throbber
THOUT AU LIETOTTUR
`
`US009864171B2
`
`( 12 ) United States Patent
`Hsieh et al .
`
`( 10 ) Patent No . :
`( 45 ) Date of Patent :
`
`US 9 , 864 , 171 B2
`Jan . 9 , 2018
`
`( 71 )
`
`( * ) Notice :
`
`( 54 ) OPTICAL PHOTOGRAPHING LENS
`ASSEMBLY , IMAGE CAPTURING DEVICE
`AND ELECTRONIC DEVICE
`Applicant : LARGAN PRECISION CO . , LTD . ,
`Taichung ( TW )
`( 72 ) Inventors : Dung - Yi Hsieh , Taichung ( TW ) ;
`Chun - Yen Chen , Taichung ( TW ) ;
`Chun - Che Hsueh , Taichung ( TW ) ;
`Hsin - Hsuan Huang , Taichung ( TW )
`( 73 ) Assignee : LARGAN PRECISION CO . , LTD . ,
`Taichung ( TW )
`Subject to any disclaimer , the term of this
`patent is extended or adjusted under 35
`U . S . C . 154 ( b ) by 315 days .
`( 21 ) Appl . No . : 14 / 834 , 629
`Aug . 25 , 2015
`( 22 ) Filed :
`Prior Publication Data
`( 65 )
`US 2017 / 0023768 A1 Jan . 26 , 2017
`Foreign Application Priority Data
`( 30 )
`Jul . 24 , 2015
`( TW )
`. . . . . . . . . . . 104124080 A
`( 51 ) Int . Ci .
`( 2006 . 01 )
`GO2B 13 / 00
`GO2B 9 / 60
`( 2006 . 01 )
`U . S . CI .
`CPC . . . . . . . . . G02B 13 / 0045 ( 2013 . 01 ) ; GO2B 9 / 60
`( 2013 . 01 )
`( 58 ) Field of Classification Search
`CPC . . . . . . GO2B 13 / 00 ; G02B 13 / 0045 ; GO2B 9 / 60 ;
`GO2B 1 / 041
`USPC . . . . . . . 359 / 659 , 708 , 714 , 745 , 746 , 753 , 763 ,
`359 / 764 , 766
`See application file for complete search history .
`
`( 52 )
`
`( 56 )
`
`References Cited
`U . S . PATENT DOCUMENTS
`1 , 697 , 670 A
`1 / 1929 Wandersleb et al .
`4 , 790 , 638 A
`12 / 1988 Iwasaki et al .
`11 / 1998 Moskovich
`5 , 841 , 587 A
`5 / 2006 Tesar et al .
`7 , 050 , 245 B2
`8 , 508 , 649 B2
`8 / 2013 Reshidko et al .
`7 / 2014 Jo et al .
`2014 / 0204480 Al
`( Continued )
`FOREIGN PATENT DOCUMENTS
`1987 - 039811 A
`2 / 1987
`1993 - 264899 A
`10 / 1993
`( Continued )
`Primary Examiner — Ricky Mack
`Assistant Examiner — Gary O ' Neill
`( 74 ) Attorney , Agent , or Firm - McClure , Qualey &
`Rodack , LLP
`( 57 )
`ABSTRACT
`An optical photographing lens assembly includes , in order
`from an object side to an image side , a first lens element , a
`second lens element , a third lens element , a fourth lens
`element and a fifth lens element . The first lens element with
`positive refractive power has an object - side surface being
`convex in a paraxial region thereof and an image - side
`surface being concave in
`a paraxial region thereof . The
`second lens element with negative refractive power has an
`image - side surface being concave in
`a paraxial region
`thereof . The third lens element has two surfaces being both
`aspheric . The fourth lens element with negative refractive
`power has an image - side surface being concave in a paraxial
`region thereof , wherein two surfaces thereof are aspheric .
`The fifth lens element has an image - side surface being
`convex in a paraxial region thereof , wherein two surfaces
`thereof are aspheric .
