I lllll llllllll Ill lllll lllll lllll lllll lllll 111111111111111111111111111111111
`US009857568B2
`
`c12) United States Patent
`Dror et al.
`
`(IO) Patent No.:
`(45) Date of Patent:
`
`US 9,857,568 B2
`Jan.2,2018
`
`(52) U.S. Cl.
`CPC ......... G02B 1310045 (2013.01); G02B 11041
`(2013.01); G02B 9160 (2013.01); G02B 13102
`(2013.01); G02B 2710025 (2013.01); G02B
`271646 (2013.01); H04N 2101100 (2013.01);
`YlOT 2914913 (2015.01)
`(58) Field of Classification Search
`CPC .. G02B 13/0045; G02B 9160; G02B 27/0025;
`G02B 5/005; G02B 13/02; G02B 1/041;
`G02B 13/002; G02B 9100; G02B 27/646;
`H04N 2101/00; YlOT 29/4913
`USPC ......................... 3591714, 739, 740, 763, 764
`See application file for complete search history.
`
`(56)
`
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`9,402,032 B2 *
`9,568,712 B2 *
`2009/0185289 Al*
`
`7/2016 Dror
`212017 Dror
`712009 Do
`
`2011/0115965 Al*
`
`5/2011 Engelhardt
`
`(Continued)
`
`G02B 9/60
`G02B 9/60
`G02B 9/12
`3591716
`G02B 13/004
`3591715
`
`Primary Examiner - Evelyn A Lester
`(74) Attorney, Agent, or Firm - Nathan & Associates
`Patent Agents Ltd.; Menachem Nathan
`
`(57)
`
`ABSTRACT
`
`An optical lens assembly includes five lens elements and
`provides a TTL/EFL<l .O. In an embodiment, the focal
`length of the first lens element fl <TTL/2, an air gap between
`first and second lens elements is smaller than half the second
`lens element thickness, an air gap between the third and
`fourth lens elements is greater than TTL/5 and an air gap
`between the fourth and fifth lens elements is smaller than
`about 1.5 times the fifth lens element thickness. All lens
`elements may be aspheric.
`
`5 Claims, 6 Drawing Sheets
`
`)00
`,,,.
`
`(54) MINIATURE TELEPHOTO LENS ASSEMBLY
`
`(71) Applicant: Corephotonics Ltd., Tel-Aviv (IL)
`
`(72)
`
`Inventors: Michael Dror, Nes Ziona (IL);
`Ephraim Goldenberg, Ashdod (IL);
`Gal Shabtay, Tel Aviv (IL)
`
`(73) Assignee: Corephotonics Ltd., Tel Aviv (IL)
`
`( *) Notice:
`
`Subject to any disclaimer, the term ofthis
`patent is extended or adjusted under 35
`U.S.C. 154(b) by 0 days.
`
`(21) Appl. No.: 15/418,925
`
`(22) Filed:
`
`Jan. 30, 2017
`
`(65)
`
`Prior Publication Data
`
`US 2017/0146777 Al May 25, 2017
`
`Related U.S. Application Data
`
`(63)
`
`Continuation-in-part of application No. 15/170,472,
`filed on Jun. 1, 2016, now Pat. No. 9,568,712, which
`is a continuation of application No. 14/932,319, filed
`on Nov. 4, 2015, now Pat. No. 9,402,032, which is a
`continuation of application No. 14/367,924, filed as
`application No. PCT/IB2014/062465 on Jun. 20,
`2014, now abandoned.
`
`(60)
`
`Provisional application No. 61/842,987, filed on Jul.
`4, 2013.
`
`(51)
`
`Int. Cl.
`G02B 9160
`G02B 13118
`G02B 13100
`G02B 13102
`G02B 27100
`G02B 1104
`G02B 27164
`H04N 101100
`
`(2006.01)
`(2006.01)
`(2006.01)
`(2006.01)
`(2006.01)
`(2006.01)
`(2006.01)
`(2006.01)
`
`x
`
`/,,..,.
`
`102a-/
`
`Apple v. Corephotonics
`
`Page 1 of 12
`
`Apple Ex. 1001
`
`

`

`US 9,857,568 B2
`Page 2
`
`(56)
`
`References Cited
`
`U.S. PATENT DOCUMENTS
`
`2011/0249346 Al * 10/2011 Tang
`
`2011/0261470 Al* 10/2011 Chen.
`
`2011/0279910 Al * 1112011 Tang
`
`2012/0086848 Al*
`
`412012 Tsai
`
`2014/0098428 Al*
`
`4/2014 Shinohara .
