US010317647B2
`
`( 12 ) United States Patent
`Dror et al .
`
`( 10 ) Patent No . : US 10 , 317 , 647 B2
`( 45 ) Date of Patent :
`* Jun . 11 , 2019
`
`( 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 )
`Subject to any disclaimer , the term of this
`( * ) Notice :
`patent is extended or adjusted under 35
`U . S . C . 154 ( b ) by 0 days .
`This patent is subject to a terminal dis
`claimer .
`( 21 ) Appl . No . : 15 / 976 , 422
`May 10 , 2018
`( 22 )
`Filed :
`Prior Publication Data
`( 65 )
`US 2018 / 0275375 A1 Sep . 27 , 2018
`Related U . S . Application Data
`Continuation of application No . 15 / 817 , 235 , filed on
`Nov . 19 , 2017 , which is a continuation of application
`( Continued )
`
`( 63 )
`
`( 51 )
`
`( 52 )
`
`Int . Ci .
`G02B 13 / 00
`( 2006 . 01 )
`G02B 13 / 02
`( 2006 . 01 )
`( Continued )
`U . S . CI .
`CPC . . . . . . . . . G02B 13 / 0045 ( 2013 . 01 ) ; G02B 1 / 041
`( 2013 . 01 ) ; G02B 9 / 60 ( 2013 . 01 ) ;
`( Continued )
`
`( 56 )
`
`( 58 ) Field of Classification Search
`CPC . . GO2B 13 / 0045 ; GO2B 9 / 60 ; GO2B 27 / 0025 ;
`GO2B 5 / 005 ; GO2B 13 / 02 ; G02B 1 / 041 ;
`( Continued )
`References Cited
`U . S . PATENT DOCUMENTS
`2 , 354 , 503 A
`7 / 1944 Cox
`2 , 378 , 170 A
`6 / 1945 Aklin
`( Continued )
`
`CN
`JP
`
`FOREIGN PATENT DOCUMENTS
`104297906 A
`1 / 2015
`1966006865
`4 / 1966
`( Continued )
`OTHER PUBLICATIONS
`A compact and cost effective design for cell phone zoom lens ,
`Chang et al . , Sep . 2007 , 8 pages .
`( Continued )
`Primary Examiner - Evelyn A Lester
`( 74 ) Attorney , Agent , or Firm — Nathan & Associates ;
`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 f1 < 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 .
`12 Claims , 6 Drawing Sheets
`
`110
`
`101
`
`102
`108 - 1100
`102 102 104 106
`102 106
`
`ASAAN
`
`M
`
`102a
`
`Toda 104
`1020
`
`erup
`CM 1100
`
`m
`
`Whennementen
`wwwwwww
`
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`US 10 , 317 , 647 B2
`Page 2
`
`GO2B 9 / 60
`
`GO2B 9 / 60
`
`6 / 2011 Tang et al .
`7 , 961 , 406 B2
`8 / 2011 Tsai
`8 , 000 , 031 B1
`8 / 2011 Souma
`8 , 004 , 777 B2
`8 , 046 , 026 B2 10 / 2011 Koa
`8 , 072 , 695 B1 12 / 2011 Lee et al .
`8 , 077 , 400 B2 | 12 / 2011 Tang
`8 , 149 , 523 B2
`4 / 2012 Ozaki
`8 , 218 , 253 B2
`7 / 2012 Tang
`8 , 228 , 622 B2
`7 / 2012 Tang
`8 , 233 , 224 B2
`7 / 2012 Chen
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`8 / 2012 Lin
`8 . 279 . 537 B2 10 / 2012 Sato
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`8 , 363 , 337 B2
`1 / 2013 Tang et al .
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`3 / 2013 Tang et al .
`8 , 400 , 717 B2
`3 / 2013 Chen et al .
`3 , 451 , 549 A1 5 / 2013 Yamanaka et al .
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`8 / 2013 Chen et al .
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`8 / 2013 Tang et al .
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`8 / 2013 Chen
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`10 / 2013 Scarff
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`5 / 2014 Goldenberg et al .
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`7 / 2014 Chae
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`8 / 2014 Shinohara
`8 , 854 , 745 B1 10 / 2014 Chen
`8 , 958 , 164 B2
`2 / 2015 Kwon et al .
`9 , 185 , 291 B1 11 / 2015 Shabtay et al .