`34 Claims , 27 Drawing Sheets
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`160
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`150
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`120
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`130
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`111 " 132 132
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`112
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`141
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`142
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`151
`15
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`170 180
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`WIIIIIIIIIIIIIIIIIIIIIIIIII
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`US 9 , 864 , 171 B2
`Page 2
`
`( 56 )
`
`References Cited
`U . S . PATENT DOCUMENTS
`2015 / 0077864 A1 *
`3 / 2015 Noda . . . . . . . . . . . . . . . . . . . GO2B 13 / 18
`359 / 714
`2015 / 0116569 Al
`4 / 2015 Mercado
`FOREIGN PATENT DOCUMENTS
`8 / 1994
`12 / 2009
`12 / 2009
`2 / 2013
`
`1994 - 235858 A
`SS SS
`2009 - 294527 A
`2009 - 294528 A
`2013 - 025202 A
`* cited by examiner
`
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 1 of 27
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`US 9 , 864 , 171 B2
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`170 180
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`160
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`150
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`140 140 SA
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`
`
`61120 130
`
`100 7 . 110
`
`ZZZZ
`
`152 Fig . 1
`142 151
`141
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`-
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`121131 122 132
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`H
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`112
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`Jan . 9 , 2018
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`Sheet 2 of 27
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`US 9 , 864 , 171 B2
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`les pour com .
`DISTORTION
`
`IMG HT T 2 . 45
`
`+ 1 . 84
`
`+ 1 . 23
`
`0 . 61
`
`3 . 0
`
`- 1 . 5 0 . 0 1 . 5 % DISTORTION
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`
`ASTIGMATIC FIELD
`CURVES
`
`IMG HT
`
`| 2 . 45
`
`1 . 84
`
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`
`0 . 61
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`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
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`Fig . 2
`
`656 . 3000 NM 587 . 6000 NM 486 . 1000 NM
`
`-
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`
`LONGITUDINAL SPHERICAL
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`
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`
`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
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`Jan . 9 , 2018
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`Sheet 3 of 27
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`US 9 , 864 , 171 B2
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`270 280
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`ZZZZZZZZZZZZZZZZZZZZZZZZZZ
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`260
`260
`
`250
`240 240
`
`230
`
`220
`200
`210
`
`Fig . 3
`
`251 252
`
`/
`
`241
`242
`
`
`
`221 ) 231 222 232
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`212 )
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`Jan . 9 , 2018
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`Sheet 4 of 27
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`US 9 , 864 , 171 B2
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`as man women women
`DISTORTION
`
`IMG HT
`
`I 2 . 43
`
`+ 1 . 83
`
`+ 1 . 22
`
`+ 0 . 61
`
`3 . 0
`
`- 1 . 5 0 . 0 1 . 5 % DISTORTION
`
`- 3 . 0
`
`T
`
`-
`
`-
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`IMG HT
`
`I IT 2 . 43
`
`ASTIGMATIC FIELD
`CURVES
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`
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`
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`656 . 3000 NM 587 . 6000 NM 486 . 1000 NM
`
`ABER .
`
`LONGITUDINAL SPHERICAL
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`Fig . 4
`
`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
`
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 5 of 27
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`US 9 , 864 , 171 B2
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`
`
`370 380
`
`360
`
`350
`
`340
`
`330
`330
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`300
`
`320
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`
`351 352
`Fig . 5
`
`341 342
`
`331
`321 ) 332
`322
`312
`311
`
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 6 of 27
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`us more mone me com
`DISTORTION
`
`IMG HT T 2 . 25
`
`+ 1 . 69
`
`+ 11 . 13
`
`+ 0 . 56
`
`3 . 0
`
`US 9 , 864 , 171 B2
`
`ment
`TTTT - 3 . 0 - 1 . 5 0 . 0 1 . 5 % DISTORTION
`
`IMG HT
`- 2 . 25 2 . 25
`
`1 1
`
`ASTIGMATIC FIELD
`CURVES
`
`1 . 13
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`N + 1 . 69
`
`I
`
`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
`
`Fig . 6
`
`656 . 3000 NM 587 . 6000 NM
`- - - 486 . 1000 NM
`
`-
`
`-
`
`-
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`ABER .