`
`2015/0029601 Al *
`
`1/2015 Dror
`
`2015/0146076 Al*
`
`512015 Ohtsu
`
`* cited by examiner
`
`G02B 13/0045
`359/764
`G02B 13/004
`3591715
`G02B 13/0035
`3591716
`G02B 9/34
`3591715
`G02B 9/60
`3591714
`G02B 9/60
`359/764
`G02B 9/60
`348/340
`
`Apple v. Corephotonics
`
`Page 2 of 12
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`Apple Ex. 1001
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 1 of 6
`
`US 9,857,568 B2
`
`x
`
`110
`'
`
`100
`
`z
`~-+t---·-- ········- ...... ·········--·················--·················- ............... -···· ············-· ......... ····-···················-·•
`L11
`
`--'----106b
`
`L1e
`
`\
`\
`
`I :
`\
`\
`/
`\104b
`\
`!
`\ 1048
`'102b
`
`\
`
`FIG. 1A
`
`Apple v. Corephotonics
`
`Page 3 of 12
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 2 of 6
`
`US 9,857,568 B2
`
`1.0
`0.9
`LL. 0.8
`I-
`0
`0.7
`Q)
`
`0
`
`..
`TS 0°
`~ l TS 10°
`' ...
`... '
`... ,
`f 1• I . '
`
`. , . i
`
`l c l I
`
`.J::. - 0.6
`-
`"' 0.5
`.::! 0.4
`:::l
`"O
`0 0.3
`:a;
`0.2
`0.1
`0.0
`-0.05
`
`TS 18°
`: i
`. '
`. '
`
`-0.04
`
`-0.03
`
`-0.02
`
`0.01
`0
`-0.01
`Focus shift (mm)
`Polychromatic Diffraction Through Focus MTF
`Angle 6/2/2013
`Data for 0.4350 to 0.6560 µm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`Distortion (centroid)
`
`-2.000
`
`30106/2013
`Maximum distortion = 1.3%
`
`0.000
`Distortion(%)
`
`0.02
`
`0.03
`
`0.04
`
`0.05
`
`FIG. 18
`
`22.000
`19.800
`17.600
`
`15.400
`
`13.200 °' Q)
`
`11.000 ~
`"O
`(ii
`8.800
`ii:
`6.600
`
`4.400
`
`2.200
`
`2.0000.000
`
`FIG. 1C
`
`Apple v. Corephotonics
`
`Page 4 of 12
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 3 of 6
`
`US 9,857,568 B2
`
`210
`l
`./
`
`208
`j
`
`/
`
`I
`
`202
`1 204
`206
`/
`I
`i
`f
`./
`( 206a /.
`
`I
`
`}
`
`I
`
`202a-/·
`
`FIG. 2A
`
`Apple v. Corephotonics
`
`Page 5 of 12
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`Apple Ex. 1001
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 4 of 6
`
`US 9,857,568 B2
`
`"("$ 18°
`'' : :
`'. '. : :
`
`0.01
`0
`Focus shift {mm)
`Polychromatic Diffraction Through Focus MTF
`Angle 6/2/2013
`Data for 0.4350 to 0.6560 µm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`Distortion (centroid)
`
`0.02
`
`0.03
`
`0.04
`
`0.05
`
`FIG. 28
`
`22.000
`19.800
`17.600
`
`15.400
`
`13.200 -O>
`
`<1'
`11.000 ~
`"O
`.~
`8.800
`LL
`6.600
`
`-2.000
`
`30/06/2013
`Maximum distortion = 1.5%
`
`0.000
`Distortion (%)
`
`4.400
`
`2.200
`
`2.0000.000
`
`FIG. 2C
`
`Apple v. Corephotonics
`
`Page 6 of 12
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`Apple Ex. 1001
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 5 of 6
`
`US 9,857,568 B2
`
`300
`,;../
`
`310
`
`308
`
`,
`312,_,--, (
`j ...
`314/
`
`FIG. 3A
`
`Apple v. Corephotonics
`
`Page 7 of 12
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`Apple Ex. 1001
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`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 6 of 6
`
`US 9,857,568 B2
`
`TS20°
`
`0.014 0.028 0.042 0.056 0.07
`0
`Focus shift (mm)
`Polychromatic Diffraction Through Focus MTF
`Angle 6/9/2013
`Data for 0.4350 to 0.6560 µm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`FIG. 38
`
`Distortion (centroid)
`
`22.000
`19.800
`17.600
`
`15.400
`
`13.200 -C>
`
`Cl)
`
`-2.000
`
`0.000
`Distortion (%)
`
`30/06/2013
`Maximum distortion = 1.3%
`
`11.000 ~
`"C
`-a;
`8.800
`u:::
`6.600
`
`4.400
`
`2.200
`
`2.0000.000
`
`FIG. 3C
`
`Apple v. Corephotonics
`
`Page 8 of 12
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`

`US 9,857,568 B2
`
`1
`MINIATURE TELEPHOTO LENS ASSEMBLY
`
`CROSS REFERENCE TO RELATED
`APPLICATIONS
`
`This application is a Continuation in Part (CIP) applica(cid:173)
`tion of U.S. patent application Ser. No. 15/170,472 filed Jun.
