivity, and the rearmost or third group of lens pieces of positive refractivity, and a substance of the second group of lens pieces having greater dispersive power than that or those of the first and third groups of lens pieces. The infrared lens assuredly retains sufficient brightness, namely, having an appropriate numerical aperture, but yet no longer suffers chromatic aberration for rays in a wavelength range of 10 μm or so in addition to fully correcting spherical aberration, comatic aberration, and curvature of field, thereby attaining clear and vivid focused images.

Description:
FIELD OF THE INVENTION 
       [0001]    The present invention relates to an infrared lens, and more particularly, to an infrared lens adapted to form a clear image by focusing infrared rays so as to be suitable for applications of infrared ray thermography, surveillance cameras, and the like. The term ‘infrared rays’ used herein refers to radiations including intermediate infrared rays of wavelength ranging from 3000 to 5000 nm and far infrared rays ranging from 8000 to 14000 nm. 
       BACKGROUND ART 
       [0002]    Medical-purpose or industrial IR sensors and vidicons for transmitted light of wavelength around approximately 10 micrometers are dull in light sensitivity. Germanium used in their optics has a poorer transmissivity than any other substances used in ordinary optical lenses. Thus, optics for such optical pickup devices are required to be a so-called ‘bright optics’ having a reduced aperture ratio. 
         [0003]    One example of the prior art IR lens disclosed so far (see Patent Document 1 listed below) is comprised of three lens groups each of which consists of a single lens piece, including the foremost or first lens, closer to an object, that is a convex meniscus lens with its convex surface faced toward an object, the succeeding or second lens that is a concave lens, and the rearmost or third lens that is a convex meniscus lens with its concave surface faced toward an object; and such an IR lens meets requirements as defined in the following formulae: 
         [0000]      0.79≦ f/f 1&lt;0.87   (1)
 
         [0000]      −0.43≦( r 1+ r 5)/ r 3≦0.076   (2)
 
         [0000]      0.151 f ≦( d 1+ d 3+ d 5)≦0.176 f    (3)
 
         [0000]    where f is a focal length of the entire optics, f 1  is the focal length of the first lens, ri is a radius of curvature of the i-th lens surface that is the i-th closest to the object, and di is a distance between the opposite surfaces of the i-th lens or its thickness. 
         [0004]    Another example of the prior art IR lens (see Patent Document 2 listed below) is comprised of two meniscus lens pieces and meets predetermined requirements as defined in a formula so as to reduce cost and weight and attain imaging performance satisfactory in practical use although compact as well. Specifically, such an IR lens consists of a first lens L 1  that is a meniscus lens of positive refractive power with its convex surface faced to the object and a second lens L 2 . Also, the IR lens meets requirements defined in the following formulae (4) to (7): 
         [0000]      0.8&lt; R   1 Convex   /f&lt; 3.0   (4)
 
         [0000]      0.3&lt; R   2 Convex   /f&lt; 1.2   (5)
 
         [0000]      0.8&lt; D/f&lt; 1.4   (6)
 
         [0000]      N 1 &gt;2.0,  N 2&gt;2.0   (7)
 
         [0000]    where f is a focal length of the entire optics, R 1  Convex is a radius of curvature of a convex surface of the first lens L 1 , R 2  Convex is the radius of curvature of the convex surface of the second lens L 2 , D is a distance between the first and second lenses, N 1  is a refractive index of the first lens L 1 , and N 2  is the refractive index of the second lens L 2 ; and both the lenses L 1  and L 2  are made of germanium. 
         [0005]    Still another example of the prior art IR lens is disclosed as that which can be fabricated at a reduced cost and designed to have a wider angle of view up to approximately 30 degrees and a sufficient back focus ensured relative to a focal length, still implementing a good optical performance for beams of wavelength band ranging from 7 μm to 1 μm. Such an IR lens is comprised of the foremost or first lens L 1  that is located closer to an object than the remaining and is shaped in positive meniscus with its convex surface faced toward the object, an aperture stop, the succeeding or second lens L 2  that is shaped in negative meniscus with its concave surface faced toward the object, and the rearmost or third lens L 3  that is shaped in positive meniscus with its convex surface faced toward the object. Assuming now that the entire optics has a focal length as denoted by f, a fore surface of the second lens L 2  closer to the object has a radius of curvature as denoted by r 4 , a hind surface of the second lens L 2  closer to an imaging plate has the radius of curvature as denoted by r 5 , and the second lens L 2  has a thickness at its center as designated by d 4 , the IR lens meets requirements defined in the following formulae (8) and (9): 
         [0000]      0.4&lt;| r 4|/ f&lt; 0.82   (8)
 
         [0000]      0.9&lt;(| r 4|+ d 4)/| r 5|&lt;1.10   (9)
 
         [0000]    (e.g., see Patent Document 3 listed below). 
       CITED DOCUMENTS OF THE RELATED ART 
     Patent Document 1 
       [0000]    
       
         Official Gazette of Japanese Preliminary Publication of Unexamined Patent Application No. SH062-30208 
       
     
       Patent Document 2 
       [0000]    
       
         Official Gazette of Japanese Preliminary Publication of Unexamined Patent Application No. 2000-75203 
       
     
       Patent Document 3 
       [0000]    
       
         Official Gazette of Japanese Preliminary Publication of Unexamined Patent Application No. 2010-39243 
       