`
`LONGITUDINAL SPHERICAL
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`| 6 . 50 Ezt
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 7 of 27
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`US 9 , 864 , 171 B2
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`
`
`470 480
`
`460
`
`450
`
`440
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`400 4101
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`4513 452
`441 442
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`Fig . 7
`
`431 432
`421 ) 422
`4111 412
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 8 of 27
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`US 9 , 864 , 171 B2
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`IMG HT I 2 . 24
`
`1 . 68
`
`+ 1 . 12
`
`0 . 56
`
`3 . 0
`
`- 1 . 5 0 . 0 1 . 5 % DISTORTION
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`- 3 . 0
`
`IMG HT
`
`1 2 . 24
`
`H 1 . 68
`
`# 1 . 12
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`0 . 56
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`
`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
`
`Fig . 8
`
`DISTORTION
`
`ASTIGMATIC FIELD
`CURVES
`
`-
`
`— 656 . 3000 NM 587 . 6000 NM
`
`- - - - - - - 486 . 1000 NM
`
`ABER .
`
`LONGITUDINAL SPHERICAL
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`Bild so
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`+ 0 . 25
`
`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 9 of 27
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`US 9 , 864 , 171 B2
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`ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
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`
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`570 580
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`560
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`Fig . 9
`
`531
`521 522
`
`511 512 -
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 10 of 27
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`US 9 , 864 , 171 B2
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`en men , wo wo women
`DISTORTION
`
`IMG HT I 2 . 23
`
`+ 1 . 68
`
`+ 1 . 12
`
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`3 . 0
`
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`
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`- 0 . 050 - 0 . 025 0 . 0 0 . 025 0 . 050 FOCUS ( MILLIMETERS )
`
`Fig . 10
`
`656 . 3000 NM 587 . 6000 NM
`- - - 486 . 1000 NM
`
`ABER .
`
`LONGITUDINAL SPHERICAL
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`tangan
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`Jan . 9 , 2018
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`Sheet 11 of 27
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`US 9 , 864 , 171 B2
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`
`
`670 680
`
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`Fig . 11
`
`6211 631 622 632
`
`611 612
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`Jan . 9 , 2018
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`Sheet 12 of 27
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`US 9 , 864 , 171 B2
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`IMG HT T 2 . 23
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`+ 1 . 68
`
`+ 1 . 12
`
`0 . 56
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`ASTIGMATIC FIELD
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 13 of 27
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`US 9 , 864 , 171 B2
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`
`
`770 780
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 14 of 27
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`US 9 , 864 , 171 B2
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`en met wow . . .
`DISTORTION
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`IMG HT
`
`T 2 . 23
`
`+ 1 . 68
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`656 . 3000 NM 587 . 6000 NM 486 . 1000 NM
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 15 of 27
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`US 9 , 864 , 171 B2
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`
`
`870 880
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`U . S . Patent
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`Jan . 9 , 2018
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`Sheet 16 of 27
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`US 9 , 864 , 171 B2
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`IMG HT T 2 . 29
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`+ 1 . 71
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`
`IMG HT
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`
`LONGITUDINAL SPHERICAL
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`— 656 . 3000 NM 587 . 6000 NM 486 . 1000 NM
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`Sheet 17 of 27
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`US 9 , 864 , 171 B2
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`
`
`901 960 970 980
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`
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`
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`Jan . 9 , 2018
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`Sheet 18 of 27
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`US 9 , 864 , 171 B2
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`na mom mom moment where
`DISTORTION
`
`IMG HT
`
`T 2 . 94
`
`+ 2 . 20
`
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`
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`
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`CURVES
`
`IMG HT
`
`2 . 94
`T 2 . 94
`
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`
`— 656 . 3000 NM 587 . 6000 NM
`
`- - - - - - - - 486 . 1000 NM
`
`ABER .
`
`LONGITUDINAL SPHERICAL
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`100
`
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`Sheet 19 of 27
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`US 9 , 864 , 171 B2
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`1070 1080
`
`1060
`1001 -
`1050
`1050
`1040
`
`1030
`
`1010 41 1020
`1000 | 1010
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`
`1021 | 1031
`
`/ 1022 1032
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`1011 1012 /
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`Sheet 20 of 27
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`na mom mom momente
`DISTORTION
`
`IMG HT
`IT 2 . 94
`
`2 . 20
`
`+ 1 . 47
`
`+ 0 . 73
`
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`
`US 9 , 864 , 171 B2
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`3 . 0
`
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`
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`
`Fig . 20
`
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`- 0 . 100 - 0 . 050 0 . 0 0 . 050 0 . 100 FOCUS ( MILLIMETERS )
`
`= 120
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`SPHERICAL ABER .
