c12) United States Patent
`Dror et al.
`
`(IO) Patent No.: US 9,857,568 B2
`(45) Date of Patent:
`Jan. 2, 2018
`
`(54) MINIATURE TELEPHOTO LENS ASSEMBLY
`
`(71) Applicant:℃orephotonics Ltd., Tel-Aviv (IL)
`
`(72) Inventors: Michael Dror, Nes Ziona (IL);
`Ephraim Goldenberg, Ashdod (IL);
`Gal Shabtay, Tel Aviv (IL)
`
`(73) Assignee：℃orephotonics 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,
`自ledon Jun. 1, 2016, now Pat. No. 9,568,712, which
`is a continuation of application No. 14/932,319，自led
`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.℃L
`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
`
`(52) uふ ℃L
`CPC ......... G02B 131θ045 (2013.01); G02B 11041
`(2013.01); G02B 9160 (2013.01); G02B 13102
`(2013.01); G02B 2加 白5(2013.01); G02B
`2九1646(2013.01); H04N 2101100 (2013.01);
`YJOT 2914913 (2015.01)
`(58) Field of℃lassification 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 ...・ H ・H ・H ・...・ H ・.....3591714, 739, 740, 763, 764
`See application file for complete search history.
`
`(56)
`
`References ℃ited
`
`U.S. PATENT DOCUMENTS
`
`9,402,032 B2 * 7/2016 Dror ..・ e・................... G02B 9/60
`9,568,712 B2 * 212017 Dror ....................・ e・. G02B 9/60
`2009/0185289 Al* 712009 Do
`G02B 9/12
`3591716
`2011/0115965 Al* 5/2011 Engelhardt .......... G02B 13/004
`3591715
`
`(Continued)
`
`Primary Examiner Evelyn A Lester
`(74) Attorney, Agent, or Firm Nathan & Associates
`Patent Agents Ltd.; Menachem Nathan
`
`(57)
`
`ABSTRA℃I
`
`An optical lens assembly includes five lens elements and
`provides a TTL/EFLく1.0. In an embodiment, the focal
`length of the first lens element flく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 自由hlens element thickness. All lens
`elements may be aspheric.
`
`5℃laims, 6 Drawing Sheets
`
`100 ,,,.
`
`APPL-1021 / Page 1 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 9,857,568 B2
`Page 2
`
`(56)
`
`References ℃ited
`
`U.S. PATENT DOCUMENTS
`
`2012/0086848 Al* 4/2012 Tsai
`
`2011/0249346 Al * 10/2011 Tang .............・ e・.. G02B 13/0045
`359/764
`2011/0261470 Al* 10/2011 Chen ..・ e・...... ... ... ... G02B 13/004
`3591715
`2011/0279910 Al * 1112011 Tang ..............・ e・. G02B 13/0035
`3591716
`G02B 9/34
`3591715
`G02B 9/60
`3591714
`G02B 9/60
`359/764
`2015/0146076 Al* 5/2015 Ohtsu ..・ e・............・ e・.. G02B 9/60
`348/340
`
`2014/0098428 Al* 4/2014 Shinohara
`
`2015/0029601 Al * 1/2015 Dror
`
`* cited by examiner
`
`APPL-1021 / Page 2 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 1 of 6
`
`US 9,857,568 B2
`
`100
`
`jl;"
`
`110
`
`／
`
`112~」／｛
`
`人＿r-~1-14
`
`一＇・・−−− 110b
`
`108・"
`\110aサ
`＼？『山＇＼
`
`108 )
`
`mwilノ
`
`ペ｛
`
`内向υ：if
`引ハ今
`円nv
`J47 ハυ ／di
`
`〜＇−−−− 106b
`
`p
`
`x
`
`101−..＿＿.−・・ヘ
`
`／
`
`102a-,;
`
`ハυ
`
`丹J軸
`
`11’
`
`diErJ1
`
`＼、
`
`，＼
`
`1 I 、
`J 4 ， hυ
`一 ＼ 202
`叩 ＼
`41AU
`代tt、＼イ
`
`ハHu
`
`AHM
`d4寸
`
`FIG. 1A
`
`dfe
`
`A、
`
`2u
`
`i
`
`APPL-1021 / Page 3 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 2 of 6
`
`US 9,857,568 B2
`
`1.0
`0.9
`~ 0.8
`φ0.7
`.J::.