     
       SUMMARY OF THE INVENTION 
     Problem to be Solved by the Invention 
       [0009]    The IR lens described in Patent Document 1 still suffers chromatic aberration for rays of wavelength of approximately 10 μm and fails to fully correct spherical aberration and field curvature. In addition, because of its poor resolving power, the IR lens cannot produce clear and vivid focused images. 
         [0010]    The IR lens in Patent Document 2 still suffers chromatic aberration for rays of wavelength of approximately 10 μm and fails to fully correct spherical aberration and field curvature. In addition, because of its extended overall length of the optics, the IR lens design is not suitable for downsizing. 
         [0011]    Since the IR lens disclosed in Patent Document 3 has its second and third lenses L 2  and L 3  arranged in a tight series with a small distance therebetween despite a great refractive power of the third lens L 3 , it necessitates a correspondingly extended back focus, and resultantly, insufficient compensation for astigmatism is unavoidable. Specifically, the IR lens in Patent Document 3 is devised to make a difference especially in attaining a wider angle of view, and hence, it can address correction of aberrations almost up to the standard for the wide-angle view. Meanwhile, for the telephoto view, the IR lens gets significantly long in its entire longitudinal dimension as well as in back focus without sufficient compensation for aberration, which would make users evaluate the IR lens as clumsy. Theses disadvantages of the IR lens in Patent Document 3 are more conspicuous when it focuses far infrared rays. 
         [0012]    (1) The present invention is made to overcome the aforementioned disadvantages in the prior art IR lens, and accordingly, it is an object of the present invention to provide an infrared lens that assuredly retains sufficient brightness, namely, having an appropriate numerical aperture, but yet no longer suffers chromatic aberration for rays in a wavelength range of 10 μm or so in addition to fully correcting spherical aberration, comatic aberration, and curvature of field, thereby attaining clear and vivid focused images. 
         [0013]    (2) It is another object of the present invention to provide an IR lens that is capable of acceptably compensating for comatic aberration throughout a zooming range from the telephoto view to the wide-angle view without further extending a longitudinal dimension of the IR lens in zooming out for the telephoto view as well as a back focus. 
         [0014]    (3) A yet another object of the present invention is to provide a pliant infrared lens of three-lens group structure in which the second foremost lens group and the rearmost or third lens group are arranged in series with a greater distance therebetween, so as to have a shortened back focus and facilitate fully correcting astigmatism throughout the entire range from the telephoto view to the wide-angle view. Especially, in focusing far infrared rays of light, the IR lens of the present invention is intended to acceptably correct astigmatism throughout the entire range from the telephoto view to the wide-angle view, and to create images in the telephoto view without further extending a longitudinal dimension of the IR lens as well as a back focus. 
       SUMMARY OF THE INVENTION 
       [0015]    In a first aspect of the present invention, an infrared lens has three lens groups put in serial order from a position closer to an object, namely, the foremost or first group of lens pieces of positive refractivity, the succeeding or second group of lens pieces of negative refractivity, and the rearmost or third group of lens pieces of positive refractivity, and a substance of the second group of lens pieces has greater dispersive power than that or those of the first and third groups of lens pieces. 
         [0016]    Refractive index of germanium relative to varied wavelength of transmitted light is 4.0074 to n(8 μm), 4.0052 to n(10 μm), and 4.0039 to n(12μ), respectively. An arithmetic operation based on the following formula of dispersion power, [n(8 μm)−n(12 μm)]/[n(10 μm)−1], brings about a resolution 0.0012 indicating the dispersive power of germanium. 
         [0017]    Refractive index of zinc selenide relative to varied wavelength of transmitted light is 2.5917 to n(8 μm), 2.5861 to n(10 μm), and 2.5794 to n(12μ), respectively. Another arithmetic operation based on the same formula of dispersion power, [n(8 μm)−n(12 μm)]/[n(10 μm)−1], brings about a resolution 0.0078 indicating the dispersive power of chalcogenide. 
         [0018]    Refractive index of zinc selenide relative to varied wavelength of transmitted light is 2.4163 to n(8 μm), 2.4053 to n(10 μm), and 2.3915 to n(12μ), respectively. Further another arithmetic operation based on the same formula of dispersion power, [n(8 μm)−n(12 μm)]/[n(10 μm)−1], brings about a resolution 0.0176 indicating the dispersive power of zinc selenide. 
         [0019]    In a second aspect of the present invention, an infrared lens has three lens groups put in serial order from a position closer to an object, namely, the foremost or first group of lens pieces of positive refractivity, the succeeding or second group of lens pieces of negative refractivity, and the rearmost or third group of lens pieces of positive refractivity. 
         [0020]    In a third aspect of the present invention, an infrared lens has three lens groups put in serial order from a position closer to an object, namely, the foremost or first group of lens pieces of positive refractivity, the succeeding or second group of lens pieces of positive refractivity, and the rearmost or third group of lens pieces of positive refractivity. 
         [0021]    The infrared lens in the first aspect of the present invention is adapted to assuredly retain sufficient brightness, namely, having an appropriate numerical aperture, but yet no longer suffer chromatic aberration for rays in a wavelength range of 10 μm or so in addition to fully correcting spherical aberration, comatic aberration, and curvature of field, thereby attaining clear and vivid focused images. 
         [0022]    The infrared lens in the second aspect of the present invention is adapted to assuredly retain sufficient brightness, namely, having an appropriate numerical aperture, and acceptably compensate for comatic aberration throughout a zooming range from the telephoto view to the wide-angle view without further extending a longitudinal dimension of the IR lens in zooming out for the telephoto view as well as its back focus. 
         [0023]    The present invention in the third aspect provides a pliant infrared lens that is adapted to assuredly retain sufficient brightness, namely, having an appropriate numerical aperture, and has its second and third lens groups arranged in series with a greater distance therebetween, so as to have a shortened back focus and facilitate fully correcting astigmatism throughout a zooming range from the telephoto view to the wide-angle view. Especially, in focusing far infrared rays of light, the IR lens of the present invention in the third aspect can acceptably correct astigmatism throughout the entire range from the telephoto view to the wide-angle view, and to create images in the telephoto view without further extending a longitudinal dimension of the IR lens as well as its back focus. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0024]      FIG. 1  is a sectional view of optics of a first embodiment of an infrared lens in accordance with a first aspect of the present invention; 
           [0025]      FIG. 2  is a graph illustrating spherical aberration observed in the first embodiment of the infrared lens according to the first aspect of the present invention; 
           [0026]      FIG. 3  is a graph illustrating astigmatism observed in the first embodiment of the infrared lens according to the first aspect of the present invention; 