`9 , 229 , 194 B21 / 2016 Yoneyama et al .
`9 , 235 , 036 B2
`1 / 2016 Kato et al .
`9 , 279 , 957 B2
`3 / 2016 Kanda et al .
`9 , 402 , 032 B2 *
`7 / 2016 Dror . . . .
`9 , 405 , 099 B2
`8 / 2016 Jo et al .
`9 , 438 , 792 B2
`9 / 2016 Nakada et al .
`9 , 488 , 802 B2
`11 / 2016 Chen et al .
`9 , 568 , 712 B2 *
`2 / 2017 Dror . . . .
`9 , 678 , 310 B2
`6 / 2017 Iwasaki et al .
`9 , 817 , 213 B2 11 / 2017 Mercado
`9 , 857 , 568 B2 *
`1 / 2018 Dror . . . . . . . . . . . . . . . . . . GO2B 13 / 0045
`2005 / 0141103 A1 6 / 2005 Nishina
`2005 / 0168840 A18 / 2005 Kobayashi et al .
`2006 / 0187312 A1
`8 / 2006 Labaziewicz et al .
`2007 / 0229983 Al 10 / 2007 Saori
`2007 / 0229987 A1 10 / 2007 Shinohara
`2008 / 0166115 A17 / 2008 Sachs et al .
`2008 / 0187310 A1
`8 / 2008 Janson et al .
`2008 / 0218613 Al
`9 / 2008 Janson et al .
`2008 / 0304161 AL 12 / 2008 Souma
`2009 / 0002839 AL
`1 / 2009 Sato
`2009 / 0122423 A1 5 / 2009 Park et al .
`2010 / 0254029 Al 10 / 2010 Shinohara
`2011 / 0001838 A1
`1 / 2011 Lee
`2011 / 0080487 Al
`4 / 2011 Vankataraman et al .
`2011 / 0115965 Al 5 / 2011 Engelhardt et al .
`2012 / 0087020 A1 4 / 2012 Tang et al .
`2012 / 0092777 Al
`4 / 2012 Tochigi et al .
`2012 / 0105708 A1 5 / 2012 Hagiwara
`2012 / 0154929 A1 6 / 2012 Tsai et al .
`2012 / 0314296 Al 12 / 2012 Shabtay et al .
`2013 / 0003195 AL
`1 / 2013 Kubota et al .
`2013 / 0038947 Al 2 / 2013 Tsai et al .
`2013 / 0208178 A1
`8 / 2013 Park
`2013 / 0286488 AL 10 / 2013 Chae
`2014 / 0022436 A11 / 2014 Kim et al .
`2014 / 0029116 A1
`1 / 2014 Tsai et al .
`2014 / 0204480 A1 7 / 2014 Jo et al .
`2014 / 0285907 A1 9 / 2014 Tang et al .
`2014 / 0293453 Al 10 / 2014 Ogino
`2014 / 0362274 Al 12 / 2014 Christie et al .
`2015 / 0029601 A1
`1 / 2015 Dror et al .
`2015 / 0085174 A1
`3 / 2015 Shabtay et al .
`2015 / 0116569 Al 4 / 2015 Mercado
`2015 / 0253647 AL
`9 / 2015 Mercado
`2016 / 0085089 A1 3 / 2016 Mercado
`2016 / 0187631 A1 6 / 2016 Choi et al .
`2016 / 0313537 Al 10 / 2016 Mercado
`2017 / 0102522 AL
`4 / 2017 Jo
`2017 / 0115471 A14 / 2017 Shinohara
`
`( 56 )
`
`( 51 )
`
`( 52 )
`
`( 2006 . 01 )
`( 2006 . 01 )
`( 2006 . 01 )
`( 2006 . 01 )
`( 2006 . 01 )
`( 2006 . 01 )
`( 2006 . 01 )
`
`Related U . S . Application Data
`No . 15 / 418 , 925 , filed on Jan . 30 , 2017 , now Pat . No .
`9 , 857 , 568 , which is a continuation 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 .
`Int . Ci .
`GO2B 9 / 60
`GO2B 27 / 00
`GO2B 1 / 04
`GO2B 27 / 64
`GO2B 5 / 00
`GO2B 9 / 00
`H04N 101 / 00
`U . S . CI .
