USOO9402032B2
`
`(12) United States Patent
`Dror et al.
`
`(10) Patent No.:
`(45) Date of Patent:
`
`US 9.402,032 B2
`Jul. 26, 2016
`
`(54) MINIATURE TELEPHOTO LENS ASSEMBLY
`
`(71) Applicant: Corephotonics Ltd., Tel-Aviv (IL)
`
`72) Inventors: Michael Dror, Nes-Ziona (IL):
`(72) Inventors Frn Sai Ri (IL); Gal
`SE Tel-Aviv st
`s
`s
`- Avi
`(73) Assignee: Corephotonics Ltd., Tel-Aviv (IL)
`(*) Notice:
`Subject to any disclaimer, the term of this
`past list: sited under 35
`
`(21) Appl. No.: 14/932,319
`(22) Filed:
`Nov. 4, 2015
`9
`
`(65)
`
`Prior Publication Data
`US 2016/0085056A1
`Mar. 24, 2016
`
`Related U.S. Application Data
`(63) Continuation of application No. 14/367.924, filed as
`application No. PCT/IB2014/062465 on Jun. 20,
`2014.
`
`(60) Provisional application No. 61/842.987, filed on Jul. 4,
`2013.
`
`(51) Int. Cl.
`GO2B 13/18
`GO2B 3/02
`
`(2006.01)
`(2006.01)
`(Continued)
`
`(52) U.S. Cl.
`CPC ............ H04N 5/23296 (2013.01); G02B I/041
`(2013.01); G02B 9/60 (2013.01); G02B 13/009
`(2013.01); G02B 13/0045 (2013.01); G02B
`13/02 (2013.01); G02B 27/0025 (2013.01);
`G02B 27/646 (2013.01); H04N 5/2254
`(2013.01); H04N5/2257 (2013.01); H04N
`5/2258 (2013.01); H04N 9/045 (2013.01);
`
`H04N 9/097 (2013.01); G02B5/005 (2013.01);
`G02B 9/12 (2013.01); G02B 9/62 (2013.01);
`(Continued)
`58) Field of Classification Search
`(
`CPC ........ G02B 13/0045; G02B 9/62; G02B 9/60;
`G02B 13/18: G02B 13/004: GO2B 9/64;
`G02B5/005; G02B 13/00; G02B 9/12
`USPC ................. 359/713, 714, 715. 717,739, 740,
`359/745 748,754 795
`See application file for complete search history.
`References Cited
`U.S. PATENT DOCUMENTS
`
`(56)
`
`8, 1999 Hirata et al.
`5,946,142 A
`7,826,151 B2 11/2010 Tsai
`(Continued)
`
`FOREIGN PATENT DOCUMENTS
`
`WO
`
`2013063097 A1
`
`5, 2013
`
`OTHER PUBLICATIONS
`
`International Search Report and Written Opinion issued in related
`PCT patent application PCT, IB2014/062465, dated Oct. 29, 2014, 8
`palent application
`, dated Uc. 29, ZU14,
`pageS.
`
`Primary Examiner — Evelyn A Lester
`(74) Attorney, Agent, or Firm — Nathan & Associates Patent
`Agents Ltd.; Menachem Nathan
`
`ABSTRACT
`(57)
`An optical lens assembly includes five lens elements and
`provides a TTL/EFL<1.0. 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.
`
`20 Claims, 6 Drawing Sheets
`
`(2.
`
`s ---
`
`C
`
`
`
`a ki lok
`
`//
`
`Apple v. Corephotonics
`
`Page 1 of 13
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`
`

`

`US 9.402,032 B2
`Page 2
`
`(51) Int. Cl.
`(2006.01)
`GO2B 9/60
`39.83
`HE
`(2006.01)
`H04N 5/225
`(2006.01)
`H04N 9/04
`(2006.01)
`HO)4N 9/097
`(2006.01)
`GO2B 13/02
`(2006.01)
`GO2B I/04
`(2006.01)
`GO2B 27/00
`(2006.01)
`GO2B 27/64
`(2006.01)
`GO2B 9/62
`(2006.01)
`GO2B5/OO
`(2006.01)
`GO2B 9/64
`(2006.01)
`GO2B 9/12
`(2006.01)
`(52) K.I.OO
`CPC .................. G02B 9/64 (2013.01); G02B 13/00
`
`(2013.01); G02B 13/004 (2013.01); G02B
`13/18 (2013.01); H04N2101/00 (2013.01);
`Y10T 29/4913 (2015.01)
`References Cited
`
`(56)
`
`U.S. PATENT DOCUMENTS
`63 E. '58 E.