`
`LONGITUDINAL
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`APPL-1025 / Page 22 of 55
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`U . S . Patent
`
`Jan . 9 , 2018
`
`Sheet 21 of 27
`
`US 9 , 864 , 171 B2
`
`1170 1180
`
`1160
`
`1150
`
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`1100 11101 J1120 : 120
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`APPL-1025 / Page 23 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`U . S . Patent
`
`atent
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`Jan . 9 , 2018
`
`Sheet 22 of 27
`
`1500 m2
`
`US 9 , 864 , 171 B2
`
`3 . 0
`
`Us Patent mon som er
`DISTORTION
`
`IMG HT T 2 . 43
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`
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`
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`
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`
`Fig . 22
`
`656 . 3000 NM 587 . 6000 NM - 486 . 1000 NM
`
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`
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`
`LONGITUDINAL SPHERICAL
`
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`
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`
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`APPL-1025 / Page 24 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`U . S . Patent
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`Jan . 9 , 2018
`
`Sheet 23 of 27
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`US 9 , 864 , 171 B2
`
`
`
`
`
`1260 1270 1280
`
`A
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`
`1251 1252
`
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`
`Fig . 23
`
`1231
`1232
`1221
`1220
`1211 1212 -
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`APPL-1025 / Page 25 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`

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`U . S . Patent
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`Jan . 9 , 2018
`
`Sheet 24 of 27
`
`rdt
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`US 9 , 864 , 171 B2
`
`na mom mom moment wo
`DISTORTION
`
`IMG HT
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`APPL-1025 / Page 26 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`atent
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`Jan . 9 , 2018
`
`Sheet 25 of 27
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`US 9 , 864 , 171 B2
`
`Fig . 25
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`o
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`APPL-1025 / Page 27 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`

`

`U . S . Patent
`
`Jan . 9 , 2018
`
`Sheet 26 of 27
`
`US 9 , 864 , 171 B2
`
`Fig . 26
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`APPL-1025 / Page 28 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`

`

`U . S . Patent
`
`Jan . 9 , 2018
`
`Sheet 27 of 27
`
`US 9 , 864 , 171 B2
`
`Fig . 27
`
`APPL-1025 / Page 29 of 55
`APPLE INC. v. COREPHOTONICS LTD.
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`

`

`US 9 , 864 , 171 B2
`
`OPTICAL PHOTOGRAPHING LENS
`ASSEMBLY , IMAGE CAPTURING DEVICE
`AND ELECTRONIC DEVICE
`RELATED APPLICATIONS
`This application claims priority to Taiwan Application
`Serial Number 104124080 , filed Jul . 24 , 2015 , which is
`herein incorporated by reference .
`BACKGROUND
`
`lens element , the fourth lens element and the fifth lens
`element that are adjacent to each other . When a focal length
`of the first lens element is fi , a focal length of the third lens
`element is f3 , an axial distance between the image - side
`surface of the fifth lens element and an image surface is BL ,
`an axial distance between the object - side surface of the first
`lens element and the image - side surface of the fifth lens
`element is TD , a curvature radius of the object - side surface
`of the first lens element is R1 , a curvature radius of the
`10 image - side surface of the first lens element is R2 , an axial
`distance between the second lens element and the third lens
`element is T23 , and an axial distance between the third lens
`element and the fourth lens element is T34 , the following
`conditions are satisfied :
`f11f3 < 0 . 65 ;
`
`R1 < R2 ; and
`
`BL / TD < 0 . 80 ;
`
`Technical Field
`The present disclosure relates to an optical photographing
`lens assembly and an image capturing device . More particu - 15
`larly , the present disclosure relates to a compact optical
`photographing lens assembly and image capturing device
`applicable to electronic devices .
`Description of Related Art
`In recent years , with the popularity of mobile terminals 20
`having camera functionalities , the demand of miniaturized
`T23 / 734 < 1 . 80 .
`optical systems has been increasing . The sensor of a con
`According to another aspect of the present disclosure , an
`ventional optical system
`is typically a CCD ( Charge -
`image capturing device includes the optical photographing
`Coupled Device ) or a CMOS ( Complementary Metal - Ox -
`ide - Semiconductor ) sensor . As the advanced semiconductor 25 lens assembly according to the aforementioned aspect and
`manufacturing technologies have allowed the pixel size of
`an image sensor , wherein the image sensor is disposed on the
`sensors to be reduced and compact optical systems have
`image surface of the optical photographing lens assembly .