`CPC . . . . . . . . . GO2B 13 / 02 ( 2013 . 01 ) ; G02B 27 / 0025
`( 2013 . 01 ) ; G02B 27 / 646 ( 2013 . 01 ) ; G02B
`5 / 005 ( 2013 . 01 ) ; GO2B 9 / 00 ( 2013 . 01 ) ; GO2B
`13 / 002 ( 2013 . 01 ) ; H04N 2101 / 00 ( 2013 . 01 ) ;
`H04N 2201 / 00 ( 2013 . 01 ) ; Y1OT 29 / 4913
`( 2015 . 01 )
`( 58 ) Field of Classification Search
`CPC . . . . . GO2B 13 / 002 ; GO2B 9 / 00 ; GO2B 27 / 646 ;
`HO4N 2201 / 00 ; Y10T 29 / 4913
`USPC . . . . . . . . .
`. . . . . . . . 359 / 714 , 739 , 740 , 763 , 764
`See application file for complete search history .
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`
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`US 10 , 317 , 647 B2
`Page 3
`
`( 56 )
`
`References Cited
`U . S . PATENT DOCUMENTS
`5 / 2018 Dror . . . . . . . . . . . . . . . GO2B 13 / 0045
`2018 / 0120541 A1 *
`8 / 2018 Lee et al .
`2018 / 0224630 AL
`2018 / 0275374 A1 *
`9 / 2018 Dror . . . . . . . . . . . . . . . . . . GO2B 13 / 0045
`FOREIGN PATENT DOCUMENTS
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`
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`12 / 2014
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`
`OTHER PUBLICATIONS
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`panomorph lenses , Thibault et al . , Sep . 2014 , 7 pages .
`Optical design of camera optics for mobile phones , Steinich et al . ,
`2012 , pp . 51 - 58 ( 8 pages ) .
`The Optics of Miniature Digital Camera Modules , Bareau et al . ,
`2006 , 11 pages .
`Modeling and measuring liquid crystal tunable lenses , Peter P .
`Clark , 2014 , 7 pages .
`Mobile Platform Optical Design , Peter P . Clark , 2014 , 7 pages .
`* cited by examiner
`
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`atent
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`Jun . 11 , 2019
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`Sheet 1 of 6
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`US 10 , 317 , 647 B2
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`101
`1
`
`102 103
`102 104 106
`( 106a
`7 perang
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`FIG . 1A
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`atent
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`Jun . 11 , 2019
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`Sheet 2 of 6
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`US 10 , 317 , 647 B2
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`
`
`OTF OOO ONCOL
`
`Modulus of the
`
`TS O
`
`0 . 2
`0 . 11
`0 . 01
`- 0 . 05 - 0 . 04 - 0 . 03 - 0 . 02 - 0 . 01 0
`Focus shift ( mm )
`Polychromatic Diffraction Through Focus MTF
`Angle 6 / 2 / 2013
`Data for 0 . 4350 to 0 . 6560 um .
`Spatial Frequency : 180 . 0000 cycles / mm .
`
`Distortion ( centroid )
`
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`30 / 06 / 2013
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`FIG . 1B
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`17 . 600
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`13 . 200
`11 . 000
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`6 . 600
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`
`FIG . 1C
`
`Field ( deg )
`
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`Jun . 11 , 2019
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`Sheet 3 of 6
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`US 10 , 317 , 647 B2
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`202 2
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`FIG . 2A
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`atent
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`Jun . 11 , 2019
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`Sheet 4 of 6
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`US 10 , 317 , 647 B2
`
`*
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`Focus shift ( mm )
`Polychromatic Diffraction Through Focus MTF
`Angle 6 / 2 / 2013
`Data for 0 . 4350 to 0 . 6560 um .
`Spatial Frequency : 180 . 0000 cycles / mm .
`
`Distortion ( centroid )
`
`wwwwwww
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`
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`
`FIG . 2B
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`FIG . 20
`
`Field ( deg )
`
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`Sheet 5 of 6
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`US 10 , 317 , 647 B2
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`308
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`FIG . 3A
`
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`Sheet 6 of 6
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`US 10 , 317 , 647 B2
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`1
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`Modulus of the OTF
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`Focus shift ( mm )
`Polychromatic Diffraction Through Focus MTF
`Angle 6 / 9 / 2013
`Data for 0 . 4350 to 0 . 6560 um .