`と 0.6
`~ 0.5
`喜 0.4
`曇 0.3
`。圃2
`0.1
`0圃0
`-0.05
`
`TSO。
`:lTS 10°
`
`. tヰ
`
`-0.04
`
`冒 0.03
`
`開 0.02
`
`-0.01 0 0.01
`Focus shift (mm)
`
`0.02
`
`0.03
`
`0.04
`
`0.05
`
`FIG. 18
`
`（国
`
`03）万一。一比
`
`22.000
`
`19.800
`
`17.600
`
`15.400
`
`13.200
`
`11.000
`
`8.800
`
`6.600
`
`4.400
`
`2.200
`
`
`nu nu nu
`
`nU
`門U
`円U
`AU
`弓4
`
`FIG. 1C
`
`Polychromatic Diffraction Through Focus MTF
`Angle 6/2/2013
`Data for O圃4350to a‘6560ドm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`Distortion (centroid)
`
`・2.000
`
`0.000
`Distortion(%)
`
`30/06/2013
`Maximum distortion = 1.3%
`
`APPL-1021 / Page 4 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 3 of 6
`
`US 9,857,568 B2
`
`200
`
`糸、
`
`η，，
`rh
`
`dUT
`d守主，‘
`
`＼
`
`111lait−
`
`Lvilli
`
`gagT
`
`＼
`
`吟／』
`d守ds
`q品
`
`210
`
`／
`
`nリ
`nHu
`今，
`
`v i−−d
`h J f
`
`201、
`
`202
`204
`/ ) 2?6
`h (206a /.
`
`208a
`
`一，___ ,. 206b
`
`＼
`
`＼、204b
`
`202器＿／
`
`...善。
`
`FIG. 2A
`
`APPL-1021 / Page 5 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 4 of 6
`
`US 9,857,568 B2
`
`"("$ 18°
`
`~
`
`mu−−川山日明
`
`・0.04
`
`-0.03
`
`ー0.02
`
`-0.01 0 0‘01
`Focus shift {mm)
`
`0.02
`
`0.03
`
`0.04
`
`0.05
`
`1.0
`0.9
`~ 0.8
`φ0.7
`』＝
`ミご O‘6
`0
`lb 0.5
`0.4
`曇 0.3
`0.2
`0‘1
`0.0
`・0.05
`
`コ喜
`
`FIG. 28
`
`（出品四万一｝
`
`20一L
`
`22.000
`
`19‘800
`
`17.600
`
`15.400
`
`13.200
`
`11.000
`
`8.800
`
`6.600
`
`4.400
`
`2.200
`
`円unu nu
`
`nu nu
`
`nu nu
`つι
`
`FIG. 2C
`
`Polychromatic Diffraction Through Focus MTF
`Angle 6/2/2013
`Data for O‘4350 to 0.6560ドm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`Distortion (centroid)
`
`・2.000
`
`0.000
`Distortion （弘）
`
`30/06/2013
`Maximum distortion = 1.5%
`
`APPL-1021 / Page 6 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 5 of 6
`
`US 9,857,568 B2
`
`ハυハυ
`
`円4u’ ハ 川 U
`
`白鳥幻 j
`
`43
`
`ハH
`U
`
`／no
`
`FIG. 3A
`
`APPL-1021 / Page 7 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`U.S. Patent
`
`Jan.2,2018
`
`Sheet 6 of 6
`
`US 9,857,568 B2
`
`0.028
`
`0.042
`
`0.056
`
`0.07
`
`FIG. 38
`
`（問。主主ω正
`
`22.000
`
`19.800
`
`17.600
`
`15.400
`
`13.200
`
`11.000
`
`8.800
`
`6.600
`
`4.400
`
`。n
`U川
`
`4qEE
`QU
`Ti川川ハパ川川川ハハ
`川hhhH川トベハハ川しパ川
`
`。円
`υ
`
`1.0
`0.9
`I; 0.8
`Q, 0.7
`.s:::.