           [0027]      FIG. 4  is a graph illustrating meridional comatic aberration observed in the first embodiment of the infrared lens according to the first aspect of the present invention; 
           [0028]      FIG. 5  is a graph illustrating sagittal comatic aberration observed in the first embodiment of the infrared lens according to the first aspect of the present invention; 
           [0029]      FIG. 6  is a sectional view of optics of a second embodiment of the infrared lens in accordance with the first aspect of the present invention; 
           [0030]      FIG. 7  is a graph illustrating spherical aberration observed in the second embodiment of the infrared lens according to the first aspect of the present invention; 
           [0031]      FIG. 8  is a graph illustrating astigmatism observed in the second embodiment of the infrared lens according to the first aspect of the present invention; 
           [0032]      FIG. 9  is a graph illustrating meridional comatic aberration observed in the second embodiment of the infrared lens according to the first aspect of the present invention; 
           [0033]      FIG. 10  is a graph illustrating sagittal comatic aberration observed in the second embodiment of the infrared lens according to the first aspect of the present invention; 
           [0034]      FIG. 11  is a sectional view of optics of a third embodiment of an infrared lens in accordance with a first aspect of the present invention; 
           [0035]      FIG. 12  is a graph illustrating spherical aberration observed in the third embodiment of the infrared lens according to the first aspect of the present invention; 
           [0036]      FIG. 13  is a graph illustrating astigmatism observed in the third embodiment of the infrared lens according to the first aspect of the present invention; 
           [0037]      FIG. 14  is a graph illustrating meridional comatic aberration observed in the third embodiment of the infrared lens according to the first aspect of the present invention; 
           [0038]      FIG. 15  is a graph illustrating sagittal comatic aberration observed in the third embodiment of the infrared lens according to the first aspect of the present invention; 
           [0039]      FIG. 16  is a sectional view of optics of a fourth embodiment of an infrared lens in accordance with a first aspect of the present invention; 
           [0040]      FIG. 17  is a graph illustrating spherical aberration observed in the fourth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0041]      FIG. 18  is a graph illustrating astigmatism observed in the fourth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0042]      FIG. 19  is a graph illustrating meridional comatic aberration observed in the fourth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0043]      FIG. 20  is a graph illustrating sagittal comatic aberration observed in the fourth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0044]      FIG. 21  is a sectional view of optics of a fifth embodiment of an infrared lens in accordance with a first aspect of the present invention; 
           [0045]      FIG. 22  is a graph illustrating spherical aberration observed in the fifth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0046]      FIG. 23  is a graph illustrating astigmatism observed in the fifth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0047]      FIG. 24  is a graph illustrating meridional comatic aberration observed in the fifth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0048]      FIG. 25  is a graph illustrating sagittal comatic aberration observed in the fifth embodiment of the infrared lens according to the first aspect of the present invention; 
           [0049]      FIG. 26  is a sectional view of optics of a first embodiment of an infrared lens in accordance with a second aspect of the present invention; 
           [0050]      FIG. 27  is a graph illustrating spherical aberration observed in the first embodiment of the infrared lens according to the second aspect of the present invention; 
           [0051]      FIG. 28  is a graph illustrating astigmatism observed in the first embodiment of the infrared lens according to the second aspect of the present invention; 
           [0052]      FIG. 29  is a graph illustrating distortion aberration observed in the first embodiment of the infrared lens according to the second aspect of the present invention; 
           [0053]      FIG. 30  is a graph illustrating meridional comatic aberration observed in the first embodiment of the infrared lens according to the second aspect of the present invention; 
           [0054]      FIG. 31  is a graph illustrating sagittal comatic aberration observed in the first embodiment of the infrared lens according to the second aspect of the present invention; 
           [0055]      FIG. 32  is a sectional view of optics of a second embodiment of an infrared lens in accordance with a second aspect of the present invention; 
           [0056]      FIG. 33  is a graph illustrating spherical aberration observed in the second embodiment of the infrared lens according to the second aspect of the present invention; 
           [0057]      FIG. 34  is a graph illustrating astigmatism observed in the second embodiment of the infrared lens according to the second aspect of the present invention; 
           [0058]      FIG. 35  is a graph illustrating distortion aberration observed in the second embodiment of the infrared lens according to the second aspect of the present invention; 
           [0059]      FIG. 36  is a graph illustrating meridional comatic aberration observed in the second embodiment of the infrared lens according to the second aspect of the present invention; 
           [0060]      FIG. 37  is a graph illustrating sagittal comatic aberration observed in the second embodiment of the infrared lens according to the second aspect of the present invention; 
           [0061]      FIG. 38  is a sectional view of optics of a first embodiment of an infrared lens in accordance with a third aspect of the present invention; 
           [0062]      FIG. 39  is a graph illustrating spherical aberration observed in the first embodiment of the infrared lens according to the third aspect of the present invention; 
           [0063]      FIG. 40  is a graph illustrating astigmatism observed in the first embodiment of the infrared lens according to the third aspect of the present invention; 
           [0064]      FIG. 41  is a graph illustrating distortion aberration observed in the first embodiment of the infrared lens according to the third aspect of the present invention; 
           [0065]      FIG. 42  is a graph illustrating meridional comatic aberration observed in the first embodiment of the infrared lens according to the third aspect of the present invention; 
           [0066]      FIG. 43  is a graph illustrating sagittal comatic aberration observed in the first embodiment of the infrared lens according to the third aspect of the present invention; 
           [0067]      FIG. 44  is a sectional view of optics of a second embodiment of an infrared lens in accordance with a third aspect of the present invention; 
           [0068]      FIG. 45  is a graph illustrating spherical aberration observed in the second embodiment of the infrared lens according to the third aspect of the present invention; 
           [0069]      FIG. 46  is a graph illustrating astigmatism observed in the second embodiment of the infrared lens according to the third aspect of the present invention; 
           [0070]      FIG. 47  is a graph illustrating distortion aberration observed in the second embodiment of the infrared lens according to the third aspect of the present invention; 
           [0071]      FIG. 48  is a graph illustrating meridional comatic aberration observed in the second embodiment of the infrared lens according to the third aspect of the present invention; and 
           [0072]      FIG. 49  is a graph illustrating sagittal comatic aberration observed in the second embodiment of the infrared lens according to the third aspect of the present invention. 
       