`8,508,860 B2
`& 2013 E. s A.
`20070229.987 Al 102007 Shinohara
`2009,0185289 A1* 7, 2009 DO ........................... GO2B 9/12
`359,716
`
`2010/0254029 A1 10, 2010 Shinohara
`5838, SA 3.583 SE a
`ablay et al.
`2013,0038947 A1
`2/2013 Tsai et al.
`* cited by examiner
`
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`
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`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 1 of 6
`
`US 9.402,032 B2
`
`FIG. A
`
`
`
`-(). () 9
`
`FIG. 1 B
`
`- J. G4
`
`- O - 3
`
`ANGLE
`6/2 / 2 OL3
`Data for C. 4350 to O. 65) 6 () lim.
`: Spat i a Frescu far city :
`1.8 ? ... O OO ?o cyclics gy ger Inrn.
`
`(). 02
`C}, {}
`}
`(), ()
`O. O.
`Foxus shift in Militact. cras
`Polychromatic Diffraction Through Focus MTFT
`
`U.J.3
`
`J. J4
`
`t!. OS
`
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`
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`
`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 2 of 6
`
`US 9.402,032 B2
`
`distortion (Centroid)
`
`
`
`a
`
`i.
`
`2
`
`{
`
`} {
`
`3
`S.
`
`... is
`
`is
`
`. A
`5
`
`- i. 3.
`
`ii
`. GG)
`
`... 3
`
`... & O
`
`. 4. Q
`
`-2.poo
`
`---
`
`2.
`
`... COO
`
`dist certiory (3)
`
`3 O ( & 2013
`
`viaxinuit distortion -
`
`3
`
`FIG. C
`
`Apple v. Corephotonics
`
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`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 3 of 6
`
`US 9.402,032 B2
`
`, all
`
`F.C. 2A
`
`
`
`'S O. () () ge.
`T'S 10.00 (deq)
`
`TS 18. ( C (det)
`s
`
`|
`
`?t
`cy
`
`{}
`4)
`-
`O
`t
`
`-3
`s
`s
`O
`
`-o-o:
`- (). 32
`Focus shift in Mill.i. the tests
`
`Polychromatic Li if taglior through, Focus MTF
`ANGLE
`65 / 2 / 2 ol. 3
`Data for Q. 4 35 C. to Q 65 SO a ra.
`Spatia Fre qul G. r. cy: 1.8 O. C. COO Cycles p or min.
`
`FIG.2B
`
`Apple v. Corephotonics
`
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`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 4 of 6
`
`US 9.402,032 B2
`
`distortion (centuroid)
`
`s:
`
`-
`
`
`
`
`
`
`
`C :
`dist. . tisu
`
`(8)
`
`3
`
`6A 23
`
`Maxilstun (ii Stortioi =
`
`
`
`FIG. 2C
`
`22.
`
`C.8 s.
`
`7 65 C. O
`
`i. 5. A O
`
`1. C. C. ()
`
`a
`
`C {
`
`4. 40 C.
`
`2. 2 . ()
`
`{ ... O C
`
`Apple v. Corephotonics
`
`Page 6 of 13
`
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`
`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 5 of 6
`
`US 9.402,032 B2
`
`J.
`
`:
`
`FG, 3A
`
`:
`-
`C
`
`!
`..)
`
`:
`O
`
`-
`
`f
`
`S.
`
`G (de: )
`TS
`ES C. CO (deg}
`
`--------xmi-
`
`i)
`
`J.9
`
`i
`
`---
`
`--------------
`
`98.
`
`-----
`
`:
`
`-
`
`---------------~~~~-->---------- -W-M.------- --- ------------------------------WM---------M.--------------------
`
`M-M.-----------. --M.------...-----
`
`------
`
`3, 4
`
`------
`
`3.3
`,
`
`.--
`
`
`
`:
`
`2.