`Spatial Frequency : 180 . 0000 cycles / mm .
`
`FIG . 3B
`
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`
`FIG . 3C
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`US 10 , 317 , 647 B2
`
`MINIATURE TELEPHOTO LENS ASSEMBLY
`
`An optical lens system incorporating the lens assembly
`may further include a stop positioned before the first lens
`CROSS REFERENCE TO RELATED
`element , a glass window disposed between the image - side
`APPLICATIONS
`surface of the fifth lens element and an image sensor with an
`5 image plane on which an image of the object is formed .
`The effective focal length of the lens assembly is marked
`This application is a Continuation application of U . S .
`“ EFL ” and the total track length on an optical axis between
`patent application Ser . No . 15 / 817 , 235 filed Nov . 19 , 2017 ,
`the object - side surface of the first lens element and the
`which was a Continuation application of U . S . patent appli
`electronic sensor is marked “ TTL ” . In all embodiments ,
`cation Ser . No . 15 / 418 , 925 filed Jan . 30 , 2017 , now U . S . Pat .
`No . 9 , 857 , 568 , which was a Continuation in Part application 10 TTL is smaller than the EFL , i . e . the TTL / EFL ratio is
`smaller than 1 . 0 . In some embodiments , the TTL / EFL ratio
`of U . S . patent application Ser . No . 15 / 170 , 472 filed Jun . 1 ,
`is smaller than 0 . 9 . In an embodiment , the TTL / EFL ratio is
`2016 , now U . S . Pat . No . 9 , 568 , 712 , which was a Continu
`about 0 . 85 . In all embodiments , the lens assembly has an F
`ation application of U . S . patent application Ser . No . 14 / 932 ,
`number F # < 3 . 2 . In an embodiment , the focal length of the
`319 filed Nov . 4 , 2015 , now U . S . Pat . No . 9 , 402 , 032 , which 15 first lens element fl is smaller than TTL / 2 , the first , third and
`was a Continuation application of U . S . patent application
`fifth lens elements have each an Abbe number ( “ Vd ” )
`Ser . No . 14 / 367 , 924 filed Jun . 22 , 2014 , now abandoned ,
`greater than 50 , the second and fourth lens elements have
`which was a 371 Continuation application of international
`each an Abbe number smaller than 30 , the first air gap is
`application PCT / IB2014 / 062465 filed Jun . 20 , 2014 , and is
`smaller than d , / 2 , the third air gap is greater than TTL / 5 and
`related to and claims priority from U . S . Provisional Patent 20 the fourth air gap is smaller than 1 . 5 ds . In some embodi
`ments , the surfaces of the lens elements may be aspheric .
`Application No . 61 / 842 , 987 filed Jul . 4 , 2013 , which is
`incorporated herein by reference in its entirety .
`In an optical lens assembly disclosed herein , the first lens
`element with positive refractive power allows the TTL of the
`FIELD
`lens system to be favorably reduced . The combined design
`25 of the first , second and third lens elements plus 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 Vd ) for the second lens element and low disper
`and used in a portable electronic product such as a cell -
`sion ( high Vd ) for the first and third lens elements , also helps
`30 to reduce chromatic aberration . In particular , the ratio TTLI
`phone .
`EFL < 1 . 0 and minimal chromatic aberration are obtained by
`BACKGROUND
`fulfilling the relationship 1 . 2x | f31 > | f2 | > 1 . 5xfi , where " D "
`indicates the lens element effective focal length and the
`numerals 1 , 2 , 3 , 4 , 5 indicate the lens element number .
`Digital camera modules are currently being incorporated
`The conditions TTL / EFL < 1 . 0 and F # < 3 . 2 can lead to a
`into a variety of host devices . Such host devices include 35
`large ratio L11 / Lle ( e . g . larger than 4 ) between the largest
`cellular telephones , personal data assistants ( PDAs ) , com -
`width ( thickness ) L11 and the smallest width ( thickness ) of
`puters , and so forth . Consumer demand for digital camera
`the first lens element ( facing the object ) Lle . The largest
`modules in host devices continues to grow . Cameras in
`width is along the optical axis and the smallest width is of
`cellphone devices in particular require a compact imaging
`lens system for good quality imaging and with a small total 40 a flat circumferential edge of the lens element . L11 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
`L11 / 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 45 element to have a L11 / Lle ratio smaller than 4 , smaller than
`suffers from at least the fact that the TTL / EFL ( effective
`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
`Therefore , 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 L11 / Lle ratio improves the manufacturability and
`ratio and better image quality than existing lens assemblies . 50 increases the quality of lens assemblies disclosed herein .