    
    
     DESCRIPTION OF THE INVENTION 
     Best Mode of the Invention in the First Aspect 
       [0073]    The invention in the first aspect will now be detailed in conjunction with various embodiments of the infrared lens as summarized in the above. 
         [0074]    In the infrared lens, the second group of lens pieces are made of chalcogenide. 
         [0075]    Configured in this manner, the infrared lens, which is of a substance stable in optical properties and commercial supply, can fully correct chromatic aberration for transmitted beams of light of wavelength of 10 μm and around. 
         [0076]    Alternatively, the second group of lens pieces may be made of zinc selenide. 
         [0077]    Configured in this manner, the infrared lens, which is of such an alternative substance stable in optical properties and commercial supply, can fully correct chromatic aberration for transmitted beams of light of wavelength of 10 μm and around. 
         [0078]    Further alternatively, the first and second groups of lens pieces may be made of germanium. 
         [0079]    Configured in this manner, the infrared lens, which has its optics reduced in light absorption and given greater refractive power, can create images with adverse effects of chromatic aberration fully corrected, and production of the infrared lens can benefit from stable supply of such a lens material. 
         [0080]    The infrared lens in the first aspect meets requirements as defined in the following formula: 
         [0000]      0.8≦ f/f 1≦1.1   (10)
 
         [0000]    where f is a focal length of the infrared lens, and f 1  is the focal length of the first group of lens pieces. 
         [0081]    Configured in this manner, the IR lens is capable of reducing spherical aberration to an acceptable level, and especially of enhancing axial resolution. 
         [0082]    The infrared lens in the first aspect of the invention has one of the opposite surfaces of at least one of lens pieces made aspherical in shape. 
         [0083]    Configured in this manner, the IR lens is capable of reducing spherical aberration to an acceptable level. 
         [0084]    Alternatively, the infrared lens in the first aspect of the invention has one of the opposite surfaces of at least one of lens pieces micro-machined to serve as an aspherical diffraction grating. 
         [0085]    Configured in this manner, the IR lens is capable of reducing chromatic aberration to an acceptable level. 
         [0086]    A yet further alternative infrared lens in the first aspect of the invention has its third group of lens pieces displaced in directions orthogonal to the optical axis so as to compensate for image sway. 
         [0087]    The third lens group is smaller in diameter and lighter than the first lens group, and is more suitably displaced in the directions orthogonal to the optical axis. A driving mechanism for forcedly displacing the third lens group in the directions orthogonal to the optical axis is placed in the middle or hind area of the lens optics, and hence, the IR lens, as a whole, can be advantageously downsized. 
       Best Mode of the Invention in the Second Aspect 
       [0088]    The invention in the second aspect will now be detailed in conjunction with various embodiments of the infrared lens as summarized in the above. 
         [0089]    In the infrared lens, the first to third groups of lens pieces are made of germanium. 
         [0090]    Configured in this manner, the infrared lens, which has its optics reduced in light absorption and given greater refractive power, can create images with adverse effects of chromatic aberration fully corrected, and production of the infrared lens can benefit from stable supply of such a lens material. 
         [0091]    Alternatively, the infrared lens may have the first to third lens groups each of which consists of a single lens piece. 
         [0092]    By virtue of such a single-lens design where the component lens pieces are reduced in number in all the lens groups, a manufacturing cost can be reduced. This single-lens design is also useful to minimize the number of air contact surfaces of the lens pieces, so that light loss due to reflection from the surfaces of the lens pieces is decreased and that stray light due to the reflection from the surfaces of the lens pieces is prevented from causing a reduction in image contrast. 
         [0093]    An alternative infrared lens in the second aspect of the invention meets a requirement as defined in the following formula: 
         [0000]      0.9&lt;| r 4|/ f    (11)
 
         [0000]    where f is a focal length of the IR lens, and r 4  is a curvature of a front surface of the lens piece closest to an object in the second lens group. 
         [0094]    The requirement in the formula (11) gives a limit within which the IR lens compensates for spherical aberration to an acceptable level. When the IR lens does not meet the requirement in the formula, adverse effects of the spherical aberration are more conspicuous. 
         [0095]    Alternatively, the infrared lens in the second aspect of the invention may meet requirements as defined in the following formulae: 
         [0000]      0.5&lt;(| r 4|+ d 4)/| r 5|&lt;0.86   (12)
 
         [0000]    where r 4  is a curvature of a front surface of the lens piece closest to an object in the second lens group, r 5  is a rear surface of the lens piece closest to an imaging plane in the second lens group, and d 4  is a thickness of the second lens group. 
         [0096]    The formulae (12) provide limits within which the IR lens compensates for spherical aberration to an acceptable level. When the IR lens does not meet the requirements in the formulae, adverse effects of the spherical aberration are more conspicuous. 
         [0097]    The infrared lens in the second aspect of the invention may alternatively meet requirements as defined in the following formulae: 
         [0000]      1.0&lt; f 1/ f&lt; 1.5   (13)
 
         [0000]    where f is a focal length of the IR lens, and f 1  is the focal length of the first group of lens pieces. 
         [0098]    The formulae (13) provides limits within which the IR lens compensates for comatic aberration to an acceptable level. When the IR lens fails to meet the requirements, adverse effects of the comatic aberration are more conspicuous. 
         [0099]    Further alternatively, the infrared lens in the second aspect of the invention may meet requirements as defined in the following formulae: 
         [0000]      0.2&lt; bf/f 3&lt;0.4   (14)
 