`ご 0.6
`0
`I/) 0.5
`::;:,
`喜 0.4
`釜 0.3
`0且2
`0.1
`0‘0
`・0司07
`
`CM
`Ti
`
`・0.056・0.042 ・0.028・0.014 0 0.014
`Focus shift (mm)
`Polychromatic Diffraction Through Focus MTF
`Angle 6/9/2013
`Data for 0.4350 to O‘6560 μm.
`Spatial Frequency: 180.0000 cycles/mm.
`
`Distortion (centroid)
`
`2.200
`
`
`
`
`
`
`nu nu nu nu nu nυ nu
`
`FIG. 3C
`
`門／』
`
`0.000
`Distortion (%)
`
`・2.000
`
`30/06/2013
`Maximum distortion = 1.3%
`
`APPL-1021 / Page 8 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 9,857,568 B2
`
`CROSS REFERENCE TO RELATED
`APPLICATIONS
`
`FIELD
`
`BACKGROUND
`
`1
`MINIATURE TELEPHOTO LENS ASSEMBLY
`
`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
`百1isapplication is a Continuation in Part (CIP) applica- smaller than 1.0. In some embodiments, the TTL/EFL ratio
`tion of U.S. patent application Ser. No. 15/170,472 filed Jun. is smaller than 0.9. In an embodiment, the TTL厄FLratio is
`1, 2016, which was a Continuation application of U.S. patent about 0.85. In all embodiments, the lens assembly has an F
`application Ser. No. 14/932,319 filed Nov. 4, 2015, which number F＃く3.2. In an embodiment, the focal length of the
`10 first lens element fl is smaller than TTL/2 the first third and
`was a Continuation application of U.S. patent applicati n
`）
`Ser. No. 14/367.924 filed Jun. 22一 2014一whichwas a 371 of 白武h lens elements have each 組 Abbenumber （“Yd”
`in terr
`ch組 Abbenumber smaller than 30, the first air gap is
`2014, and is related to and claims priority from U.S.
`lier than d2/2, the third air gap is greater than TTL/5 and
`Provisional Patent Application No. 61/842,987 filed Jul. .4, 15 the fourth air gap is smaller than 1.5d5. In some embodi-
`20~3, which is incorporated herein by reference in 山
`me凶 s,the surfaces of the lens elements may be aspheric.
`entJrety.
`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 elem己ntsplus the relative
`Embodiments disclosed herein relate to an optical lens short distances between them enable a long EFL and a short
`system and lens assembly, and more particularly, to a TTL. The same combination, together with the high disper-
`miniature telephoto lens assembly included in such a system sion (low yd) for the second lens element and low disper-
`and used in a portable electronic product such as a cell- sion (l首位 Vd) for the first and third lens elements, also helps
`phone.
`25 to reduce chromatic aberration. In particular, the ratio TTL/
`EFL<l.O and minimal chromatic aberration are obtained by
`fulfilling the relationship 1.2×lf31>1f21>1.5×孔 where“r’
`indicates the lens element effective focal length and the
`Digital camera modules are currently being incorporated numerals 1, 2, 3, 4, 5 indicate the lens element number.
`into a variety of host devices. Such host devices include 30 The conditions TTL厄 FLく1.0and F＃く3.2 can lead to a
`cellular telephones, personal data assistants (PDAs), com- large ratio Lll/Lle (e.g. larger than 4) between the largest
`puters, and so forth. Consumer demand for digital camera width (thickness) Lil and the smallest width (thickness) of
`modules in host devices continues to grow. Cameras in the first lens element (facing the object) Lle. The largest
`cellphone devices in particular require a compact imaging width is along the optical axis and the smallest width is of
`lens system for good quality imaging and with a small total 35 a flat circumferential edge of the lens element. Lll and Lle
`track length (TTL). Conventional lens assemblies compris- are shown in each of elements 102, 202 and 302. A large
`ing four lens elements are no longer sufficient for good Lll/Lle ratio (e.g. >4) impacts negatively the manufactur-
`quality imaging in such devices. The latest lens assembly ability of the lens and its quality. Advantageously, the
`designs, e.g. as in U.S. Pat. No. 8,395,851, use five lens present inventors have succeeded in designing the first lens
`elements. However, the design in U.S. Pat. No. 8,395,851 40 element to have a Lll/Lle ratio smaller than 4, smaller than
`suffers from at least the fact that the TTL/EFL （己最ctive 3.5, smaller than 3.2, smaller than 3.1 (respectively 3.01 for
`focal length) ratio is too large.
