(19) United States
`(12) Patent Application Publication (10) Pub. No.: US 2011/0261470 A1
`Chen et al.
`(43) Pub. Date:
`Oct. 27, 2011
`
`US 20110261470A1
`
`(54) PHOTOGRAPHING OPTICAL LENS
`ASSEMBLY
`(75) I
`t
`ViOS
`
`Chun Shan Chen, Taichung City
`un Snan Unen, 1a1cnung U1
`(TW); Hsiang Chi Tang, Taichung
`City (TW); Tsung Han Tsai,
`Taichung City (TW)
`
`(73) Assignee:
`
`LARGAN PRECISION CO.,
`LTD., Taichung City (TW)
`
`(21) Appl. No.:
`
`12/823,831
`
`(22) Filed:
`
`Jun. 25, 2010
`
`(30)
`
`Foreign Application Priority Data
`
`Apr. 23, 2010 (TW) ................................. O991 12824
`
`Publication Classification
`
`(51) Int. Cl.
`(2006.01)
`GO2B I3/8
`52) U.S. Cl. ........................................................ 359/715
`(52)
`(57)
`ABSTRACT
`This invention provides a photographing optical lens assem
`bly, from an object side to an image side in order, comprising
`a first lens element with positive refractive power having a
`convex object-side Surface, a second lens element with nega
`tive refractive power having a concave image-side Surface, a
`third lens element with positive refractive power, a fourth lens
`element with negative refractive power having a concave
`image-side surface, both the two surfaces of the fourth lens
`thereof being aspheric. And an aperture stop is positioned
`between the first element and the second lens element. There
`are four lens elements with refractive power in the lens assem
`bly.
`
`160
`
`150
`
`e d sa
`
`140
`
`141N142
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 1 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 1 of 29
`
`US 2011/0261470 A1
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`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 2 of 45
`
`

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`Exhibit 2007
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`Exhibit 2007 Page 3 of 45
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 3 of 45
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`

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`Patent Application Publication
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`Oct. 27, 2011 Sheet 3 of 29
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`US 2011/0261470 A1
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`Exhibit 2007
`IPR2018-01146
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`Exhibit 2007
`IPR2018-01146
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 7 of 45
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`Oct. 27, 2011 Sheet 7 of 29
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`US 2011/0261470 A1
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 8 of 45
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`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 9 of 45
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`
`Oct. 27, 2011 Sheet 9 of 29
`
`US 2011/0261470 A1
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`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 10 of 45
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`
`Oct. 27, 2011 Sheet 10 of 29
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`US 2011/0261470 A1
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`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 11 0f 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 11 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 11 of 29
`
`US 2011/0261470 A1
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 12 of 45
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 13 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 13 of 29
`
`US 2011/0261470 A1
`
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`s s
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`2A s s N s s
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 14 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 14 of 29
`
`US 2011/0261470 A1
`
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`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 15 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 15 of 29
`
`US 2011/0261470 A1
`
`TABLE 1.
`(Embodiment 1)
`f = 2.72 mm, Fno = 2.85. HFOV = 33.1 deg.
`
`Surface #
`
`Curvature Radius ThickncSS Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`1.
`
`2
`3
`
`4
`
`5
`6
`
`7
`8
`
`9
`O
`
`11
`
`12
`
`Object
`
`Lens 1
`
`Plano
`
`Infinity
`
`1.11312 (ASP)
`
`0.488
`
`Plastic
`
`1.544
`
`55.9
`
`1.62
`
`Ape. Stop
`
`-3.53700 (ASP)
`Plano
`
`-0.014
`().074
`
`Lens 2
`
`-9.51 150 (ASP)
`
`1.80750 (ASP)
`-1.73542 (ASP)
`
`-0.6.1619 (ASP)
`-6.24950 (ASP)
`
`0.96095 (ASP)
`Plano
`
`Plan()
`
`Plano
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`0.341
`
`0.355
`0.626
`
`0.105
`0.315
`
`0.400
`O.30C)
`
`0.325
`
`Plastic
`
`1632
`
`23.4
`
`-2.38
`
`Plastic
`
`1.544
`
`55.9
`
`1.47
`
`Plastic
`
`1.544
`
`55.9
`
`-1.51
`
`Glass
`
`1517
`
`64.2
`
`Fig. 15
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 16 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 16 of 29
`
`US 2011/0261470 A1
`
`Surface #
`
`1.
`
`TABLE 2.
`Aspheric Coefficients
`2
`
`4.