`
`WMS'm Z -o-swo
`-
`M-7
`
`2-a--- -------
`
`-3.34.
`Fox (; is is is ,
`
`i. 1
`
`Mii. i. i.i.I.Ete tes:
`
`Polychromatic Diffraction. Through Focus MTI'
`
`ANGLE
`3A 9 A2 O 3
`Data for O. 435, O tics O - 65. 6. O arm.
`; Spatial Fre Cuency: 8 O. QQQ O cycles per mia
`
`FIG. 3B
`
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`
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`

`

`U.S. Patent
`
`Jul. 26, 2016
`
`Sheet 6 of 6
`
`US 9.402,032 B2
`
`distortion (centroid)
`
`22. C C C
`
`-2. Oft
`
`ea 23
`3 O
`i-iaxirlin (ii stortio in st
`
`
`
`FIG. 3C
`
`Apple v. Corephotonics
`
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`

`

`1.
`MINATURE TELEPHOTO LENS ASSEMBLY
`
`CROSS REFERENCE TO RELATED
`APPLICATIONS
`
`This application is 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 refer
`ence in its entirety.
`
`FIELD
`
`Embodiments disclosed herein relate to an optical lens
`system and lens assembly, and more particularly, to a minia
`ture telephoto lens assembly included in Such a system and
`used in a portable electronic product such as a cellphone.
`
`BACKGROUND
`
`10
`
`15
`
`Digital camera modules are currently being incorporated
`into a variety of host devices. Such host devices include
`cellular telephones, personal data assistants (PDAs), comput
`25
`ers, and so forth. Consumer demand for digital camera mod
`ules 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 track length
`(TTL). Conventional lens assemblies comprising 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 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
`opticallens assembly that can provide a small TTL/EFL ratio
`and better image quality than existing lens assemblies.
`
`35
`
`30
`
`SUMMARY
`
`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 d on an optical
`axis and separated from the first lens element by a first air gap,
`a third lens element with negative refractive power and sepa
`rated 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, sepa
`rated from the fourth lens element by a fourth air gap, the fifth
`lens element having a thickness ds 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
`Surface of the fifth lens element and an image sensor with an
`image plane on which an image of the object is formed.
`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 elec
`tronic sensor is marked “TTL'. In all embodiments, 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
`
`40
`
`45
`
`50
`
`55
`
`60
`
`65
`
`US 9,402,032 B2
`
`2
`an embodiment, the focal length of the 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 d/2, the third air gap
`is greater than TTL/5 and the fourth air gap is smaller than
`1.5ds. In some embodiments, the surfaces of the lens ele
`ments 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 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 dispersion
`(lowVd) for the second lens element and low dispersion (high
`Vd) for the first and third lens elements, also helps to reduce
`chromatic aberration. In particular, the ratio TTL/EFL <1.0
`and minimal chromatic aberration are obtained by fulfilling
`the relationship 1.2xf3|>|f2|>1.5xf1, where “findicates the
`lens element effective focal length and the numerals 1, 2, 3, 4,
`5 indicate the lens element number.
`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
`lens elements have different dispersions and have respec
`tively positive and negative power, they help in minimizing
`chromatic aberration.
`
`BRIEF DESCRIPTION OF THE DRAWINGS
`
`FIG. 1A shows a first embodiment of an opticallens system
`disclosed herein;
`FIG. 1B shows the modulus of the optical transfer function
`(MTF) vs. focus shift of the entire optical lens assembly for
`various fields in the first embodiment;
`FIG. 1C 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;
`FIG. 2C shows the distortion +Y in 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 embodiment;
`FIG. 3C shows the distortion +Y in percent in the third
`embodiment.
`
`DETAILED DESCRIPTION
`
`In the following description, the shape (convex or concave)
`of a lens element surface is defined as viewed from the respec
`tive side (i.e. from an object side or from an image side). FIG.
`1A shows a first embodiment of an optical lens system dis
`closed herein and marked 100. FIG. 1B shows the MTF vs.