`gradually evolved toward the field of higher megapixels ,
`According to yet another aspect of the present disclosure ,
`there is an increasing demand for compact optical systems
`an electronic device includes the image capturing device
`featuring better image quality .
`30 according to the aforementioned aspect .
`A conventional optical system employed in a portable
`According to further another aspect of the present disclo
`electronic product mainly provides the photographing char -
`sure , an optical photographing lens assembly includes , in
`acteristic with close object distance and wide field of view ,
`order from an object side to an image side , a first lens
`but the conventional optical systems cannot satisfy the
`element , a second lens element , a third lens element , a fourth
`requirements of the fine image capturing of telephoto . The 35 lens element and a fifth lens element . The first lens element
`conventional telephoto of the optical system mainly adopts
`with positive refractive power has an object - side surface
`multi - lens structure with spherical surfaces . However , the
`being convex in a paraxial region thereof and an image - side
`optical system would have excessive volume which is more
`surface being concave in a paraxial region thereof . The
`difficult to carry . Moreover , the conventional optical system
`second lens element with negative refractive power has an
`with telephoto characteristic is too expensive . Therefore , the 40 image - side surface being concave in
`a paraxial region
`conventional optical system cannot satisfy the convenience
`thereof . The third lens element has an object - side surface
`and multi - functionality pursued by consumers .
`and an image - side surface being both aspheric . The fourth
`lens element with negative refractive power has an object
`SUMMARY
`side surface being concave in a paraxial region thereof and
`45 an image - side surface being concave in
`a paraxial region
`According to one aspect of the present disclosure , an
`thereof , wherein the object - side surface and the image - side
`optical photographing lens assembly includes , in order from
`surface of the fourth lens element are aspheric . The fifth lens
`an object side to an image side , a first lens element , a second
`element with positive refractive power has an object - side
`lens element , a third lens element , a fourth lens element and
`surface being convex in a paraxial region thereof and an
`a fifth lens element . The first lens element with positive 50 image - side surface being convex in
`a paraxial region
`refractive power has an object - side surface being convex in
`thereof , wherein the object - side surface and the image - side
`a paraxial region thereof and an image - side surface being
`surface of the fifth lens element are aspheric . The optical
`concave in a paraxial region thereof . The second lens
`photographing lens assembly has a total of five lens ele
`element with negative refractive power has an image - side
`ments , there is an air space between every two lens elements
`surface being concave in a paraxial region thereof . The third 55 of the first lens element , the second lens element , the third
`lens element having an object - side surface and an image -
`lens element , the fourth lens element and the fifth lens
`side surface being both aspheric . The fourth lens element
`element that are adjacent to each other . When a focal length
`with negative refractive power has an image - side surface
`of the first lens element is f1 , a focal length of the third lens
`being concave in
`a paraxial region thereof , wherein an
`element is
`f3 , an axial distance between the image - side
`object - side surface and the image - side surface of the fourth 60 surface of the fifth lens element and an image surface is BL ,
`lens element are aspheric . The fifth lens element having an
`an axial distance between the object - side surface of the first
`image - side surface being convex in
`a paraxial region
`lens element and the image - side surface of the fifth lens
`thereof , wherein an object - side surface and the image - side
`element is TD , a curvature radius of the object - side surface
`surface of the fifth lens element are aspheric . The optical
`of the first lens element is R1 , a curvature radius of the
`photographing lens assembly has a total of five lens ele - 65 image - side surface of the first lens element is R2 , a curvature
`ments , there is an air space between every two lens elements
`radius of the object - side surface of the fourth lens element
`of the first lens element , the second lens element , the third
`is R7 , a curvature radius of the image - side surface of the
`
`APPL-1025 / Page 30 of 55
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`BL / TD < 0 . 80 ;
`
`R1 < R2 ;
`
`R10 < R9 .