`
`5
`
`k = -9.07221E-00 || 5.OOOOOE-00 || 5.OOOOOE-00 || 3.462O7E--00
`
`A4 =
`
`7.72227E-01
`
`408182E-01
`
`6.54295E-01
`
`2.80714E-01
`
`A6 =
`
`-2.17761E-00 || - 157365E-00 || -4.65596E-00 -4.10496E-01
`
`A8 =
`
`7.32O39E-00 || -4.13016E-00 || 2.90443E+OI -1.21509E-00
`
`A ()=
`
`-2.37714E--01 4.12524E-01 -1.4997 IE+02 1.051 24E--01
`
`A12=
`
`4.74190E--01
`
`-1.25155E--O2 4.248.13E--O2 -2.58837E--01
`
`A14= -4.57989E-01
`
`1.2915OE-02 -46771 OE--O2 2.82385E-01
`
`Surface #
`
`6
`
`7
`
`8
`
`9
`
`k = -1.84176E+00 -4.32336E-00 || 7.54766E+00 - 1.1016 E--01
`
`A4 =
`
`-3.3940OE-01 || -9.74121E-0 || -4.27398E-01
`
`-36736OE-01
`
`A6 =
`
`187789E-00 || 2.42476E-00 || 366709E-01
`
`3.236.16E-01
`
`A8 = | -2.00405E-01 -5.56649E-00 || 5.5453OE-02
`
`-2.17519E-01
`
`A1 ()=
`
`8.95 161E--01
`
`7.12864E-00 || -1.84535E-01
`
`7.71866E-02
`
`Al2= | - 1.90 138E+02 || -3.328.79E-00 || 8.3252E-02
`
`-1. 16691E-02
`
`A14=
`
`157672E--O2
`
`13675OE-04 - 124207E-02
`
`4.23599E-04
`
`Fig. 16
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 17 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 17 of 29
`
`US 2011/0261470 A1
`
`TABLE 3
`(Embodiment 2)
`f = 4.57 mm, Fno = 2.85. HFOV = 31.8 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`1
`
`2
`3
`
`4.
`5
`6
`7
`8
`9
`O
`
`II
`
`12
`
`Object
`
`Lens 1
`
`Ape. Stop
`
`Lens 2
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`Plano
`
`Infinity
`
`1.44020 (ASP)
`
`-24.65850 (ASP)
`Plano
`
`-25.00000 (ASP)
`3.06060 (ASP)
`-1.63097 (ASP)
`-0.82482 (ASP)
`-13.82870 (ASP)
`1.34461 (ASP)
`Plano
`
`Plano
`
`Plano
`
`0.642
`
`0.015
`0.049
`
`0.369
`0.935
`0.795
`0.114
`0.400
`0.800
`0.200
`
`0.699
`
`Plastic
`
`1.544
`
`55.9
`
`2.52
`
`Plastic
`
`1.632
`
`23.4
`
`-4.29
`
`Plastic
`
`1.544
`
`55.9
`
`2.28
`
`Plastic
`
`1530
`
`55.8
`
`-2.29
`
`Glass
`
`1.57
`
`64.2
`
`Fig. 17
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 18 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 18 of 29
`
`US 2011/0261470 A1
`
`
`
`TABLE 4A
`
`
`
`Aspheric Coefficients
`
`
`
`
`
` Surface # 1 2 4 5
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`k =
`-5.43793E-01
`-8.59803E+00
`-2.l4749E-01
`5.00000E+00
`
`
`A4 =
`1.26659E-02
`-8.37485E-02
`-1.94495E-02
`7.58927E-02
`
`
`
`
`
`
`
` A6 : —1.90852E-02 1.17121E—01 1.45366E—01 4.58898E-02
`
`
`
`
`
`
`
`
`
`
`
` A8 = 2.42863E-02 —l.18300E—01 -4.ll414E—03 6.91819E-02
`
`
`
`
`
`
`
`
`
` A10= -4.90397E-02 3.4708913-02 -2.02763E-01
`
`
`
`
`A12=
`2.08668E-01
`
`
`Surface #
`6
`7
`8
`
`
`k =
`—9.99627E—04 —3.71743E+00
`4.46095E+01
`
`
`
`
`
`
`
` A4 = -8.57882E-02 -2.34108E-Ol 6898511302
`
`
`
`
`
`
`
`
`
`
`
` A6 = -l.73682E-01 1.22155E-01 2.99373E-02
`
`
`A8 =
`2.5267lE-01
`-6.48451E-02
`-2.95486E-03
`
`
`
` A10: —4.73961E-01 —1.43033E—02 -6.03580E—04
`
`
`
`
`
`A12=
`5.00829E-01
`2.38590E—02
`-5.85877E—05
`
`
`A14=
`
`—l .81 882E-01
`
`4.57785E—03
`
`7.08843E—05
`
`
`
`
`
`
`
` Al6= -7.46180E-03 -4.48295E-03 -7.47359E-06
`
`
`
`
`
`
`TABLE 43
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`-l.35559E+01
`
`
`Al =
`
`
`A2 =
`
`
`A3 =
`
`
`A4 =
`-9.18164E-02
`
`
`A5 =
`
`
`A6 =
`3.79465E-02
`
`
`A7 =
`
`
`A8 =
`—l.29973E-02
`
`
`A9 =
`
`A10=
`2.27857E-03
`
`A11:
`
`A12:
`—6.78102E-05
`
`
`Al 3=
`
`
`A14=
`-4.09748E-05
`
`A15:
`
`
`A16:
`4.50673E-06
`
`.