`The relatively large distance between the third and the
`SUMMARY
`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
`Embodiments disclosed herein refer to an optical lens
`assembly comprising , in order from an object side to an 55 lens elements have different dispersions and have respec
`image side : a first lens element with positive refractive
`tively positive and negative power , they help in minimizing
`power having a convex object - side surface , a second lens
`chromatic aberration .
`element with negative refractive power having a thickness
`BRIEF DESCRIPTION OF THE DRAWINGS
`d , on an optical axis and separated from the first lens
`element by a first air gap , a third lens element with negative 60
`refractive power and separated from the second lens element
`FIG . 1A shows a first embodiment of an optical lens
`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 . 1B 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 65 for various fields in the first embodiment ;
`a fourth air gap , the fifth lens element having a thickness da
`FIG . 1C shows the distortion vs . field angle ( + Y direction )
`in percent in the first embodiment ;
`on the optical axis .
`
`APPL-1001 / Page 10 of 14
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 10 , 317 , 647 B2
`
`eter are expressed in mm . “ Nd ” is the refraction index . The
`equation of the aspheric surface profiles is expressed by :
`
`Cr ?
`1 + V1 – ( 1 + k _ c27 2
`
`-
`
`+ air
`
`Q2r4 + Q3n6 + 248 + @ splº + Qfml2 + Q7p24
`
`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 10
`lite 10 where r is distance from ( and perpendicular to ) the optical
`optical lens system for various fields in the third embodi
`axis , k is the conic coefficient , c = 1 / R where R is the radius
`ment ;
`of curvature , and a are coefficients given in Table 2 In the
`FIG . 3C shows the distortion + Y in percent in the third
`equation above as applied to embodiments of a lens assem
`embodiment .
`bly disclosed herein , coefficients a , and a , are zero . Note
`15 that the maximum value of r “ max r ” = Diameter / 2 . Also note
`DETAILED DESCRIPTION
`that Table 1 ( and in Tables 3 and 5 below ) , the distances
`between various elements and / or surfaces ) are marked
`In the following description , the shape ( convex or con
`“ Lmn " ( where m refers to the lens element number , n = 1
`cave ) of a lens element surface is defined as viewed from the
`respective side ( i . e . from an object side or from an image 20 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 ,
`side ) . FIG . 1A shows a first embodiment of an optical lens
`wherein the stop is at z = 0 . Each number is measured from
`system disclosed herein and marked 100 . FIG . 1B shows the
`the previous surface . Thus , the first distance - 0 . 466 mm is
`MTF vs . focus shift of the entire optical lens system for
`measured from the stop to surface 102a , the distance L11
`various fields in embodiment 100 . FIG . 1C shows the
`from surface 102a to surface 102b ( i . e . the thickness of first
`distortion + Y in percent vs . field . Embodiment 100 com - 25 lens element 102 ) is 0 . 894 mm , the gap L12 between
`prises in order from an object side to an image side : an
`surfaces 102b and 104a is 0 . 020 mm , the distance L21
`optional stop 101 ; a first plastic lens element 102 with
`between surfaces 104a and 104b ( i . e . thickness d2 of second
`positive refractive power having a convex object - side sur
`lens element 104 ) is 0 . 246 mm , etc . Also , L21 = d , and
`face 102a and a convex or concave image - side surface 102b ;
`L51 = da . L11 for lens element 102 is indicated in FIG . 1A .
`a second plastic lens element 104 with negative refractive 30 Also indicated in FIG . 1A is a width Lle of a flat circum
`power and having a meniscus convex object - side surface
`ferential edge ( or surface ) of lens element 102 . L11 and Lle
`104a , with an image side surface marked 104b ; a third
`are also indicated for each of first lens elements 202 and 302
`plastic lens element 106 with negative refractive power
`in , respectively , embodiments 200 ( FIG . 2A ) and 300 ( FIG .