         [0000]    where bf is a back focus of the IR lens, and f 3  is a focal length of the third lens group. 
         [0100]    The formulae (14) provide limits within which the IR lens compensates for comatic aberration to an acceptable level. When the IR lens fails to meet the requirements, adverse effects of the comatic aberration are more conspicuous. 
         [0101]    A yet further alternative infrared lens in the second aspect of the invention has its third group of lens pieces displaced in directions orthogonal to the optical axis so as to compensate for image sway. 
         [0102]    The third lens group is smaller in diameter and lighter than the first lens group, and is more suitably displaced in the directions orthogonal to the optical axis. A driving mechanism for forcedly displacing the third lens group in the directions orthogonal to the optical axis is placed in the middle or hind area of the lens optics, and hence, the IR lens, as a whole, can be advantageously downsized. 
       Best Mode of the Invention in the Third Aspect 
       [0103]    The invention in the third aspect will now be detailed in conjunction with various embodiments of the infrared lens as summarized in the above. 
         [0104]    In the infrared lens, the first to third groups of lens pieces are made of germanium. 
         [0105]    Configured in this manner, the infrared lens, which has its optics reduced in light absorption and given greater refractive power, can create images with adverse effects of chromatic aberration fully corrected, and production of the infrared lens can benefit from stable supply of such a lens material. 
         [0106]    Alternatively, the infrared lens may have the first to third lens groups each of which consists of a single lens piece. 
         [0107]    By virtue of such a single-lens design where the component lens pieces are reduced in number in all the lens groups, a manufacturing cost can be reduced. This single-lens design is also useful to minimize the number of air contact surfaces of the lens pieces, so that light loss due to reflection from the surfaces of the lens pieces is decreased and that stray light due to the reflection from the surfaces of the lens pieces is prevented from causing a reduction in image contrast. 
         [0108]    The infrared lens may meet requirements as defined in the following formulae: 
         [0000]      0.4&lt; d 5/ f 3&lt;0.75   (15)
 
         [0000]    where d 5  is a focal length of the second lens group, and f 3  is the focal length of the third lens group. 
         [0109]    The formulae (15) provides limits within which the IR lens compensates for astigmatism to an acceptable level. When the IR lens fails to meet the requirements in the formulae (15), adverse effects of the astigmatism are more conspicuous. 
         [0110]    Another alternative of the infrared lens in the third aspect of the invention may meet requirements as defined in the following formulae: 
         [0000]      0.6&lt; f 3/ f&lt; 1.3   (16)
 
         [0000]    where f 3  is a focal length of the third lens group, and f is the focal length of the IR lens. 
         [0111]    The formulae (16) provide limits within which the IR lens compensates for astigmatism to an acceptable level. When the IR lens fails to meet the requirements in the formulae (16), adverse effects of the astigmatism are more conspicuous. 
         [0112]    The infrared lens may meet requirements as defined in the following formulae: 
         [0000]      1.0&lt; f 1/ f&lt; 1.5   (17)
 
         [0000]    where f 1  is a focal length of the first lens group while f is the focal length of the IR lens. 
         [0113]    The formulae (17) provide limits within which the IR lens compensate for astigmatism to an acceptable level. When the IR lens fails to meet the requirements, adverse effects of the astigmatism are more conspicuous. 
         [0114]    The infrared lens in the third aspect of the invention may meet requirements as defined in the following formulae: 
         [0000]      0.2&lt; bf/f 3&lt;0.4   (18)
 
         [0000]    where f 3  is a focal length of the third lens group while bf is a back focus of the IR lens. 
         [0115]    The formulae (18) provide limits within which the IR lens compensate for astigmatism to an acceptable level. When the IR lens fails to meet the requirements, adverse effects of the astigmatism are more conspicuous. 
         [0116]    A yet further alternative infrared lens in the first aspect of the invention has its third group of lens pieces displaced in directions orthogonal to the optical axis so as to compensate for image sway. 
         [0117]    The third lens group is smaller in diameter and lighter than the first lens group, and is more suitably displaced in the directions orthogonal to the optical axis. A driving mechanism for forcedly displacing the third lens group in the directions orthogonal to the optical axis is placed in the middle or hind area of the lens optics, and hence, the IR lens, as a whole, can be advantageously downsized. 
       More Details of the Embodiments 
       [0118]    Lens data on each embodiment of the infrared lens according to the present invention will be given below. Wavelength of light transmitted through the IR lens is 10 μm. 
       1. The 1st Embodiment of the IR lens in the 1st Aspect of the Invention 
       [0119]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                 99.95 mm 
               
               
                   
                 Entire Length of the Optics 
                 126.86 mm  
               
               
                   
                 Back Focus 
                 15.95 mm 
               
               
                   
                 F-Number 
                 1.0 
               
               
                   
                 Half-Angle of View 
                 3.17° 
               
               
                   
                 Image Height 
                  5.5 mm 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 97.2692 
                 6.0 
                 56.1 
                 4.0052 
                 104.567 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 2 
                 134.355 
                 57.92 
                 55.9 
               
               
                 S 
                   
                 2.4 
                 21.7 
               
               
                 3 
                 1783.56 
                 4.93 
                 20.7 
                 2.5861 
                 −77.984 
               
               
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                 4 
                 115.472 
                 31.66 
                 19.6 
               
               
                 5 
                 31.5434 
                 8.0 
                 15.1 
                 4.0052 
                 48.7808 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 6 
                 32.5432 
                 4.0 
                 12.2 
               
               
                   
               
               
                 # Surface Number 
               
               
                 R Radius of Curvature 
               
               
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                 r Lens radius 
               
               
                 n Refractive Index 
               
               
                 f Focal Length 
               
               
                 S Aperture Stop 
               
             
          