`element 102 and 3.08 for element 302) and even smaller
`百1erefore,a need exists in the art for a five lens element than 3.0 (2.916 for element 202). The significant reduction
`optical lens assembly that can provide a small TTL/EFL in the Lll/Lle ratio improves the m組 ufacturabilityand
`ratio and better image quality than existing lens assemblies. 45 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
`Embodiments disclosed herein refer to an optical lens points to the image plane. Also, because the fourth and自由h
`assembly comprising, in order from an object side to an so lens elements have different dispersions and have respec-
`image side: a自rstlens element with positive refractive tively positive and negative power, they help in minimizing
`powぽ havinga convex object-side surface, a second lens chromatic aberration.
`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
`FIG. lA shows a first embodiment of an optical lens
`refractive power and separated from the second lens element
`by a second air gap, a fourth lens element having a positive system disclosed herein;
`refractive power and separated from the third lens element
`FIG. lB shows the modulus of the optical transfer func-
`by a third air gap, and a fifth lens element having a negative tion (MTF) vs. focus shift of the entire optical lens assembly
`refractive power, separated from the fourth lens element by 60 for various fields in the first embodiment;
`FIG. lC shows the distortion vs. field angle ( + Y direction)
`a fourth air gap, the曲 hlens element having a thickness d5
`on the optical axis.
`in percent in the first embodiment;
`An optical lens system incorporating the lens assembly
`FIG. 2A shows a second embodiment of an optical lens
`may further include a stop positioned before the first lens system disclosed herein;
`element, a glass window disposed between the image-side 65 FIG. 2B shows the MTF vs. focus shift of the entire
`surface of the fifth lens element and an image sensor with an optical lens assembly for various fields in the second
`己mbodiment;
`image plane on which an image of the object is formed.
`
`SUMJ\ι生RY
`
`BRIEF DESCRIPTION OF THE DRAWINGS
`
`APPL-1021 / Page 9 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 9,857,568 B2
`
`4
`
`,
`c?
`1 ＋、 I-I +k ,2,2
`z=
`F 一一一一一一一一一一一一＋ αit出＋
`
`14
`10 12
`α2r ＋α3r ＋α4r ＋αsr ＋α6r ＋αsr
`
`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 5
`optical lens system for various fields in the third embodi-
`ment;
`FIG. 3C shows the distortion + Y in percent in the third
`embodiment.
`
`DETAILED DESCRIPTION
`
`10
`
`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-
`bly disclosed herein, coefficientsα1 andα7 are zero. Note
`that the maximum value of r“max r”＝Diameter/2. Also note
`In the following description, the shape (convex or con-
`cave) of a lens element surface is defined as viewed from the that Table 1 (and in Tables 3 and 5 below), the distances
`resp~ctive side (i.e. from an object side or from an image 15 between, various elem
`“Lmn”（where m refers to the lens element number, n二 1
`side). FIG. lA shows a白rstembodiment of an optical lens
`1.
`system disclosed herein and marked 100. FIG. lB shows the refers to the element thickness and n=2 refers to the air gap
`MTF vs. focus shift of the entire optical lens system for to the next element) and are measured on the optical axis z,
`various fields in embodiment 100. FIG. lC shows the wherein the stop is at Z二 0.Each number is measured from
`distortion + y in percent vs. field. Embodiment 100 com- 20 the previous surface. Thus, the first distance -0.466 m m is
`measured from the stop to surface 102a, the distance Lll
`企omsurface 102a to surface 102b (i.e. the thickness of first
`
`prises in order企oman 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- lens element 102) is 0.894 mm, the gap L12 between
`surfaces 102b and 104a is 0.020 mm, the distance L21
`face 102a and a convex or concave image-side surface 102b・
`
`a second plastic lens element 104 with negぽiverefract…25 between surfaces 104a and 104b (i.e. thickness d2 of日 cond
`
`TABLE 1
`
`# Comment
`
`Radius R
`[mm]
`
`Distances
`[mm]
`
`Nd/Vd
`
`Diameter
`[mm]
`
`powぽ 出1dhaving a meniscus convex o句ect-sidesurface lens element 104) is 0.246 mm, etc. Also, L21 =d2 and
`L51=d5. Lil for lens element 102 is indicated in FIG. lA.