`1, 2016, which was a Continuation application of U.S. patent
`application Ser. No. 14/932,319 filed Nov. 4, 2015, which
`was a Continuation application of U.S. patent application
`Ser. No. 14/367,924 filed Jun. 22, 2014, which was a 371 of
`international application PCT/IB2014/062465 filed Jun. 20,
`2014, and is related to and claims priority from U.S.
`Provisional Patent Application No. 61/842,987 filed Jul. 4,
`2013, which is incorporated herein by reference in its
`entirety.
`
`FIELD
`
`Embodiments disclosed herein relate to an optical lens
`system and lens assembly, and more particularly, to a
`miniature telephoto lens assembly included in such a system
`and used in a portable electronic product such as a cell(cid:173)
`phone.
`
`BACKGROUND
`
`Digital camera modules are currently being incorporated
`into a variety of host devices. Such host devices include 30
`cellular telephones, personal data assistants (PDAs), com(cid:173)
`puters, and so forth. Consumer demand for digital camera
`modules in host devices continues to grow. Cameras in
`cellphone devices in particular require a compact imaging
`lens system for good quality imaging and with a small total 35
`track length (TTL). Conventional lens assemblies compris(cid:173)
`ing four lens elements are no longer sufficient for good
`quality imaging in such devices. The latest lens assembly
`designs, e.g. as in U.S. Pat. No. 8,395,851, use five lens
`elements. However, the design in U.S. Pat. No. 8,395,851 40
`suffers from at least the fact that the TTL/EFL (effective
`focal length) ratio is too large.
`Therefore, a need exists in the art for a five lens element
`optical lens assembly that can provide a small TTL/EFL
`ratio and better image quality than existing lens assemblies. 45
`
`SUMMARY
`
`2
`The effective focal length of the lens assembly is marked
`"EFL" and the total track length on an optical axis between
`the object-side surface of the first lens element and the
`electronic sensor is marked "TTL". In all embodiments,
`5 TTL is smaller than the EFL, i.e. the TTL/EFL ratio is
`smaller than 1.0. In some embodiments, the TTL/EFL ratio
`is smaller than 0.9. In an embodiment, the TTL/EFL ratio is
`about 0.85. In all embodiments, the lens assembly has an F
`number F#<3.2. In an embodiment, the focal length of the
`10 first lens element fl is smaller than TTL/2, the first, third and
`fifth lens elements have each an Abbe number ("Vd")
`greater than 50, the second and fourth lens elements have
`each an Abbe number smaller than 30, the first air gap is
`smaller than d2/2, the third air gap is greater than TTL/5 and
`15 the fourth air gap is smaller than 1.5d5 . In some embodi(cid:173)
`ments, the surfaces of the lens elements may be aspheric.
`In an optical lens assembly disclosed herein, the first lens
`element with positive refractive power allows the TTL of the
`lens system to be favorably reduced. The combined design
`20 of the first, second and third lens elements plus the relative
`short distances between them enable a long EFL and a short
`TTL. The same combination, together with the high disper(cid:173)
`sion (low V d) for the second lens element and low disper(cid:173)
`sion (high V d) for the first and third lens elements, also helps
`25 to reduce chromatic aberration. In particular, the ratio TTL/
`EFL<l.O and minimal chromatic aberration are obtained by
`fulfilling the relationship 1.2xlf31>1f21>1.5xfl, where "f'
`indicates the lens element effective focal length and the
`numerals 1, 2, 3, 4, 5 indicate the lens element number.
`The conditions TTL/EFL<l.O and F#<3.2 can lead to a
`large ratio Lll/Lle (e.g. larger than 4) between the largest
`width (thickness) Lil and the smallest width (thickness) of
`the first lens element (facing the object) Lie. The largest
`width is along the optical axis and the smallest width is of
`a flat circumferential edge of the lens element. Lll and Lie
`are shown in each of elements 102, 202 and 302. A large
`Lll/Lle ratio (e.g. >4) impacts negatively the manufactur(cid:173)
`ability of the lens and its quality. Advantageously, the
`present inventors have succeeded in designing the first lens
`element to have a Lll/Lle ratio smaller than 4, smaller than
`3.5, smaller than 3.2, smaller than 3.1 (respectively 3.01 for
`element 102 and 3.08 for element 302) and even smaller
`than 3.0 (2.916 for element 202). The significant reduction
`in the Lll/Lle ratio improves the manufacturability and
`increases the quality of lens assemblies disclosed herein.