         
       
     
         [0120]    Given below is a value of the term f/f 1  in the formulae (10) for the first embodiment of the IR lens in the first aspect of the invention. 
         [0000]        f/f 1=0.95585 
       2. The 2nd Embodiment of the IR lens in the 1st Aspect of the Invention 
       [0121]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                 99.94 mm 
               
               
                   
                 Entire Length of the Optics 
                 133.99 mm  
               
               
                   
                 Back Focus 
                 14.98 mm 
               
               
                   
                 F-Number 
                 1.0 
               
               
                   
                 Half-Angle of View 
                 3.15° 
               
               
                   
                 Image Height 
                  5.5 mm 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 122.547 
                 6.2 
                 58.6 
                 4.0052 
                 110.146 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 2 
                 187.2 
                 62.33 
                 58.4 
               
               
                 S 
                   
                 2.4 
                 20.6 
               
               
                 3 
                 −164.46 
                 3.54 
                 20.2 
                 2.5861 
                 −86.691 
               
               
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                 4 
                 849.936 
                 36.54 
                 20.0 
               
               
                 5 
                 38.0357 
                 8.0 
                 15.3 
                 4.0052 
                 41.7968 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 6 
                 45.9462 
                 4.0 
                 13.0 
               
               
                   
               
               
                 # Surface Number 
               
               
                 R Radius of Curvature 
               
               
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                 r Lens radius 
               
               
                 n Refractive Index 
               
               
                 f Focal Length 
               
               
                 S Aperture Stop 
               
             
          
         
       
     
         [0122]    The surfaces #3 and #4 of the second embodiment of the IR lens in the first aspect of the invention are aspherical surfaces as expressed by the following formula: 
         [0000]    
       
         
           
             
               
                 
                   X 
                   = 
                   
                     
                       
                         
                           H 
                           2 
                         
                         / 
                         R 
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               ( 
                               
                                 
                                   kH 
                                   2 
                                 
                                 / 
                                 R 
                               
                               ) 
                             
                           
                         
                       
                     
                     + 
                     
                       AH 
                       4 
                     
                     + 
                     
                       BH 
                       6 
                     
                     + 
                     
                       CH 
                       8 
                     
                   
                 
               
               
                 
                   ( 
                   19 
                   ) 
                 
               
             
           
         
       
     
         [0123]    Given below is an aspherical surface coefficient of the second embodiment of the IR lens in the first aspect of the invention. 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 K 
                 A 
                 B 
                 C 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 3 
                 11.18 
                 −2.6157E−07 
                 1.3647E−09 
                 −6.4802E−13 
               
               
                 4 
                 −133.59 
                 −1.0171E−06 
                 1.3567E−09 
                 −6.5785E−13 
               
               
                   
               
             
          
         
       
     
         [0124]    Given below is a value of the term f/f 1  in the formula (10) for the second embodiment of the IR lens in the first aspect of the invention. 
         [0000]        f/f 1=0.90734 
       3. The 3rd Embodiment of the IR lens in the 1st Aspect of the Invention 
       [0125]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                 99.97 mm 
               
               
                   
                 Entire Length of the Optics 
                 134.23 mm  
               
               
                   
                 Back Focus 
                 15.99 mm 
               
               
                   
                 F-Number 
                 1.03 
               
               
                   
                 Half-Angle of View 
                 3.16° 
               
               
                   
                 Image Height 
                  5.5 mm 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 122.56 
                 7.4 
                 48.6 
                 4.0052 
                 118.61 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 2 
                 178.322 
                 7.05 
                 47.4 
               
               
                 S 
                   
                 45.29 
                 47.0 
               
               
                 3 
                 −247.09 
                 5.2 
                 30.3 
                 2.5861 
                 −278.32 
               
               
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                 4 
                 −565.88 
                 49.2 
                 30.2 
               
               
                 5 
                 26.1384 
                 4.1 
                 14.3 
                 4.0052 
                 67.2485 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 6 
                 26.4879 
                 4.0 
                 12.6 
               
               
                   
               
               
                 # Surface Number 
               
               
                 R Radius of Curvature 
               
               
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                 r Lens radius 
               
               
                 n Refractive Index 
               
               
                 f Focal Length 
               
               
                 S Aperture Stop 
               
             
          
         
       
     
         [0126]    Given below is an aspherical surface coefficient of the third embodiment of the IR lens in the first aspect of the invention: 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 K 
                 A 
                 B 
                 C 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 3 
                 41.052 
                 −1.2762E−06 
                 9.5458E−10 
                 −1.1180E−13 
               
               
                 4 
                 235.153 
                 −1.6921E−06 
                 1.0090E−09 
                 −1.9671E−13 
               
               
                   
               
             
          
         
       
     
         [0127]    The surface #4 of the third embodiment of the IR lens in the first aspect of the invention is a diffractive optical element (DOE) surface as expressed by the following DOE formula: 
         [0000]      Ø( H )= C 1× H   2   +C 2× H   4   +C 3× H   6    (20)
 
         [0128]    Given below is a DOE coefficient of the surface #4 of the third embodiment of the IR lens in the first aspect of the invention: 
         [0000]    
       
         
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 C1 
                 C2 
                 C3 
               
               
                   
                   
               
             
             
               
                   
                 4 
                 −1.5364E−05 
                 1.7070E−09 
                 8.6709E−13 
               
               
                   
                   
               
             
          
         
       
     
         [0129]    Given below is a value of the term f/f 1  in the formula (10) for the third embodiment of the IR lens in the first aspect of the invention. 
         [0000]        f/f 1=0.84285 
       4. The 4th Embodiment of the IR lens in the 1st Aspect of the Invention 
       [0130]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                  99.97 mm 
               
               
                   
                 Entire Length of the Optics 
                 134.30 mm 
               
               
                   
                 Back Focus 
                  16.06 mm 
               
               
                   