`F 1g. 1 8
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 19 of 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 19 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 19 of 29
`
`US 2011/0261470 A1
`
`TABLES
`(Embodiment 3)
`f = 3.76 mm, Fno = 2.50. HFOV = 30.6 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`1.
`
`2
`3
`
`4.
`
`5
`6
`
`7
`8
`
`9
`10
`
`11
`
`12
`
`Object
`
`Lens 1
`
`Plano
`
`Infinity
`
`1.79236 (ASP)
`
`0.702
`
`Plastic
`
`1.544
`
`55.9
`
`2.19
`
`Ape. Stop
`
`-3.06890 (ASP)
`Plano
`
`-0.043
`0.168
`
`Lens 2
`
`-4.65120 (ASP)
`
`3.51 120 (ASP)
`-3.00120 (ASP)
`
`-0.91818 (ASP)
`9.52380 (ASP)
`
`0.96826 (ASP)
`Plano
`
`Plano
`
`Plano
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`().575
`
`0.464
`1.100
`
`0.249
`0.300
`
`0.533
`0.300
`
`0.406
`
`Plastic
`
`1.632
`
`23.4
`
`-3.08
`
`Plastic
`
`1.544
`
`55.9
`
`2.05
`
`Plastic
`
`1530
`
`55.8
`
`-2.06
`
`Glass
`
`1517
`
`64.2
`
`Fig. 19
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 20 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 20 of 29
`
`US 2011/0261470 A1
`
`
`
`
`TABLE 6A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`
`
`
`
`
`
`
` k = -5.l8509E-01 -3.33905E+01 -l.00000E+00 4.11208E+00
`
`
`
`
`A4 =
`3.49457E-05
`2.96369E-02
`2.67862E-01
`1.66708E-01
`
`
`
`
`
`
`
`
`
` A6 = -4.55220E—02 —9.17243E—02 -4.15914E—01 -1.98962E—01
`
` A8 = 6.51602E-02 -2.42042E-02 3.83901E-01 2.25433E-01
`
`
`A10=
`-7.79815E-02
`2.51248E-02
`-l.78205E-01
`-8.27646E-02
`
`
`Surface #
`6
`7
`8
`
`
`k : —l.12706E+00
`-l.30962E+00 —l.00000E+00
`
`
`
`
`
` A4 = -4.56596E-02 2.01105E-01 -2.34695E-01
`
`
`
`
`
`
`A6 =
`2.54302E-02
`-4.02832E-01
`8.81942E-02
`
`
`
`
`
`
`
` A8 = -3.32017E—01 3.51391E—01 -4.03093E—02
`
`
`
`
`
`
`
` A10= 2.06893E-01 -l.58354E-01 2.08805E-02
`
`
`
`
`
`
`A12=
`5.84078E-01
`-l.79126E-02
`-l.45209E-03
`
`Al 4=
`
`A16:
`
`-9.27l 75E—01
`
`4.99293E—02
`
`-2.15920E—03
`
`4.3394lE-01
`
`-l.39098E-02
`
`4.43370E-04
`
`
`
`
`TABLE 6B
`
`
`Aspheric Coefficients
`
`Sm‘facc #
`9
`
`
`k =
`-5.61223E+00
`
`
`A1 =
`
`
`A2 =
`
`
`A3 =
`
`
`A4 =
`-l .65649E-01
`
`
`A5 =
`
`
`A6 =
`8.29262E-02
`
`
`A7 =
`
`
`A8 =
`—3.33359E—02
`
`
`A9 =
`
`
`A10=
`5.86801E-03
`
`
`Al 1:
`
`
`
`
`
`6.12636E—04
`
`:i:;
`
`
`Al4=
`-3.75788E-04
`
`A15:
`
`
`A16:
`3.66007E-05
`
`Fig. 20
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 21 0f 45
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 21 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 21 of 29
`
`US 2011/0261470 A1
`
`TABLE 7
`(Embodiment 4)