`The relatively large distance between the third and the
`fourth lens elements plus the combined design of the fourth
`and fifth lens elements assist in bringing all fields' focal
`points to the image plane. Also, because the fourth and fifth
`50 lens elements have different dispersions and have respec(cid:173)
`tively positive and negative power, they help in minimizing
`chromatic aberration.
`
`Embodiments disclosed herein refer to an optical lens
`assembly comprising, in order from an object side to an
`image side: a first lens element with positive refractive
`power having a convex object-side surface, a second lens
`element with negative refractive power having a thickness
`d2 on an optical axis and separated from the first lens
`element by a first air gap, a third lens element with negative 55
`refractive power and separated from the second lens element
`by a second air gap, a fourth lens element having a positive
`refractive power and separated from the third lens element
`by a third air gap, and a fifth lens element having a negative
`refractive power, separated from the fourth lens element by 60
`a fourth air gap, the fifth lens element having a thickness d5
`on the optical axis.
`An optical lens system incorporating the lens assembly
`may further include a stop positioned before the first lens
`element, a glass window disposed between the image-side 65
`surface of the fifth lens element and an image sensor with an
`image plane on which an image of the object is formed.
`
`BRIEF DESCRIPTION OF THE DRAWINGS
`
`FIG. lA shows a first embodiment of an optical lens
`system disclosed herein;
`FIG. lB shows the modulus of the optical transfer func(cid:173)
`tion (MTF) vs. focus shift of the entire optical lens assembly
`for various fields in the first embodiment;
`FIG. lC shows the distortion vs. field angle ( + Y direction)
`in percent in the first embodiment;
`FIG. 2A shows a second embodiment of an optical lens
`system disclosed herein;
`FIG. 2B shows the MTF vs. focus shift of the entire
`optical lens assembly for various fields in the second
`embodiment;
`
`Apple v. Corephotonics
`
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`

`US 9,857,568 B2
`
`3
`FIG. 2C shows the distortion +Yin percent in the second
`embodiment;
`FIG. 3A shows a third embodiment of an optical lens
`system disclosed herein;
`FIG. 3B shows the MTF vs. focus shift of the entire
`optical lens system for various fields in the third embodi(cid:173)
`ment;
`FIG. 3C shows the distortion + Y in percent in the third
`embodiment.
`
`DETAILED DESCRIPTION
`
`In the following description, the shape (convex or con(cid:173)
`cave) of a lens element surface is defined as viewed from the
`r~spective side (i.e. from an object side or from an image
`side). FIG. lA shows a first embodiment of an optical lens
`system disclosed herein and marked 100. FIG. lB shows the
`MTF vs. focus shift of the entire optical lens system for
`various fields in embodiment 100. FIG. lC shows the
`distortion + Y in percent vs. field. Embodiment 100 com(cid:173)
`prises in order from an object side to an image side: an
`optional stop 101; a first plastic lens element 102 with
`positive refractive power having a convex object-side sur(cid:173)
`face 102a and~ convex or concave image-side surface 102b;
`a second plastic lens element 104 with negative refractive
`power and having a meniscus convex object-side surface
`104a, with an image side surface marked 104b· a third
`plastic lens element 106 with negative refracti;e power
`having a concave object-side surface 106a with an inflection
`point and a concave image-side surface 106b; a fourth
`plastic lens element 108 with positive refractive power
`having a positive meniscus, with a concave object-side
`surface marked 108a and an image-side surface marked
`l08b; and a fifth plastic lens element 110 with negative
`refractive power having a negative meniscus, with a concave
`object-side surface marked llOa and an image-side surface
`marked llOb. The optical lens system further comprises an
`optional glass window 112 disposed between the image-side
`surface llOb of fifth lens element 110 and an image plane
`114 for image formation of an object. Moreover, an image
`sensor (not shown) is disposed at image plane 114 for the
`image formation.