`having a concave object - side surface 106a with an inflection
`point and a concave image - side surface 106b ; a fourth 35 SA
`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
`108b ; and a fifth plastic lens element 110 with negative
`refractive power having a negative meniscus , with a concave 40 –
`object - side surface marked 110a and an image - side surface
`marked 110b . 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 45
`sensor ( not shown ) is disposed at image plane 114 for the
`image formation .
`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 50
`of the radius of curvature ( R ) , lens element thickness and / or
`distances between elements along the optical axis and diam
`
`TABLE 1
`Distances
`[ mm ]
`- 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
`
`Radius R
`[ mm ]
`Infinite
`1 . 5800
`- 11 . 2003
`33 . 8670
`3 . 2281
`- 12 . 2843
`7 . 7138
`- 2 . 3755
`- 1 . 8801
`- 1 . 8100
`- 5 . 2768
`Infinite
`Infinite
`
`tina
`
`Comment
`#
`Stop
`1
`2 L11
`3 L12
`4 L21
`L22
`6 L31
`7 L32
`8 L41
`9 L42
`10 L51
`11 L52
`12 Window
`13
`
`Nd / Vd
`
`1 . 5345 / 57 . 095
`1 . 63549 / 23 . 91
`
`1 . 5345 / 57 . 095
`
`1 . 63549 / 23 . 91
`1 . 5345 / 57 . 095
`
`1 . 5168 / 64 . 17
`
`Diameter
`[ mm ]
`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
`
`#
`
`mtina o
`
`11
`
`az
`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
`
`Az alaga
`2 . 3146E - 02
`- 3 . 3436E - 02
`2 . 3650E - 02
`- 9 . 2437E - 03
`2 . 0647E - 04
`7 . 4394E - 03
`- 1 . 7529E - 02
`4 . 5206E - 03
`- 4 . 0607E - 02
`1 . 3545E - 02
`1 . 1676E - 02
`8 . 6003E - 02
`2 . 4578E - 01
`- 1 . 7734E - 01
`2 . 9848E - 01
`- 1 . 3320E - 01
`4 . 0134E - 02
`1 . 3615E - 02
`2 . 5914E - 03
`- 1 . 2292E - 02
`- 1 . 2725E - 01
`1 . 5691E - 01
`- 5 . 9624E - 02
`8 . 2917E - 02
`- 1 . 5336E - 024 . 3707E - 03
`- 7 . 0395E - 03
`1 . 4569E - 02
`1 . 2933E - 02
`2 . 9548E - 04
`- 1 . 8317E - 03
`5 . 0111E - 04
`8 . 3105E - 02
`2 . 4012E - 03
`- 1 . 2816E - 04
`- 1 . 8632E - 02
`7 . 0245E - 02
`- 2 . 0735E - 02
`2 . 6418E - 03
`- 1 . 1576E - 04
`
`APPL-1001 / Page 11 of 14
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 10 , 317 , 647 B2
`
`Embodiment 100 provides a field of view ( FOV ) 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 d , ( 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 . 5 d . ( 0 . 4395 15
`mm ) .
`The focal length ( in mm ) of each lens element in embodi
`ment 100 is as follows : f1 = 2 . 645 , f2 = - 5 . 578 , f3 = - 8 . 784 ,
`f4 = 9 . 550 and f5 = - 5 . 290 . The condition 1 . 2x | f3 | > | f2 | < 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 , Lle in lens
`element 102 equals 0 . 297 mm , yielding a center - to - edge
`thickness ratio L11 / Lle of 3 . 01 .