`focus shift of the entire optical lens system for various fields
`in embodiment 100. FIG. 1C shows the distortion +Y in
`percent vs. field. Embodiment 100 comprises 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 Surface 102a and a 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
`
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`

`US 9,402,032 B2
`
`104b; a third plastic lens element 106 with negative refractive
`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 Sur- 5
`face marked 108a and an image-side surface marked 108b;
`and a fifth plastic lens element 110 with negative refractive
`power having a negative meniscus, with a concave object-side
`surface marked 110a and an image-side surface marked 110b. 10
`The optical lens system further comprises an optional glass
`window 112 disposed between the image-side surface 110b
`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 forma- is
`tion
`
`In embodiment 100, all lens element surfaces are 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
`
`#
`
`1
`2
`3
`4
`5
`6
`7
`8
`9
`10
`11
`12
`13
`
`TABLE 1
`
`Comment
`
`Radius R Distances
`mm
`mm
`
`N.V.
`
`Diameter
`mm
`
`Stop
`L11
`L12
`L21
`L22
`L31
`L32
`LA1
`LA2
`LS1
`L52
`Window
`
`Infinite
`1.58OO
`-11-2003
`33.867O
`3.2281
`-12.2843
`7.7138
`-2.3755
`-1.88O1
`-181OO
`-S-2768
`Infinite
`Infinite
`
`-0.466
`O.894
`O.O2O
`O.246
`O449
`O.290
`2.02O
`O.S97
`O.O68
`O.293
`0.617
`O.210
`O.200
`
`15345,57.095
`
`163549,23.91
`
`1.5345,57.095
`
`1.63549,23.91
`
`1.5345,57.095
`1-S168,64.17
`
`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 coef
`ficientk
`
`C2
`
`C3
`
`C4
`
`Cls
`
`C6
`
`-0.4668
`-9.852S
`107569
`14395
`OOOOO
`-9.8953
`O.9938
`- 6.8097
`-7.3161
`OOOOO
`
`2.314.6E-O2
`7.9218E-O3
`2.0647E-04
`2.0102E-O2
`8.6003E-O2
`-19248E-O3
`2.4578E-O1
`5.1029E-03
`4.O134E-O2
`2.1629E-01
`8.2917E-O2
`23297E-O1
`- 1.3522E-O2 -7.O395E-03
`-1.0654E-O1
`12933E-O2
`- 18636E-O1
`8.3105E-02
`-1.1927E-O1
`7.0245E-02
`
`2.365OE-O2
`-33436E-O2
`7.4394E-O3 -1.7529E-O2
`1.1676E-O2 -4.06O7E-O2
`-1.7734E-O1
`2.9848E-O1
`1.3615E-O2
`2.5914E-O3
`-12725E-01
`15691E-O1
`14569E-O2 -15336E-O2
`2.9548E-04 -18317E-O3
`- 18632E-O2
`2.4O12E-O3
`-2.073SE-O2
`2.6418E-03
`
`-9.2437E-O3
`45206E-O3
`1.354SE-O2
`-1332OE-O1
`-12292E-O2
`-5.9624E-O2
`4.3707E-O3
`SO111E-04
`-128.16E-04
`-1.1576E-04
`
`i
`
`2
`3
`4
`5
`6
`7
`8
`9
`10
`11
`
`cr?
`+ air” +
`2 = --
`1 + v 1 - (1 + k)c2 r2
`
`40
`
`45
`
`of curvature (R), lens element thickness and/or distances 35 Embodiment 100 provides a field of view (FOV) of 44
`degrees, with EFL–6.90mm, F#–2.80 and TTL of5.904 mm.
`between elements along the optical axis and diameter are
`Thus and advantageously, the ratio TTL/EFL=0.855. Advan
`expressed in mm “Nd' is the refraction index. The equation of
`tageously, the Abbe number of the first, third and fifth lens
`the aspheric Surface profiles is expressed by:
`element is 57.095. Advantageously, the first air gap 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 d (0.246 mm). Advantageously, 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 1.5ds (0.4395 mm).
`The focal length (in mm) of each lens element in embodi
`ment 100 is as follows: fl=2.645, f2=-5.578, f3=-8.784,
`fA=9.550 and fS=-5.290. The condition 1.2xf3>f2>1.5xf1
`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.