`104a, with an image side surface marked 104b; a third
`Also indicated in FIG. lA is a width Lie of a flat circum-
`plastic lens element 106 with negative refractive power
`having a concave object-side surface 106a with an inflection ferential edge (or surface) oflens element 102. Ll 1 and Lie
`are also indicated for each of first lens elements 202 and 302
`point and a concave image-side surface 106b; a fourth 30
`in, respectively, embodiments 200 (FIG. 2A) and 300 (FIG.
`、
`plastic lens element 108 with positive refractive power
`3A)
`having a positive meniscus, with a concave object-side
`J・
`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 35
`object-side surface marked llOa and an image-side surface
`marked llOb.百1eoptical lens system further comprises an
`1 Stan
`2 ur
`op ti or叫 glasswindow 112 disposed between the in時己−side
`surface llOb of自由hlens element 110 and an image plane
`3 u2
`114 for image formation of an object. Moreover, an image 40 4 L21
`sensor (not shown) is disposed at image plane 114 for the
`5 L22
`6 L31
`image formation.
`7 L32
`In embodiment 100, all lens element surfaces are
`s L41
`aspheric. Detailed optical data is given in Table 1, and the
`9 L42
`aspheric surface data is given in Table 2, wherein the units 45 10 L51
`11 L52
`12 Window
`13
`
`1.63549/23.91
`
`1.5345/57.〔95
`
`In白nite
`-0.466
`0.894
`1.5800
`0.020
`-11.2003
`0.246
`33.8670
`0.449
`3.2281
`-12.2843 0.290 1.5345/57.〔95
`7.7138 2.020
`-2.3755 o.597 1.63549/23.91
`1.8801 0.068
`1.8100 0.293 1.5345/57.〔95
`-5.2768 0.617
`0.210 1.5168/64.17
`II血 巾
`In白iite 0.2〔O
`
`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
`
`of the radius of curvature (R), lens element thickness and/or
`distances between elements along the optical axis and diam-
`eter are expressed in m m“Nd”is the refraction index. The
`equation of the aspheric surface profiles is expressed by:
`
`TABLE 2
`
`Come
`coe宜1cient
`k
`
`＃
`
`臼2
`
`臼3
`
`口4
`
`臼5
`
`臼 6
`
`2 -0.4668 7.9218E-03 2.3146E-02 -3.3436E-02 2.3650E-02 -9.2437E-03
`3 -9.8525 2.0102E-02 2.0647E-04 7.4394E-03 -l.7529E-02 4.5206E-03
`4 10.7569 -l.9248E-03 8.6003E-02 l.1676E-02 -4.0607E-02 l.3545E-02
`1.4395 5.1029E-03 2.4578E-Ol -l.7734E-Ol 2.9848E-Ol -l.3320E-Ol
`6 0.0000 2.1629E-Ol 4.0134E-02 l.3615E-02 2.5914E-03 -l.2292E-02
`7 -9.8953 2.3297E-Ol 8.2917E-02 -l.2725E-Ol l.5691E-Ol -5.9624E-02
`8 0.9938 -l.3522E-02 -7.0395E-03 l .4569E-02 -l.5336E-02 4.3707E-03
`9 -6.8097 -l.0654E-Ol l.2933E-02 2.9548E-04 -l.83 l 7E-03 5.0lllEー〔4
`10 -7.3161 -l.8636E-Ol 8.3105E-02 -l .8632E-02 2.4012E-03 -l.2816E-04
`11 0.0000 -l.1927E-Ol 7.0245E-02 -2.0735E-02 2.6418E-03 -l.1576E-04
`
`APPL-1021 / Page 10 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`TABLE 3
`
`Radius R Distances
`# Comment [mm]
`[mm]
`
`Nd/Vd
`
`Diameter
`
`5
`6
`Embodiment 100 provides a field of view (FOY) of 44
`aspheric surface data is given in Table 4, wherein the
`degrees, with EFL=6.90 mm, F#=2.80 and TTL of 5.904
`markings and units are the same as in, respectively, Tables
`m m Thus and advantageously, the ratio TTL厄 FL=0.855.