`FIG . 2A shows a second embodiment of an optical lens
`system disclosed herein and marked 200 . FIG . 2B shows 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
`1
`Stop
`2 L11
`3 L12
`4 . L21
`5
`L22
`6 L31
`7 L32
`8 L41
`9 L42
`10 151
`11 L52
`12 Window
`
`Radius R
`[ mm ]
`Infinite
`1 . 5457
`- 127 . 7249
`6 . 6065
`2 . 8090
`9 . 6183
`3 . 4694
`- 2 . 6432
`- 1 . 8663
`- 1 . 4933
`- 4 . 1588
`Infinite
`Infinite
`
`Distances
`[ mm ]
`- 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
`
`Nd / Vd
`
`Diameter
`[ mm ]
`
`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
`
`wo
`
`in
`
`5 . 5
`
`TABLE 4
`
`Conic
`coefficient k
`0 . 0000
`- 10 . 0119
`10 . 0220
`7 . 2902
`0 . 0000
`8 . 1261
`0 . 0000
`0 . 0000
`- 4 . 7688
`0 . 00E + 00
`
`#
`2
`3
`
`10
`11
`
`2
`
`az
`az
`. 8779E - 04
`- 2 . 7367E - 03
`- 1 . 8379E - 02
`4 . 0790E - 02
`5 . 8320E - 02
`4 . 6151E - 02
`1 . 1436E - 01
`3 . 6028E - 02
`5 . 6754E - 02
`1 . 6639E - 01
`8 . 1427E - 02
`1 . 5353E - 01
`1 . 9535E - 02
`- 3 . 2628E - 02
`- 1 . 2252E - 02
`1 . 5173E - 02
`7 . 6335E - 02
`- 1 . 4736E - 01
`- 8 . 3741E - 024 . 2660E - 02
`
`- 4 . 3661E - 03
`2 . 2562E - 02
`- 2 . 0919E - 02
`- 1 . 9022E - 02
`- 1 . 2238E - 02
`- 1 . 5773E - 01
`- 1 . 6716E - 02
`3 . 3611E - 03
`- 2 . 5539E - 02
`- 8 . 4866E - 03
`
`Qo
`- 1 . 2282E - 03
`3 . 0069E - 03
`- 1 . 7706E - 024 . 9640E - 03
`- 1 . 2846E - 028 . 8283E - 03
`4 . 7992E - 03
`- 3 . 4079E - 03
`- 1 . 8648E - 021 . 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
`
`Embodiment 200 provides a FOV of 43 . 48 degrees , with
`MTF vs . focus shift of the entire optical lens system for
`EFL = 7 mm , F # = 2 . 86 and TTL = 5 . 90 mm . Thus and advan
`various fields in embodiment 200 . FIG . 2C shows the
`tageously , the ratio TTL / EFL = 0 . 843 . Advantageously , the
`distortion + Y in percent vs . field . Embodiment 200 com -
`prises in order from an object side to an image side : an 45 Abbe number of the first , third and fifth lens elements is
`optional stop 201 ; a first plastic lens element 202 with
`56 . 18 . The first air gap between lens elements 202 and 204
`positive refractive power having a convex object - side sur -
`has a thickness ( 0 . 129 mm ) which is about half the thickness
`face 202a and a convex or concave image - side surface 202b ;
`d2 ( 0 . 251 mm ) . Advantageously , the Abbe number of the
`a second glass lens element 204 with negative refractive
`second lens element is 20 . 65 and of the fourth lens element
`power , having a meniscus convex object - side surface 204a , 50 is 23 . 35 . Advantageously , the third air gap between lens
`with an image side surface marked 204b ; a third plastic lens
`elements 206 and 208 has a thickness ( 1 . 766 mm ) greater
`element 206 with negative refractive power having a con
`than TTL / 5 ( 5 . 904 / 5 mm ) . Advantageously , the fourth air
`cave object - side surface 206? with an inflection point and a
`gap between lens elements 208 and 210 has a thickness
`concave image - side surface 206b ; a fourth plastic lens
`( 0 . 106 mm ) which is less than 1 . 5xds ( 0 . 495 mm ) .
`element 208 with positive refractive power having a positive 55
`The focal length ( in mm ) of each lens element in embodi
`meniscus , with a concave object - side surface marked 208a
`ment 200 is as follows : f1 = 2 . 851 , f2 = - 5 . 468 , f3 = - 10 . 279 ,
`and an image - side surface marked 208b ; and a fifth plastic
`f4 = 7 . 368 and f5 = - 4 . 536 . The condition 1 . 2x | f3 | > | f2 | < 1 . 5x
`lens element 210 with negative refractive power having a
`fl is clearly satisfied , as 1 . 2x10 . 279 > 5 . 468 > 1 . 5x2 . 851 . f1
`negative meniscus , with a concave object - side surface
`also fulfills the condition f1 < TTL / 2 , as 2 . 851 < 2 . 950 .
`marked 110a and an image - side surface marked 210b . The 60
`Using the data from row # 2 in Tables 3 and 4 , Lle in lens
`optical lens system further comprises an optional glass
`element 202 equals 0 . 308 mm , yielding a center - to - edge
`window 212 disposed between the image - side surface 210b
`thickness ratio L11 / Lle of 2 . 916 .
`o