`FIG. 2A shows a second embodiment of an optical lens
`system disclosed herein and marked 200. FIG. 2B shows the
`MTF vs. focus shift of the entire optical lens system for
`various fields in embodiment 200. FIG. 2C shows the distor
`tion +Y in percent vs. field. Embodiment 200 comprises 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 Surface 202a and a convex
`or concave image-side Surface 202b: a second glass lens
`element 204 with negative refractive power, having a menis
`cus convex object-side Surface 204a, with an image side
`surface marked 204b; a third plastic lens element 206 with
`negative refractive power having a concave object-side Sur
`
`where r is distance from (and perpendicular to) the optical
`axis, k is the conic coefficient, c=1/R where R is the radius of
`curvature, and C. are coefficients given in Table 2. In the
`equation above as applied to embodiments of a lens assembly
`disclosed herein, coefficients C and C., 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 “Limn” (where
`m refers to the lens element number, n=1 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-0.
`Each number is measured from the previous surface. Thus,
`the first distance -0.466 mm is measured from the stop to
`surface 102a, the distance L11 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,
`L21=d and L51 =ds.
`
`50
`
`55
`
`60
`
`65
`
`Apple v. Corephotonics
`
`Page 10 of 13
`
`Apple Ex. 1027 / IPR2019-00030
`
`

`

`6
`5
`face 206a with an inflection point and a concave image-side
`isfied, as 1.2x10.279)-5.468>1.5x2.851. f1 also fulfills the
`surface 206b; a fourth plastic lens element 208 with positive
`condition fl-TTL/2, as 2.851<2.950.
`refractive power having a positive meniscus, with a concave
`FIG. 3A shows a third embodiment of an optical lens
`object-side Surface marked 208a and an image-side Surface
`marked 208b; and a fifth plastic lens element 210 with nega- 5 system disclosed herein and marked 3 00. FIG. 3B shows the
`tive refractive power having a negative meniscus, with a con-
`MTF vs. focus shift of the entire optical lens system for
`cave object-side Surface marked 110a and an image-side Sur-
`various fields in embodiment 300. FIG. 3C shows the distor
`face marked 210b. The optical lens system further comprises
`tion +Y in percent vs. field. Embodiment 300 comprises in
`an optional glass window 212 disposed between the image-
`order from an object side to an image side: an optional stop
`side surface 210b of fifth lens element 210 and an image plane 10 301; a first glass lens element 302 with positive refractive
`214 for image formation of an object.
`power having a convex object-side Surface 302a and a convex
`In embodiment 200, all lens element surfaces are aspheric.
`or concave image-side Surface 302b: a second plastic lens
`Detailed optical data is given in Table 3, and the aspheric
`element 204 with negative refractive power, having a menis
`Surface data is given in Table 4, wherein the markings and
`cus convex object-side Surface 304a, with an image side
`units are the same as in, respectively, Tables 1 and 2. The 15 surface marked 304b; a third plastic lens element 306 with
`equation of the aspheric surface profiles is the same as for
`negative refractive power having a concave object-side Sur
`embodiment 100.
`face 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
`Diameter 2O object-side Surface marked 308a and an image-side Surface
`mm
`marked 308b; and a fifth plastic lens element 310 with nega
`2.5
`t1Ve refractive power having a negative meniscus, with a CO
`2.6
`cave object-side Surface marked 310a and an image-side Sur
`2.6
`25 face marked 310b. The optical lens system further comprises
`2.1
`an optional glass window 312 disposed between the image
`1.8
`1.8
`side surface 310b of fifth lens element 310 and an image plane
`1.7
`314 for image formation of an object.
`3.2
`3.6
`In embodiment 300, all lens element surfaces are aspheric.