`lens element surfaces are
`In embodiment 100, all
`aspheric. Detailed optical data is given in Table 1, and the
`aspheric surface data is given in Table 2, wherein the units
`of the radius of curvature (R), lens element thickness and/or
`distances between elements along the optical axis and diam(cid:173)
`eter are expressed in mm "Nd" is the refraction index. The
`equation of the aspheric surface profiles is expressed by:
`
`10
`
`15
`
`20
`
`25
`
`30
`
`35
`
`40
`
`45
`
`4
`
`where r is distance from (and perpendicular to) the optical
`axis, k is the conic coefficient, c=l/R where R is the radius
`of curvature, and a are coefficients given in Table 2. In the
`equation above as applied to embodiments of a lens assem(cid:173)
`bly disclosed herein, coefficients a 1 and a 7 are zero. Note
`that the maximum value of r "max r"=Diameter/2. Also note
`that Table 1 (and in Tables 3 and 5 below), the distances
`between various elements (and/or surfaces) are marked
`"Lmn" (where m refers to the lens element number n=l
`refers to the element thickness and n=2 refers to the air gap
`to the next element) and are measured on the optical axis z
`wherein the stop is at z=O. Each number is measured fro~
`the previous surface. Thus, the first distance -0.466 mm is
`measured from the stop to surface 102a, the distance Lll
`from surface 102a to surface 102b (i.e. the thickness of first
`lens element 102) is 0.894 mm, the gap L12 between
`surfaces 102b and 104a is 0.020 mm, the distance L21
`between surfaces 104a and 104b (i.e. thickness d2 of second
`lens element 104) is 0.246 mm, etc. Also, L2l=d2 and
`L5l=d5 . Lil for lens element 102 is indicated in FIG. lA.
`Also indicated in FIG. lA is a width Lie of a flat circum(cid:173)
`ferential edge (or surface) oflens element 102. Lil and Lie
`are also indicated for each of first lens elements 202 and 302
`in, respectively, embodiments 200 (FIG. 2A) and 300 (FIG.
`3A).
`
`TABLE 1
`
`# Comment
`
`Radius R Distances
`[mm]
`[mm]
`
`Nd/Vd
`
`Diameter
`[mm]
`
`Stop
`2 Lll
`L12
`4 L21
`L22
`L31
`7 L32
`L41
`9 L42
`10 L51
`11 L52
`12 Window
`13
`
`Infinite
`1.5800
`-11.2003
`33.8670
`3.2281
`-12.2843
`7.7138
`-2.3755
`-1.8801
`-1.8100
`-5.2768
`Infinite
`Infinite
`
`-0.466
`0.894
`0.020
`0.246
`0.449
`0.290
`2.020
`0.597
`0.068
`0.293
`0.617
`0.210
`0.200
`
`1.5345/57.095
`
`1.63549/23.91
`
`1.5345/57.095
`
`1.63549/23.91
`
`1.5345/57.095
`
`1.5168/64.17
`
`2.4
`2.5
`2.4
`2.2
`1.9
`1.9
`1.8
`3.3
`3.6
`3.9
`4.3
`3.0
`3.0
`
`TABLE 2
`
`Conic
`coefficient
`k
`
`-0.4668
`-9.8525
`10.7569
`1.4395
`0.0000
`-9.8953
`0.9938
`-6.8097
`-7.3161
`0.0000
`
`#
`
`2
`
`4
`
`7
`
`9
`10
`11
`
`a2
`
`U3
`
`U4
`
`U5
`
`a6
`
`7.9218E-03
`2.0102E-02
`-1.9248E-03
`5.1029E-03
`2.1629E-01
`2.3297E-01
`-1.3522E-02
`-1.0654E-01
`-1.8636E-01
`-1.1927E-01
`
`2.3146E-02
`2.0647E-04
`8.6003E-02
`2.4578E-01
`4.0134E-02
`8.2917E-02
`-7.0395E-03
`1.2933E-02
`8.3105E-02
`7.0245E-02
`
`-3.3436E-02
`7.4394E-03
`1.1676E-02
`-1.7734E-01
`1.3615E-02
`-1.2725E-01
`1.4569E-02
`2.9548E-04
`-1.8632E-02
`-2.0735E-02
`
`2.3650E-02
`-1.7529E-02
`-4.0607E-02
`2.9848E-01
`2.5914E-03
`1.5691E-01
`-1.5336E-02
`-1.8317E-03
`2.4012E-03
`2.6418E-03
`
`-9.2437E-03
`4.5206E-03
`1.3545E-02
`-1.3320E-01
`-1.2292E-02
`-5.9624E-02
`4.3707E-03
`5.0lllE-04
`-1.2816E-04
`-1.1576E-04
`
`Apple v. Corephotonics
`
`Page 10 of 12
`
`Apple Ex. 1001
`
`

`

`US 9,857,568 B2
`
`5
`Embodiment 100 provides a field of view (FOY) of 44
`degrees, with EFL=6.90 mm, F#=2.80 and TTL of 5.904
`mm Thus and advantageously, the ratio TTL/EFL=0.855.
`Advantageously, the Abbe number of the first, third and fifth
`lens element is 57.095. Advantageously, the first air gap 5
`between lens elements 102 and 104 (the gap between
`surfaces 102b and 104a) has a thickness (0.020 mm) which
`is less than a tenth of thickness d2 (0.246 mm). Advanta(cid:173)
`geously, the Abbe number of the second and fourth lens
`elements is 23.91. Advantageously, the third air gap between 10
`lens elements 106 and 108 has a thickness (2.020 mm)
`greater than TTL/5 (5.904/5 mm). Advantageously, the
`fourth air gap between lens elements 108 and 110 has a
`thickness (0.068 mm) which is smaller than 1.5d5 (0.4395
`mm).