`1 and 2. The equation of the aspheric surface profiles is the
`same as for embodiment 100.
`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-
`geously, the Abbe number of the second and fourth lens
`elements is 23 .91. Advantageously, the third air gap between
`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).
`百iefocal length (in mm) of each lens element in embodi-
`ment 100 is as follows: fl =2.645，ロ＝−5.578,f3=-8.784,
`f4=9.550 and f5=-5.290. The condition 1.2×｜白｜〉｜ロ｜く1.5x
`fl is clearly satisfied, as 1.2×8. 787>5.578>1.5×2.645. fl
`also fulfills the condition nくTTL/2,as 2.645く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
`
`US 9,857,568 B2
`
`10
`
`15
`
`20
`
`1 Stop
`
`2 Lll
`
`3 L12
`4 L21
`5 L22
`6 L31
`7 L32
`8 L41
`9 L42
`10 L51
`11 L52
`12 Window
`13
`
`In白nite
`1.5457
`
`-0.592
`0.898
`
`-127.7249 。129
`
`6.6065 0.251
`2.8090 0.443
`9.6183 0.293
`3.4694 1.766
`-2.6432 0.696
`
`-1.8663 。106
`
`-1.4933 0.330
`-4.1588 0.649
`In白nite 0.210
`
`In白nite 。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
`
`TABLE 4
`
`Come
`coe宜1cient
`k
`
`＃
`
`臼2
`
`臼3
`
`口4
`
`臼5
`
`臼 6
`
`2 0.0000 -2.7367E-03 2.8779E-04 -4.3661E-03
`3 -10.0119 4.0790E-02 -1.8379E-02 2.2562E-02
`4 10.0220 4.6151E-02 5.8320E-02 -2.0919E-02
`5 7.2902 3.6028E-02 1.1436E-01 -1.9022E-02
`6 0.0000 1.6639E-01 5.6754E-02 -1.223 8E-02
`7 8.1261 1.5353E-01 8.1427E-02 -1.5773E-01
`8 0.0000 -3.2628E-02 1.9535E-02 -1.6716E-02
`9 0.0000 1.5173E-02 -1.2252E-02 3.3611E-03
`10 -4.7688 -1.4736E-01 7.6335E-02 -2.5539E-02
`11 O.OOE+OO -8.3741E-02 4.2660E-02 -8.4866E-03
`
`3.0069E-03 -1.2282E-03
`-1.7706E-02 4.9640E-03
`-1.2846E-02 8.8283E-03
`4.7992E-03 -3.4079E-03
`-1.8648E-02 1.9292E-02
`1.5303E-01 -4.6064E-02
`-2.0132E-03 2.0112E-03
`-2.5303E-03 8.4038E-04
`5.5897E-03 -5.0290E-04
`1.2183E-04 7.2785E-05
`
`ウんウんウんウん1i1i1i吋3吋3吋JA斗ζJζJ
`various fields in embodiment 200. FIG. 2C shows the Embodiment 200 provides a FOY of 43.48 degrees, with
`《Jforb−iQOQ07fウんrbQノ吋JA−−《J
`distortion + Y in percent vs. field. Embodiment 200 com- EFL=7 mm, F#=2.86 and TTL=5.90 m m Thus and advan-
`45
`prises in order企oman object side to an image side: an tag回 usly,the ratio TTL/EFL=0.843. Advantag回 usly,the
`optional stop 201; a first plastic lens element 202 with Abbe number of the first, third and自白hlens elements is
`positive refractive power having a convex object-side sur- 56.18. The first air gap between lens elements 202 and 204
`face 202a and a convex or concave image-side surface 202b; has a thickness (0.129 mm) which is about half the thickness
`a second glass lens element 204 with negative refractive 50 d2 (0.251 mm). Advantageously, the Abbe number of the
`pow民 havinga meniscus convex object-side surface 204a, second lens element is 20.65 and of the fourth lens element
`with an image side surface marked 204b; a third plastic lens is 23.35. Advantageously, the third air gap between lens
`element 206 with negative refractive power having a con- elements 206 and 208 has a thickness (1.766 mm) greater
`cave object-side surface 206a with an inflection point and a than TTL/5 (5.904/5 mm). Advantageously, the fourth air
`concave image-side surface 206b; a fourth plastic lens 55 gap between lens elements 208 and 210 has a thickness
`element 208 with positive refractive power having a positive (0.106 mm) which is less than 1.5xd5 (0.495 mm).