                 F-Number 
                 1.03 
               
               
                   
                 Half-Angle of View 
                 3.16° 
               
               
                   
                 Image Height 
                   5.5 mm 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 1 
                 122.56 
                 7.4 
                 48.6 
                 4.0052 
                  118.61 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 2 
                 178.322 
                 7.1 
                 47.4 
               
               
                   
                 3S 
                   
                 45.3 
                 47.0 
               
               
                   
                 4 
                 −247.09 
                 5.2 
                 30.3 
                 2.5861 
                 −279.32 
               
               
                   
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                   
                 5 
                 −565.88 
                 49.2 
                 30.2 
               
               
                   
                 6 
                 26.1384 
                 4.1 
                 14.3 
                 4.0052 
                  67.2485 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 7 
                 26.4879 
                 4.0 
                 12.6 
               
               
                   
                   
               
               
                   
                 # Surface Number 
               
               
                   
                 R Radius of Curvature 
               
               
                   
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                   
                 r Lens radius 
               
               
                   
                 n Refractive Index 
               
               
                   
                 f Focal Length 
               
               
                   
                 S Aperture Stop 
               
             
          
         
       
     
         [0131]    Given below is an aspherical surface coefficient of the fourth embodiment of the IR lens in the first aspect of the invention: 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 K 
                 A 
                 B 
                 C 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 3 
                 41.092 
                 −1.2135E−06 
                 8.6047E−10 
                 −6.3565E−14 
               
               
                 4 
                 237.001 
                 −1.6278E−06 
                 9.1084E−10 
                 −1.4261E−13 
               
               
                   
               
             
          
         
       
     
         [0132]    Given below is a value of the term f/f 1  in the formula (10) for the fourth embodiment of the IR lens in the first aspect of the invention: 
         [0000]        f/f 1=0.84285 
       5. The 5th Embodiment of the IR Lens in the 1st Aspect of the Invention 
       [0133]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                  99.91 mm 
               
               
                   
                 Entire Length of the Optics 
                 128.90 mm 
               
               
                   
                 Back Focus 
                  12.77 mm 
               
               
                   
                 F-Number 
                 0.91 
               
               
                   
                 Half-Angle of View 
                 3.14° 
               
               
                   
                 Image Height 
                   5.5 mm 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 115.567 
                 6.9 
                 63.0 
                 4.0052 
                 102.653 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 2 
                 176.492 
                 58.9 
                 63.0 
               
               
                 3S 
                   
                 2.4 
                 21.0 
               
               
                 4 
                 −167.43 
                 4.91 
                 21.5 
                 2.5861 
                 −79.815 
               
               
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                 5 
                 528.426 
                 35.3124 
                 20.832 
               
               
                 6 
                 35.2129 
                 7.7 
                 14.3 
                 4.0052 
                  40.2048( 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 7 
                 41.5215 
                 4.0 
                 11.9 
               
               
                   
               
               
                 # Surface Number 
               
               
                 R Radius of Curvature 
               
               
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                 r Lens radius 
               
               
                 n Refractive Index 
               
               
                 f Focal Length 
               
               
                 S Aperture Stop 
               
             
          
         
       
     
         [0134]    Given below is an aspherical surface coefficient of the fifth embodiment of the IR lens in the first aspect of the invention: 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 K 
                 A 
                 B 
                 C 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 3 
                 6.589 
                 2.5359E−08 
                 5.2297E−10 
                 −1.3297E−13 
               
               
                 4 
                 −1486.6 
                 1.4375E−07 
                 −3.1084E−10 
                 4.1217E−13 
               
               
                   
               
             
          
         
       
     
         [0135]    Given below is a DOE coefficient of the surface #3 of the fifth embodiment of the IR lens in the first aspect of the invention: 
         [0000]    
       
         
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 C1 
                 C2 
                 C3 
               
               
                   
                   
               
             
             
               
                   
                 3 
                 5.8600E−05 
                 1.4624E−07 
                 −2.1360E−10 
               
               
                   
                   
               
             
          
         
       
     
         [0136]    Given below is a value of the term f/f 1  in the formula (10) for the fifth embodiment of the IR lens in the first aspect of the invention: 
         [0000]        f/f 1=0.97328 
       6. The 1st Embodiment of the IR lens in the 2nd Aspect of the Invention 
       [0137]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                 50.0 mm 
               
               
                   
                 Entire Length of the Optics 
                 99.21 mm  
               
               
                   
                 Back Focus 
                 8.91 mm 
               
               
                   
                 F-Number 
                 1.4 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 50.4506 
                 3.5 
                 19.9 
                 4.0032 
                  58.25383 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 2 
                 67.2052 
                 15.0 
                 19.2 
               
               
                 3S 
                   
                 50.54 
                 13.0 
               
               
                 4 
                 −47.1008 
                 6.0 
                 9.5 
                 4.0032 
                 −83.2086 
               
               
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                 5 
                 −63.5872 
                 10.2 
                 20.832 
               
               
                 6 
                 30.5063 
                 4.5 
                 9.6 
                 4.0032 
                  30.38597 
               
               
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                 7 
                 40.7545 
                 8.91 
                 8.6 
               
               
                   
               
               
                 # Surface Number 
               
               
                 R Radius of Curvature 
               
               
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                 r Lens radius 
               
               
                 n Refractive Index 
               
               
                 f Focal Length 
               
               
                 S Aperture Stop 
               
             
          
         
       
     
         [0138]    Given below are values of the term |r 4 |/f in the formula (11), the term (|r 4 |+d 4 )/|r 5 | in the formula (12), the term f 1 /f in the formula (13), and the term bf/f 3  in the formula (14) for the first embodiment of the IR lens in the second aspect of the invention: 
         [0000]      | r 4|/ f= 0.942016 
         [0000]      (| r 4|+ d 4)/| r 5|=0.835086 
         [0000]        f 1/ f= 1.165077 
         [0000]        bf/f 3=0.293227 
       7. The 2nd Embodiment of the IR Lens in the 2nd Aspect of the Invention 
       [0139]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                  50.0 mm 
               