`The focal length (in mm) of each lens element in embodi(cid:173)
`ment 100 is as follows: fl =2.645, f2=-5.578, f3=-8.784,
`f4=9.550 and f5=-5.290. The condition 1.2xlf31>1f21<1.5x
`fl is clearly satisfied, as 1.2x8.787>5.578> 1.5x2.645. fl
`also fulfills the condition fl <TTL/2, as 2.645<2.952.
`Using the data from row #2 in Tables 1 and 2, Lie in lens
`element 102 equals 0.297 mm, yielding a center-to-edge
`thickness ratio Lll/Lle of 3.01.
`FIG. 2A shows a second embodiment of an optical lens
`system disclosed herein and marked 200. FIG. 2B shows the 25
`MTF vs. focus shift of the entire optical lens system for
`
`20
`
`15
`
`6
`aspheric surface data is given in Table 4, wherein the
`markings and units are the same as in, respectively, Tables
`1 and 2. The equation of the aspheric surface profiles is the
`same as for embodiment 100.
`
`TABLE 3
`
`# Comment
`
`Radius R Distances
`[mm]
`[mm]
`
`Nd/Vd
`
`Diameter
`[mm]
`
`1 Stop
`2 Lll
`3 L12
`4 L21
`5 L22
`6 L31
`7 L32
`
`8 L41
`
`9 L42
`
`10 L51
`
`11 L52
`
`Infinite
`1.5457
`-127.7249
`
`6.6065
`2.8090
`9.6183
`3.4694
`
`-2.6432
`
`-1.8663
`
`-1.4933
`
`-4.1588
`
`12 Window
`13
`
`Infinite
`Infinite
`
`-0.592
`
`0.898
`0.129
`0.251
`0.443
`0.293
`1.766
`
`0.696
`
`0.106
`
`0.330
`
`0.649
`
`0.210
`
`0.130
`
`1.53463/56.18
`
`1.91266/20.65
`
`1.53463/56.18
`
`1.632445/23.35
`
`1.53463/56.18
`
`1.5168/64.17
`
`2.5
`2.6
`2.6
`2.1
`1.8
`1.8
`1.7
`
`3.2
`
`3.6
`
`3.9
`
`4.3
`
`5.4
`
`5.5
`
`TABLE 4
`
`a2
`
`U3
`
`U4
`
`U5
`
`a6
`
`-2.7367E-03
`4.0790E-02
`4.6151E-02
`3.6028E-02
`1.6639E-01
`1.5353E-01
`-3.2628E-02
`1.5173E-02
`-1.4 736E-O1
`-8.3741E-02
`
`2.8779E-04
`-1.8379E-02
`5.8320E-02
`1.1436E-01
`5.6754E-02
`8.1427E-02
`1.9535E-02
`-1.2252E-02
`7.6335E-02
`4.2660E-02
`
`-4.3661E-03
`2.2562E-02
`-2.0919E-02
`-1.9022E-02
`-1.223 8E-02
`-1.5773E-01
`-1.6716E-02
`3.3611E-03
`-2.5539E-02
`-8.4866E-03
`
`3.0069E-03
`-1.7706E-02
`-1.2846E-02
`4.7992E-03
`-1.8648E-02
`1.5303E-01
`-2.0132E-03
`-2.5303E-03
`5.5897E-03
`1.2183E-04
`
`-1.2282E-03
`4.9640E-03
`8.8283E-03
`-3.4079E-03
`1.9292E-02
`-4.6064E-02
`2.0112E-03
`8.4038E-04
`-5.0290E-04
`7.2785E-05
`
`Conic
`coefficient
`k
`
`#
`
`2
`3
`4
`
`0.0000
`-10.0119
`10.0220
`7.2902
`0.0000
`8.1261
`0.0000
`0.0000
`9
`-4.7688
`10
`11 O.OOE+OO
`
`7
`
`var10us fields in embodiment 200. FIG. 2C shows the
`distortion + Y in percent vs. field. Embodiment 200 com(cid:173)
`prises in order from an object side to an image side: an
`optional stop 201; a first plastic lens element 202 with
`positive refractive power having a convex object-side sur(cid:173)
`face 202a and a convex or concave image-side surface 202b;
`a second glass lens element 204 with negative refractive
`power, having a meniscus convex object-side surface 204a,
`with an image side surface marked 204b; a third plastic lens
`element 206 with negative refractive power having a con(cid:173)
`cave object-side surface 206a with an inflection point and a
`concave image-side surface 206b; a fourth plastic lens 55
`element 208 with positive refractive power having a positive
`meniscus, with a concave object-side surface marked 208a
`and an image-side surface marked 208b; and a fifth plastic
`lens element 210 with negative refractive power having a
`negative meniscus, with a concave object-side surface 60
`marked llOa and an image-side surface marked 210b. The
`optical lens system further comprises an optional glass
`window 212 disposed between the image-side surface 210b
`of fifth lens element 210 and an image plane 214 for image
`formation of an object.