`3.9
`30 Detailed optical data is given in Table 5, and the aspheric
`4.3
`Surface data is given in Table 6, wherein the markings and
`5.4
`5.5
`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 3
`Radius R Distances
`mm
`mm
`Infinite
`-0.592
`1.5457
`0.898
`-127.7249
`O.129
`6.6065
`O.251
`2.8090
`O.443
`9.6183
`0.293
`3.4694
`1766
`-2.6432
`0.696
`-1.8663
`O.106
`-14933
`0330
`-4.1588
`0.649
`Infinite
`O.210
`Infinite
`O.130
`
`Comment
`Stop
`L11
`L12
`L21
`L22
`L31
`L32
`LA1
`LA2
`LS1
`L52
`Window
`
`#
`1
`2
`3
`4
`5
`6
`7
`8
`9
`10
`11
`12
`13
`
`US 9,402,032 B2
`
`N.V.
`
`1.53463.56.18
`
`191266,20.65
`1.S3463.56.18
`
`1.632445, 23.35
`
`1.S3463.56.18
`
`1516864.17
`
`TABLE 4
`
`Conic coef
`ficientk
`
`C2
`
`C3
`
`C4
`
`Cls
`
`C6
`
`OOOOO
`-10.O119
`10.O220
`7.29O2
`OOOOO
`8.1261
`OOOOO
`OOOOO
`-4.7688
`O.OOE--OO
`
`2-8779E-04
`-2.7367E-O3
`4079OE-02 -18379E-02
`4.6151E-O2
`5832OE-O2
`3.6O28E-O2
`1.1436E-O1
`16639E-O1
`5.6754E-O2
`15353E-O1
`8.1427E-O2
`-3.2628E-O2
`19535E-O2
`15173E-O2 -1.2252E-O2
`-1.4736E-O1
`7.6335E-02
`-8.3741E-O2
`4.266OE-O2
`
`3.OO69E-03 -12282E-O3
`-4.3661E-O3
`-1.77O6E-O2
`4.964OE-03
`22562E-O2
`-2.0919E-O2 -12846E-O2
`8.8283E-03
`-19022E-O2
`4.7992E-O3 -3.4O79E-03
`-12238E-O2 - 18648E-O2
`19292E-O2
`-15773E-O1
`153O3E-O1 -4.6064E-O2
`-1.6716E-O2 -20132E-03
`2.O112E-03
`33611E-O3
`-2.53O3E-O3
`8.4038E-04
`-2.5539E-O2
`5.5897E-O3 -5.O29OE-04
`-84.866E-O3
`12183E-04
`7.2785E-05
`
`i
`
`2
`3
`4
`5
`6
`7
`8
`9
`10
`11
`
`SO
`
`...
`Embodiment 200 provides a FOV of 43.48 degrees, with
`EFL=7 mm, F #–2.86 and TTL=5.90 mm. Thus and advan
`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 55
`has a thickness (0.129 mm) which is about half the thickness
`d (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 ele-
`ments 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 1.5xds (0.495mm).
`The focal length (in mm) of each lens element in embodi- 65
`ment 200 is as follows: fl=2.851, f2=-5.468, f3=-10.279,
`f4–7.368 and fS=-4.536. 1.2xf3|>|f2|>1.5xf1 is clearly sat
`
`60
`
`TABLE 5
`
`1
`
`t
`# C
`Ollel
`Stop
`E.
`L21
`4
`L22
`S
`L31
`6
`L32
`7
`L41
`8
`L42
`9
`LS1
`10
`L52
`11
`12 Window
`13
`
`Distances
`Radius R
`mm
`mm
`-0.38
`Infinite
`5. C.
`8.4411
`O.254
`2.6181
`O.426
`-17.9618
`O.26S
`4.5841
`1998
`-2.8827
`O.S14
`- 19771
`O.121
`-1.8665
`O431
`-6,3670
`O.S38
`Infinite
`O.210
`Infinite
`O.200
`
`NFV
`
`1.514863.1
`1.63549,23.91
`
`1.5345,57.09
`1.63549,23.91
`
`1.5345,57.09
`
`1.S168,64.17
`
`Diameter
`mm
`2.4
`3.