               
                   
                 Entire Length of the Optics 
                 68.03 mm 
               
               
                   
                 Back Focus 
                 8.261 mm 
               
               
                   
                 F-Number 
                 1.4 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 1 
                 54.344 
                 2.8 
                 18.2 
                 4.0032 
                  57.44527 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 2 
                 76.268 
                 4.0 
                 17.7 
               
               
                   
                 3S 
                   
                 27.71 
                 16.75 
               
               
                   
                 4 
                 −109.423 
                 5.0 
                 10.9 
                 4.0032 
                 −83.9773 
               
               
                   
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                   
                 5 
                 −199.911 
                 16.26 
                 11.2 
               
               
                   
                 6 
                 24.6746 
                 4.0 
                 9.7 
                 4.0032 
                  30.9991 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 7 
                 29.4899 
                 8.26 
                 8.6 
               
               
                   
                   
               
               
                   
                 # Surface Number 
               
               
                   
                 R Radius of Curvature 
               
               
                   
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                   
                 r Lens radius 
               
               
                   
                 n Refractive Index 
               
               
                   
                 f Focal Length 
               
               
                   
                 S Aperture Stop 
               
             
          
         
       
     
         [0140]    Given below are values of the term |r 4 |/f in the formula (11), the term (|r 4 |+d 4 )/|r 5 | in the formula (12), the term f 1 /f in the formula (13), and the term bf/f 3  in the formula (14) for the first embodiment of the IR lens in the second aspect of the invention: 
         [0000]      | r 4|/ f= 2.188468 
         [0000]      (| r 4|+ d 4)/| r 5|=0.572373 
         [0000]        f 1/ f= 1.148905 
         [0000]        bf/f 3=0.266459 
       8. The 1st Embodiment of the IR Lens in the 3rd Aspect of the Invention 
       [0141]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                  24.98 mm 
               
               
                   
                 Entire Length of the Optics 
                 48.046 mm 
               
               
                   
                 Back Focus 
                   8.5 mm 
               
               
                   
                 F-Number 
                 1.39 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 1 
                 66.5086 
                 1.9 
                 9.49 
                 4.003 
                  33.7846 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 2 
                 188.947 
                 1.724 
                 9.26 
               
               
                   
                 3S 
                   
                 4.0 
                 8.4 
               
               
                   
                 4 
                 −17.487 
                 5.2 
                 8.33 
                 4.003 
                 1264.47 
               
               
                   
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                   
                 5 
                 −21.29 
                 22.722 
                 10.16 
               
               
                   
                 6 
                 21.9633 
                 4.0 
                 9.01 
                 4.003 
                  31.8575 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 7 
                 24.6132 
                 4.0 
                 7.86 
               
               
                   
                   
               
               
                   
                 # Surface Number 
               
               
                   
                 R Radius of Curvature 
               
               
                   
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                   
                 r Lens radius 
               
               
                   
                 n Refractive Index 
               
               
                   
                 f Focal Length 
               
               
                   
                 S Aperture Stop 
               
             
          
         
       
     
         [0142]    Given below are values of the term d 5 /f 3  in the formula (15), the term f 3 /f in the formula (16), the term f 1 /f in the formula (17), and the term bf/f 3  in the formula (18) for the first embodiment of the IR lens in the second aspect of the invention: 
         [0000]        d 5 /f 3=0.71324 
         [0000]        f 3/ f= 1.27532 
         [0000]        f 1/ f= 1.35138 
         [0000]        bf/f 3=0.26681 
       9. The 2nd Embodiment of the IR Lens in the 3rd Aspect of the Invention 
       [0143]      
         [0000]    
       
         
               
               
               
             
           
               
                   
                   
               
             
             
               
                   
                 Focal Length 
                  34.99 mm 
               
               
                   
                 Entire Length of the Optics 
                 58.9564 mm 
               
               
                   
                 Back Focus 
                 9.25644 mm 
               
               
                   
                 F-Number 
                 1.37 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                   
                   
               
               
                   
                 # 
                 R 
                 d 
                 r 
                 n 
                 f 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 1 
                 52.2813 
                 2.5 
                 14.02 
                 4.003 
                  48.6067 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 2 
                 78.5354 
                 7.0 
                 13.58 
               
               
                   
                 3S 
                   
                 16.817 
                 10.52 
               
               
                   
                 4 
                 −18.526 
                 5.0 
                 9.46 
                 4.003 
                 4523.89 
               
               
                   
                   
                   
                   
                   
                   
                 (Chalcogenide) 
               
               
                   
                 5 
                 −22.246 
                 14.383 
                 11.31 
               
               
                   
                 6 
                 24.747 
                 4.0 
                 9.77 
                 4.003 
                  30.8599 
               
               
                   
                   
                   
                   
                   
                   
                 (Germanium) 
               
               
                   
                 7 
                 29.669 
                 4.0 
                 8.66 
               
               
                   
                   
               
               
                   
                 # Surface Number 
               
               
                   
                 R Radius of Curvature 
               
               
                   
                 d Lens Thickness or Distance between the Adjacent Surfaces 
               
               
                   
                 r Lens radius 
               
               
                   
                 n Refractive Index 
               
               
                   
                 f Focal Length 
               
               
                   
                 S Aperture Stop 
               
             
          
         
       
     
         [0144]    Given below are values of the term d 5 /f 3  in the formula (15), the term f 3 /f in the formula (16), the term f 1 /f in the formula (17), and the term bf/f 3  in the formula (18) for the first embodiment of the IR lens in the second aspect of the invention: 
         [0000]        d 5/ f 3=0.46607 
         [0000]        f 3/ f= 0.88196 
         [0000]        f 1/ f= 1.38879 
         [0000]        bf/f 3=0.29995