`lens element surfaces are
`In embodiment 200, all
`aspheric. Detailed optical data is given in Table 3, and the
`
`Embodiment 200 provides a FOY of 43.48 degrees, with
`EFL=7 mm, F#=2.86 and TTL=5.90 mm Thus and advan-
`45 tageously, the ratio TTL/EFL=0.843. Advantageously, the
`Abbe number of the first, third and fifth lens elements is
`56.18. The first air gap between lens elements 202 and 204
`has a thickness (0.129 mm) which is about half the thickness
`d2 (0.251 mm). Advantageously, the Abbe number of the
`second lens element is 20.65 and of the fourth lens element
`is 23.35. Advantageously, the third air gap between lens
`elements 206 and 208 has a thickness (1.766 mm) greater
`than TTL/5 (5.904/5 mm). Advantageously, the fourth air
`gap between lens elements 208 and 210 has a thickness
`(0.106 mm) which is less than 1.5xd5 (0.495 mm).
`The focal length (in mm) of each lens element in embodi(cid:173)
`ment 200 is as follows: fl=2.851, f2=-5.468, f3=-10.279,
`f4=7.368 and f5=-4.536. The condition 1.2xlf31>1f21<1.5x
`fl is clearly satisfied, as 1.2xl 0.279>5.468> 1.5x2.851. fl
`also fulfills the condition fl <TTL/2, as 2.851 <2.950.
`Using the data from row #2 in Tables 3 and 4, Lie in lens
`element 202 equals 0.308 mm, yielding a center-to-edge
`thickness ratio Lll/Lle of 2.916.
`FIG. 3A shows a third embodiment of an optical lens
`system disclosed herein and marked 300. FIG. 3B shows the
`MTF vs. focus shift of the entire optical lens system for
`
`50
`
`65
`
`Apple v. Corephotonics
`
`Page 11 of 12
`
`Apple Ex. 1001
`
`

`

`US 9,857,568 B2
`
`10
`
`7
`vanous fields in embodiment 300. FIG. 3C shows the
`distortion + Y in percent vs. field. Embodiment 300 com(cid:173)
`prises in order from an object side to an image side: an
`optional stop 301; a first glass lens element 302 with positive
`refractive power having a convex object-side surface 302a
`and a convex or concave image-side surface 302b; a second
`plastic lens element 204 with negative refractive power,
`having a meniscus convex object-side surface 304a, with an
`image side surface marked 304b; a third plastic lens element
`306 with negative refractive power having a concave object(cid:173)
`side surface 306a with an inflection point and a concave
`image-side surface 306b; a fourth plastic lens element 308
`with positive refractive power having a positive meniscus,
`with a concave object-side surface marked 308a and an
`image-side surface marked 308b; and a fifth plastic lens
`element 310 with negative refractive power having a nega(cid:173)
`tive meniscus, with a concave object-side surface marked
`310a and an image-side surface marked 310b. The optical
`lens system further comprises an optional glass window 312
`disposed between the image-side surface 310b of fifth lens 20
`element 310 and an image plane 314 for image formation of
`an object.
`lens element surfaces are
`In embodiment 300, all
`aspheric. Detailed optical data is given in Table 5, and the
`aspheric surface data is given in Table 6, wherein the
`markings and units are the same as in, respectively, Tables
`1 and 2. The equation of the aspheric surface profiles is the
`same as for embodiments 100 and 200.
`
`TABLE 5
`
`# Comment
`
`Radius R
`[mm]
`
`Distances
`[mm]
`
`NdNd
`
`Diameter
`[mm]
`
`Stop
`2 Lll
`L12
`4 L21
`L22
`L31
`7 L32
`L41
`9 L42
`10 L51
`11 L52
`12 Window
`13
`
`Infinite
`1.5127
`-13.3831
`8.4411
`2.6181
`-17.9618
`4.5841
`-2.8827
`-1.9771
`-1.8665
`-6.3670
`Infinite
`Infinite
`
`-0.38
`0.919
`0.029
`0.254
`0.426
`0.265
`1.998
`0.514
`0.121
`0.431
`0.538
`0.210
`0.200
`
`1.5148/63.1
`
`1.63549/23.91
`
`1.5345/57.09
`
`1.63549/23.91
`
`1.5345/57.09
`
`1.5168/64.17
`
`2.4
`2.5
`2.3
`2.1
`1.8
`1.8
`1.7
`3.4
`3.7
`4.0
`4.4
`3.0
`3.0
`
`8
`between lens elements 302 and 304 has a thickness (0.029
`mm) which is about 1/io'h the thickness d2 (0.254 mm).