`2.1
`1.8
`1.8
`1.7
`3.4
`3.7
`4.0
`4.4
`3.0
`3.0
`
`Apple v. Corephotonics
`
`Page 11 of 13
`
`Apple Ex. 1027 / IPR2019-00030
`
`

`

`US 9,402,032 B2
`
`8
`
`7
`
`TABLE 6
`
`Conic coef
`ficientk
`
`C2
`
`C3
`
`C4
`
`Cls
`
`C6
`
`-O-534
`-13473
`-10.132
`5.180
`O.OOO
`10.037
`1.703
`-1.456
`-6.511
`OOOO
`
`1.3253E-O2
`3.OO77E-O2
`7.0372E-04
`-1921OE-03
`2.678OE-O1
`2.766OE-O1
`2.6462E-O2
`S.7704E-O3
`-2.1699E-O1
`-1512OE-O1
`
`2.3699E-02
`4.7972E-03
`1.1328E-O1
`2.3799E-01
`18129E-O2
`-1.0291E-O2
`-1.2633E-O2
`-18826E-O2
`13692E-O1
`8.6614E-O2
`
`17853E-O2
`-2.85O1E-O2
`1447SE-O2 -1849OE-O2
`12346E-O3 -4.2655E-O2
`-8.805SE-O2
`2.1447E-O1
`-17323E-O2
`3.7372E-O2
`- 6.0955E-O2
`7.5235E-O2
`-4.7724E-04 -3.2762E-03
`S.1593E-03 -2.9999E-03
`-4.2629E-O2
`68371E-O3
`-2.3324E-O2
`2.7361E-O3
`
`-4.0314E-03
`4.3565E-03
`8.8625E-03
`-1.2702E-O1
`-2.1356E-O2
`-1.6521E-O2
`16SS1E-03
`8.0685E-04
`-4.1415E-04
`-1.1236E-04
`
`i
`
`2
`3
`4
`5
`6
`7
`8
`9
`10
`11
`
`15
`
`30
`
`35
`
`40
`
`45
`
`5. The lens assembly of claim 4, wherein a focal length fl
`Embodiment 300 provides a FOV of 44 degrees, EFL–6.84
`of the first lens element is smaller than TTL/2.
`mm, F #=2.80 and TTL=5.904 mm. Thus and advanta-
`6. The lens assembly of claim 4, wherein a lens assembly F
`geously, the ratio TTL/EFL=0.863. Advantageously, the
`it is smaller than 2.9.
`Abbe number of the first lens element is 63.1, and of the third
`7. The lens assembly of claim 6, wherein the first lens
`and fifth lens elements is 57.09. The first air gap between lens 20
`element has an Abbe number greater than 50 and the second
`elements 302 and 304 has a thickness (0.029 mm) which is
`lens element has an Abbe number smaller than 30.
`about Mo' the thickness d (0.254mm). Advantageously, the
`8. The lens assembly of claim 7. wherein one of the fourth
`Abbe number of the second and fourth lens elements is 23.91.
`and fifth lens elements that has a positive refractive power is
`Advantageously, the third air gap between lens elements 306
`and 308 has a thickness (1.998 mm) greater than TTL/5 25 characterized by an Abbe number smaller than 30 and
`(5.904/5 mm). Advantageously, the fourth air gap between
`wherein the other of the fourth and fifth lens elements that has
`lens elements 208 and 210 has a thickness (0.121 mm) which
`a negative refractive power is characterized by an Abbe num
`is less than 1.5ds (0.6465mm).
`ber greater than 50, thereby adding compensation for chro
`The focal length (in mm) of each lens element in embodi
`matic aberrations and assisting in bringing all fields focal
`ment 300 is as follows: fl=2.687, f2=-6.016, f3=-6.777,
`points to an image plane.
`f4–8.026 and fS=-5.090. 1.2xf3|>|f2|>1.5xf1 is clearly sat
`9. The lens assembly of claim 8, wherein the third, fourth
`isfied, as 1.2x6.777>6.016>1.5x2.687, f1 also fulfills the
`and fifth lens element are made of plastic.
`condition fl-TTL/2, as 2.687<2.952.
`10. The lens assembly of claim 8, wherein all the lens
`While this disclosure has been described interms of certain
`elements are made of plastic.
`embodiments and generally associated methods, alterations
`11. The lens assembly of claim 8, wherein the first lens
`and permutations of the embodiments and methods will be
`element has a convex object-side Surface and a convex or
`apparent to those skilled in the art. The disclosure is to be
`concave image-side Surface and wherein the second lens ele
`understood as not limited by the specific embodiments
`ment is a meniscus lens having a convex object-side surface.