`
`R7 < R8 ; and
`
`US 9 , 864 , 171 B2
`3
`fourth lens element is R8 , a curvature radius of the object
`FIG . 21 is a schematic view of an image capturing device
`side surface of the fifth lens element is R9 , and a curvature
`according to the 11th embodiment of the present disclosure ;
`radius of the image - side surface of the fifth lens element is
`FIG . 22 shows spherical aberration curves , astigmatic
`R10 , the following conditions are satisfied :
`field curves and a distortion curve of the image capturing
`5 device according to the 11th embodiment ;
`fl / f3 < 0 . 65 ;
`FIG . 23 is a schematic view of an image capturing device
`according to the 12th embodiment of the present disclosure ;
`FIG . 24 shows spherical aberration curves , astigmatic
`field curves and a distortion curve of the image capturing
`10 device according to the 12th embodiment ;
`FIG . 25 is a schematic view of an electronic device
`according to the 13th embodiment of the present disclosure ;
`FIG . 26 is a schematic view of an electronic device
`according to the 14th embodiment of the present disclosure ;
`and
`BRIEF DESCRIPTION OF THE DRAWINGS
`FIG . 27 is a schematic view of an electronic device
`according to the 15th embodiment of the present disclosure .
`FIG . 1 is a schematic view of an image capturing device
`according to the 1st embodiment of the present disclosure ;
`DETAILED DESCRIPTION
`FIG . 2 shows spherical aberration curves , astigmatic field 20
`curves and a distortion curve of the image capturing device
`An optical photographing lens assembly includes , in order
`according to the 1st embodiment ;
`from an object side to an image side , a first lens element , a
`FIG . 3 is a schematic view of an image capturing device
`second lens element , a third lens element , a fourth lens
`according to the 2nd embodiment of the present disclosure ;
`FIG . 4 shows spherical aberration curves , astigmatic field 25 element and a fifth lens element , wherein the optical pho
`curves and a distortion curve of the image capturing device
`tographing lens assembly has a total of five lens elements .
`According to the optical photographing lens assembly of
`according to the 2nd embodiment ;
`FIG . 5 is a schematic view of an image capturing device
`the present disclosure , there is an air space between every
`two lens elements of the first lens element , the second lens
`according to the 3rd embodiment of the present disclosure ;
`FIG . 6 shows spherical aberration curves , astigmatic field
`30 element , the third lens element , the fourth lens element and
`curves and a distortion curve of the image capturing device
`the fifth lens element that are adjacent to each other . That is ,
`according to the 3rd embodiment ;
`each of the first through fifth lens elements is a single and
`FIG . 7 is a schematic view of an image capturing device
`non - cemented lens element , and every two lens elements
`according to the 4th embodiment of the present disclosure ;
`adjacent to each other are not cemented , and there is a space
`FIG . 8 shows spherical aberration curves , astigmatic field 35 between the two lens elements . Moreover , the manufactur
`curves and a distortion curve of the image capturing device
`ing process of the cemented lenses is more complex than the
`according to the 4th embodiment ;
`non - cemented lenses . In other words , of the first lens ele
`FIG . 9 is a schematic view of an image capturing device
`ment , the second lens element , the third lens element , the
`according to the 5th embodiment of the present disclosure ;
`fourth lens element and the fifth lens element of the optical
`FIG . 10 shows spherical aberration curves , astigmatic 40 photographing lens assembly , there is a space in a paraxial
`field curves and a distortion curve of the image capturing
`region between every pair of lens elements that are adjacent
`device according to the 5th embodiment ;
`to each other . In particular , a second surface of one lens
`FIG . 11 is a schematic view of an image capturing device
`element and a first surface of the following lens element
`according to the 6th embodiment of the present disclosure ;
`need to have accurate curvature to ensure these two lens
`FIG . 12 shows spherical aberration curves , astigmatic 45 elements will be highly cemented . However , during the
`field curves and a distortion curve of the image capturing
`cementing process , those two lens elements might not be
`device according to the 6th embodiment ;
`highly cemented due to displacement and it is thereby not
`FIG . 13 is a schematic view of an image capturing device
`favorable for the image quality of the optical photographing
`according to the 7th embodiment of the present disclosure ;
`lens assembly . Therefore , according to the optical photo
`FIG . 14 shows spherical aberration curves , astigmatic 50 graphing lens assembly of the present disclosure , an air
`field curves and a distortion curve of the image capturing
`space in a paraxial region between every two of the first lens
`element , the second lens element , the third lens element , the
`device according to the 7th embodiment ;
`FIG . 15 is a schematic view of an image capturing device
`fourth lens element and the fifth lens element that are
`adjacent to each other of the present disclosure improves the
`according to the 8th embodiment of the present disclosure ;
`FIG . 16 shows spherical aberration curves , astigmatic 55 problem generated by the cemented lens elements .