`Advantageously, the Abbe number of the second and fourth
`lens elements is 23.91. Advantageously, the third air gap
`between lens elements 306 and 308 has a thickness (1.998
`mm) greater than TTL/5 (5.904/5 mm). Advantageously, the
`fourth air gap between lens elements 208 and 210 has a
`thickness (0.121 mm) which is less than 1.5d5 (0.6465 mm).
`The focal length (in mm) of each lens element in embodi(cid:173)
`ment 300 is as follows: fl=2.687, f2=-6.016, f3=-6.777,
`f4=8.026 and f5=-5.090. The condition 1.2xlf31>1f21<1.5x
`fl is clearly satisfied, as 1.2x6.777>6.016>1.5x2.687. fl
`15 also fulfills the condition fl <TTL/2, as 2.687<2.952.
`Using the data from row #2 in Tables 5 and 6, Lie in lens
`element 302 equals 0.298 mm, yielding a center-to-edge
`thickness ratio Lll/Lle of 3.08.
`While this disclosure has been described in terms of
`certain embodiments and generally associated methods,
`alterations and permutations of the embodiments and meth(cid:173)
`ods will be apparent to those skilled in the art. The disclosure
`25 is to be understood as not limited by the specific embodi-
`ments described herein, but only by the scope of the
`appended claims.
`What is claimed is:
`1. A lens assembly, comprising: a plurality of refractive
`lens elements arranged along an optical axis with a first lens
`element on an object side, wherein at least one surface of at
`least one of the plurality of lens elements is aspheric,
`wherein the lens assembly has an effective focal length
`(EFL), a total track length (TTL) of 6.5 millimeters or less,
`a ratio TTL/EFL of less than 1.0, a F number smaller than
`3.2 and a ratio between a largest optical axis thickness Lll
`and a circumferential edge thickness Lie of the first lens
`element of Ll 1/Lle<4.
`2. The lens assembly according to claim 1, wherein the
`ratio Lll/Lle<3.5.
`3. The lens assembly according to claim 1, wherein the
`ratio Lll/Lle<3.2.
`
`30
`
`35
`
`40
`
`TABLE 6
`
`Conic
`coefficient
`k
`
`a2
`
`U3
`
`U4
`
`U5
`
`a6
`
`-0.534
`-13.473
`-10.132
`5.180
`0.000
`10.037
`1.703
`-1.456
`-6.511
`0.000
`
`1.3253E-02
`3.0077E-02
`7.0372E-04
`-1.9210E-03
`2.6780E-01
`2.7660E-01
`2.6462E-02
`5.7704E-03
`-2.1699E-01
`-1.5120E-01
`
`2.3699E-02
`4.7972E-03
`1.1328E-01
`2.3799E-01
`1.8129E-02
`-1.0291E-02
`-1.2633E-02
`-1.8826E-02
`1.3692E-01
`8.6614E-02
`
`-2.8501E-02
`1.4475E-02
`1.2346E-03
`-8.8055E-02
`-1.7323E-02
`-6.0955E-02
`-4.7724E-04
`5.1593E-03
`-4.2629E-02
`-2.3324E-02
`
`1.7853E-02
`-1.8490E-02
`-4.2655E-02
`2.1447E-01
`3.7372E-02
`7.5235E-02
`-3.2762E-03
`-2.9999E-03
`6.8371E-03
`2.7361E-03
`
`-4.0314E-03
`4.3565E-03
`8.8625E-03
`-1.2702E-01
`-2.1356E-02
`-1.6521E-02
`1.6551E-03
`8.0685E-04
`-4.1415E-04
`-1.1236E-04
`
`#
`
`2
`
`4
`
`7
`
`9
`10
`11
`
`Embodiment 300 provides a FOY of 44 degrees, EFL=6.84
`mm, F#=2.80 and TTL=5.904 mm Thus and advanta-
`geously, the ratio TTL/EFL=0.863. Advantageously, the
`Abbe number of the first lens element is 63.1, and of the
`third and fifth lens elements is 57.09. The first air gap
`
`4. The lens assembly according to claim 1, wherein the
`ratio Lll/Lle<3.1.
`5. The lens assembly according to claim 1, wherein the
`65 ratio Lll/Lle<3.0.
`
`* * * * *
`
`Apple v. Corephotonics
`
`Page 12 of 12
`
`Apple Ex. 1001
`
`