`meniscus, with a concave o句ect-sidesurface marked 208a
`The focal length (in mm) of each lens element in embodi-
`and an image-side surface marked 208b; and a fifth plastic ment 200 is as follows: f1=2.851, f2=-5.468, f3＝ー 10.279,
`lens element 210 with negative refractive power having a f4=7.368 and f5=-4.536. The condition 1.2×lf31>1f21<1.5×
`negative meniscus, with a concave object-side surface 60 fl is clearly satisfied, as 1.2×10.279>5.468> 1.5×2.851. fl
`marked llOa and an image-side surface marked 210b. The also fulfills the condition flくTTL/2,as 2.851く2.950.
`optical lens system白rthercomprises an optional glass
`Using the data from row #2 in Tables 3 and 4, Lle in lens
`window 212 disposed between the image-side surface 210b element 202 equals 0.308 mm, yielding a center-to-edge
`of fifth lens element 210 and an image plane 214 for image thickness ratio Ll 1江 leof 2.916.
`formation of an object.
`65 FIG. 3A shows a third embodiment of an optical lens
`In embodiment 200, all lens element surfaces are system disclosed herein and marked 300. FIG. 3B shows the
`aspheric. Detailed optical data is given in Table 3, and the MTF vs. focus shift of the entire optical lens system for
`
`APPL-1021 / Page 11 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 9,857,568 B2
`
`8
`7
`various fields in embodiment 300. FIG. 3C shows the between lens elements 302 and 304 has a thickness (0.029
`distortion + Y in percent vs. field. Embodiment 300 com− 凹n)which is about 1/io'h the thickness d2 (0.254 mm).
`prises in order from an object side to an image side: an Advantageously, the Abbe number of the second and fourth
`optional stop 301; a first glass lens element 302 with positive
`refractive power having a convex object-side surface 302a 5 lens elements is 23.91. Advantageously, the third air gap
`and a convex or concave image-side surface 302b; a second between lens elements 306 and 308 has a thickness (1.998
`plastic lens element 204 with negative refractive power, mm) greater than TTL/5 (5.904/5 mm). Advantageously, the
`having a meniscus convex object-side surface 304a, with an fourth air gap between lens elements 208 and 210 has a
`image side surface marked 304b; a third plastic lens element thickness (0.121 mm) which is less than 1.5ds (0.6465 m m）・
`306 with negative re企activepower having a concave object- 10
`The focal length (in mm) of each lens element in embodi-
`side surface 306a with an inflection poi凶 anda concave
`image-side surface 306b; a fourth plastic lens element 308 ment 300 is as follows: f1=2.687, f2=-6.016, f3=-6.777,
`with positive refractive power having a positive meniscus, f4=8.026 and f5=-5.090. The condition 1.2×lf31>1f21<1.5×
`with a concave object-side surface marked 308a and an fl is clearly satisfied, as 1.2×6.777>6.016> 1.5×2.687. fl
`image-side surface marked 308b; and a fifth plastic lens 15 also fulfills the condition flくTTL/2,as 2.687く2.952.
`lement 310 with negative refractive power having a nega-
`Using the data from row #2 in Tables 5 and 6, Lle in lens
`tive meniscus, with a concave object-side surface marked
`310a and an image-side surface marked 310b. The optical element 302 equals 0.298 mm, yielding a center-to-edge
`lens system further comprises an optional glass window 312 thickness ratio Lll江 leof 3.08.