`field curves and a distortion curve of the image capturing
`The first lens element with positive refractive power has
`an object - side surface being convex in a paraxial region
`device according to the 8th embodiment ;
`FIG . 17 is a schematic view of an image capturing device
`thereof and an image - side surface being concave in a
`paraxial region thereof . Therefore , the total track length of
`according to the 9th embodiment of the present disclosure ;
`FIG . 18 shows spherical aberration curves , astigmatic 60 the optical photographing lens assembly can be reduced and
`field curves and a distortion curve of the image capturing
`the astigmatism of the optical photographing lens assembly
`device according to the 9th embodiment ;
`can be corrected .
`FIG . 19 is a schematic view of an image capturing device
`The second lens element with negative refractive power
`according to the 10th embodiment of the present disclosure ;
`has an image - side surface being concave in a paraxial region
`FIG . 20 shows spherical aberration curves , astigmatic 65 thereof . Therefore , the aberration generated from the first
`field curves and a distortion curve of the image capturing
`lens element can be reduced , and the spherical aberration
`device according to the 10th embodiment ;
`and the chromatic aberration can be controlled effectively .
`
`APPL-1025 / Page 31 of 55
`APPLE INC. v. COREPHOTONICS LTD.
`
`

`

`US 9 , 864 , 171 B2
`
`following condition is satisfied : R10 < R9 . Therefore , it is
`The third lens element can have an object - side surface
`favorable for satisfying the demand of telephoto imaging by
`being convex in a paraxial region thereof and an image - side
`reducing the telephoto ratio .
`surface being concave in a paraxial region thereof . There -
`When the curvature radius of the object - side surface of
`fore , it is favorable for enhancing the image quality by
`correcting the aberration of the optical photographing lens 5 the first lens element is R1 , and the curvature radius of the
`image - side surface of the first lens element is R2 , the
`assembly
`following condition is satisfied : ( R1 + R2 ) / ( R1 - R2K - 1 . 0 .
`The fourth lens element with negative refractive power
`Therefore , the astigmatism of the optical photographing lens
`has an object - side surface being concave in a paraxial region
`assembly can be corrected .
`thereof , and has an image - side surface being concave in a
`Moreover , the optical photographing lens assembly can
`paraxial region thereof , wherein the image - side surface can N 10
`further include a stop , such as an aperture stop , wherein
`include at least one convex shape in an off - axial region
`there is no lens element located between the stop and the first
`thereof . Therefore , the arrangement of the optical photo
`lens element . When an axial distance between the stop and
`graphing lens assembly can be balanced , so that the photo
`the image - side surface of the fifth lens element is SD , and
`graphing range can be controlled effectively , and the off
`' , and the ou - 15 the axial distance between the object - side surface of the first
`axial aberration can be corrected .
`lens element and the image - side surface of the fifth lens
`The fifth lens element can have positive refractive power
`element is TD , the following condition is satisfied : 0 . 60 < SD /
`TD < 1 . 2 . Therefore , it is favorable for obtaining a balance
`and an object - side surface being convex in a paraxial region
`thereof , and has an image - side surface being convex in a
`between telecentricity and the functionality of wide viewing
`paraxial region thereof , wherein the object - side surface of 20 angle .
`the fifth lens element can include at least one concave shape
`When a focal length of the optical photographing lens
`in an off - axial region thereof . Therefore , it is favorable for
`assembly is f , and the focal length of the first lens element
`satisfying the demand of telephoto imaging by reducing the
`is fl , the following condition is satisfied : 1 . 0 < f / f1 < 2 . 20 .
`Therefore , it is favorable for maintaining the compact size of
`telephoto ratio .
`When a focal length of the first lens element is fi , and a
`25 the optical photographing lens assembly by reducing the
`focal length of the third lens element is f3 , the following
`total track length of the optical photographing lens assembly .
`When an axial distance between the first lens element and
`condition is satisfied : f1 / f3 < 0 . 65 . Therefore , the telephoto
`the second lens element is T12 , the axial distance between
`functionality of the optical photographing lens assembly can
`the second lens element and the th

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