`described herein, but only by the scope of the appended
`12. The lens assembly of claim 11, wherein the focal length
`claims.
`fl, a focal length f2 of the second lens element and a focal
`length f3 of the third lens element fulfill the condition 1.2x
`f3>f2>1.5.xf1
`13. The lens assembly of claim 1, wherein the first lens
`element has an Abbe number greater than 50 and the second
`lens element has an Abbe number smaller than 30.
`14. The lens assembly of claim 13, wherein the first lens
`element has a convex object-side Surface and a convex or
`concave image-side Surface and wherein the second lens ele
`ment is a meniscus lens having a convex object-side surface.
`15. The lens assembly of claim 14, whereina lens assembly
`F it is smaller than 2.9.
`16. The lens assembly of claim 15, wherein the plurality of
`lens elements further comprises a third lens element with
`negative refractive power, a fourth lens element and a fifth
`lens element, wherein one of the fourth and fifth lens elements
`has a positive refractive power and the other of the fourth and
`the fifth lens elements has a negative refractive power.
`17. The lens assembly of claim 16, wherein the third, fourth
`and fifth lens element are made of plastic, and wherein the
`fourth and fifth lens elements are separated by a second air
`gap which is smaller than TTL/20.
`18. The lens assembly of claim 16, wherein one of the
`fourth and fifth lens elements that has a positive refractive
`power is characterized by an Abbe number smaller than 30
`and wherein the other lens element of the fourth and fifth lens
`elements that has a negative refractive power is characterized
`by an Abbe number greater than 50, thereby adding compen
`
`The invention claimed is:
`1. A lens assembly, comprising: a plurality of refractive
`lens elements arranged along an optical axis, 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), and wherein the lens assembly has a total track
`length (TTL) of 6.5 millimeters or less and a ratio TTL/EFL
`of less than 1.0, wherein the plurality of lens elements com
`prises, in order from an object side to an image side, a first lens
`50
`element with positive refractive power and a second lens
`element with negative refractive power, wherein a focal
`length fl of the first lens element is smaller than TTL/2.
`2. The lens assembly of claim 1, wherein the plurality of
`lens elements further comprises, in order from an object side
`55
`to an image side, a third lens element with negative refractive
`power, and a fourth element, wherein the third and fourth lens
`elements are separated by an air gap which is greater than
`TTL/5.
`3. The lens assembly of claim 2, wherein the plurality of
`lens elements further comprises a fifth lens element, wherein
`one of the fourth and the fifth lens elements has a positive
`refractive power and the other of the fourth and fifth lens
`elements has a negative refractive power.
`4. The lens assembly of claim 3, wherein the fourth lens
`element and the fifth lens element are separated by a second
`air gap which is smaller than TTL/20.
`
`60
`
`65
`
`Apple v. Corephotonics
`
`Page 12 of 13
`
`Apple Ex. 1027 / IPR2019-00030
`
`

`

`10
`
`US 9,402,032 B2
`
`9
`sation for chromatic aberrations and assisting in bringing all
`fields focal points to an image plane.
`19. The lens assembly of claim 18, wherein the focal length
`f1, a focal length f2 of the second lens element and a focal
`length f3 of the third lens element fulfill the condition 1.2x 5
`f3>|f2>1.5.xf1
`20. A lens assembly having a total track lens (TTL) smaller
`than an effective focal length (EFL) thereof and comprising:
`a plurality of lens elements made of at least two different
`polymer materials having different Abbe numbers and includ- 10
`ing, in order from an object plane to an image plane along an
`optical axis of the lens assembly, a first lens element having
`positive optical power and a pair of second and third lenses
`having each a negative optical power, the combination of the
`first, second and third lens elements providing the lens assem- 15
`bly with a ratio TTL/EFL <1, wherein the second and third
`lens elements are each made of a different one of the at least
`two polymer materials having a different Abbe number to
`reduce chromatic aberrations of the lens assembly, the plu
`rality of lens elements further including a combination of 20
`fourth and fifth lens elements configured to assist in bringing
`all fields focal points to the image plane, wherein the third and
`fourth lens elements are separated by an air gap which is
`gre