`disposed between the image-side surface 310b of fifth lens 20 While this disclosure has been described in terms of
`eleme_nt 310 and an image pla田 314for image formation of certain embodiments and generally associated methods,
`bjeCt.
`In embodiment 300, all lens element surfaces are alterations and permutations of the embodiments and meth-
`aspheric. Detailed optical data is given in Table 5, and the ods will be apparent to those skilled in the art. The disclosure
`aspheric surface data is given in Table 6, wherein the 25 is to be understood as not limited by the specific embodi-
`markings and units are the same as in, respectively, Tables ments described herein, but only by the scope of the
`1and2.百ieequation of the aspheric surface profiles is the appended claims.
`s for embodiments 100 and 200.
`
`30
`
`35
`
`40
`
`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厄 FLof 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 Lle of the first lens
`element of Ll 1/Lleく4.
`2. The lens assembly according to claim 1, wherein the
`ratio Lil江 leく3.5.
`3. The lens assembly according to claim 1, wherein the
`ratio Lil江 leく3.2.
`
`TABLE 5
`
`# Comment
`
`Radius R Distances
`[mm]
`[mm]
`
`NdNd
`
`Diameter
`[mm]
`
`4 5 3 1 8 8 7 4 7 0 4 0 0
`22221il−− 3 3 4 4 3 3
`
`In白血te -0.38
`1.5127
`0.919
`-13.3831
`0.029
`8.4411
`0.254 1.63549/23.91
`2.6181
`0.426
`-17.9618
`0.265
`4.5841
`1.998
`-2.8827
`0.514 1.63549/23.91
`
`1.5148/63.1
`
`1.5345/57〔9
`
`-1.9771 。121
`
`-1.8665
`-6.3670
`In白血te
`In白血te
`
`0.431
`0.538
`0.210
`0.2〔O
`
`1.5345/57〔9
`
`1.5168/64.17
`
`TABLE 6
`
`1 Stop
`2 Lll
`3 L12
`4 L21
`5 L22
`6 L31
`7 L32
`8 L41
`9 L42
`10 L51
`11 L52
`12 Window
`13
`
`Corne
`coe宜icient
`k
`
`＃
`
`臼2
`
`臼 3
`
`臼 4
`
`臼 5
`
`臼 6
`
`2 -0.534 1.3253E-02 2.3699E-02 -2.8501E-02 1.7853E-02 -4.0314E-03
`3 -13.473 3.0077E-02 4.7972E-03
`1.4475E-02 -1.8490E-02 4.3565E-03
`4 -10.132 7.0372E-04 1.1328E-01
`1.2346E-03 -4.2655E-02
`8.8625E-03
`5 5.180 -1.9210E-03 2.3799E-01 -8.8055E-02 2.1447E-01 -1.2702E-01
`6 0.000 2.6780E-01 1.8129E-02 -1.7323E-02 3.7372E-02 -2.1356E-02
`7 10.037 2.7660E-01 -1.0291E-02 -6.0955E-02 7.5235E-02 -1.6521E-02
`1.6551E-03
`8 1.703 2.6462E-02 -1.2633E-02 -4.7724E-04 -3.2762E-03
`5.1593E-03 -2.9999E-03
`9 -1.456 5.7704E-03 -1.8826E-02
`8.0685E-04
`10 -6.511 -2.1699E-01 1.3692E-01 -4.2629E-02 6.8371E-03 -4.1415E-04
`0.000 -1.5120E-01 8.6614E-02 -2.3324E-02 2.7361E-03 -1.1236E-04
`11
`
`4. The lens assembly according to claim 1, wherein the
`Embodiment 300 provides a FOY of 44 degrees, EFL=6.84
`mm, F#=2.80 and TTL=5.904 m m Thus and advanta- ratio Lil江 leく3.1.
`geously, the ratio TTL/EFL=0.863. Advantageously, the 65 5. The lens assembly according to claim 1, wherein the
`ratio Lil江 leく3.0.
`
`Abbe number of the first lens element is 63.1, and of the
`third and自由h lens elements is 57.09. The first air gap
`
`* * * * *
`
`APPL-1021 / Page 12 of 12
`APPLE INC. v. COREPHOTONICS LTD.
`
`