`f = 3.42 mm, Fno F 2.80. HFOVF 33.0 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`I
`
`2
`3
`
`4
`
`5
`6
`
`7
`8
`
`9
`10
`
`11
`
`12
`
`Object
`
`Lens I
`
`Ape. Stop
`
`Plano
`
`Infinity
`
`1.56985 (ASP)
`
`-18.18180 (ASP)
`Plano
`
`0.592
`
`0.018
`0.089
`
`Plastic
`
`1.544
`
`55.9
`
`2.68
`
`Lens 2
`
`9.70870 (ASP)
`
`().300
`
`Plastic
`
`1.632
`
`23.4
`
`-4.42
`
`2.14269 (ASP)
`-2.64863 (ASP)
`
`-0.94122 (ASP)
`3.12500 (ASP)
`
`0.91611 (ASP)
`Plano
`
`Plano
`
`Plano
`
`0.604
`0.900
`
`0.391
`0.340
`
`0.533
`().300
`
`0.325
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`Plastic
`
`1.544
`
`55.9
`
`2.26
`
`Plastic
`
`1.583
`
`30.2
`
`-2.36
`
`Glass
`
`1517
`
`64.2
`
`Fig. 21
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 22 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 22 of 29
`
`US 2011/0261470 A1
`
`
`
`
`
` TABLE 8A
`
`
`Aspheric Coefficients
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
` Surface # l 2 4 5 6 7
`
`
`
`
`
`
`
`k =
`-3.01678E-01
`-l.00000E+00
`-l.00000E+00
`-6.62345E+00
`5.67404E-01
`-9.49566E-01
`
`
`
`A4 =
`2.39725E-02
`1.37339E-02
`-3.68222E-04
`1.26255E-01
`-6.10550E-02
`1.03733E-01
`
`
`A6 =
`—6.19364E—02
`1.69233E—02
`—6.68315E—02 —1.573l6E—02 —7.34310E—03 —2.74l86E—01
`
`A8 =
`1.80843E-01
`-5.09358E-Ol
`-2.88268E-0]
`-l .37201E-02
`-3.409l 3E-01
`3.10383E-Ol
`
`
`
`A10=
`-2.18630E-01
`5.09817E-01
`1.43726E-01
`4.58472E-01
`-2.23341E-01
`
`
`A12=
`6.03989E—01
`1.60130E—02
`
`Al4=
`
`A16=
`
`-l .02809E+00
`
`9.16945E-02
`
`3.74229E-01
`
`-3.3683 8E-02
`
`
`
`
`TABLE 8B
`
`
`Aspheric Coefficients
`
`Surface #
`8
`9
`
`
`k =
`—1.00000E+00 —4.70223E+00
`
`
`A1 =
`
`
`A2 =
`
`
`A3 :
`
`
`A4 =
`—3.88024E—01 —2.l3968E—01
`
`
`A5 =
`
`
`A6 :
`2.08596E—01
`1.19788E—01
`
`
`A7 =
`
`
`A8 =
`-6.1571 lE-02
`-4.73336E-02
`
`
`A9 :
`
`
`A10=
`1.34761E—02
`8.97666E—03
`
`
`Al l=
`
`
`A12:
`—4.8529lE—04
`6.08660E—04
`
`
`A13:
`
`
`Al4=
`-l .l4619E-03
`-5.21237E-()4
`
`A15:
`
`
`A16:
`2.35661E—04
`5.59110E—05
`
`Fig. 22
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 23 of 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 23 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 23 of 29
`
`US 2011/0261470 A1
`
`TABLE 9
`(Embodiment 5)
`f = 2.92 mm, Fno - 2.47. HFOV - 33.1 deg.
`
`Surface #
`
`Curvature Radius ThickneSS Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`1.
`
`2
`3
`
`4
`
`5
`6
`
`7
`8
`
`9
`O
`
`11
`
`12
`
`Object
`
`Lens 1
`
`Plano
`
`Infinity
`
`1.05869 (ASP)
`
`0.543
`
`Plastic
`
`1.544
`
`55.9
`
`1.74
`
`Ape. Stop
`
`-7.37890 (ASP)
`Plano
`
`0.009
`0.064
`
`Lens 2
`
`-7.01380 (ASP)
`
`().300
`
`Plastic
`
`1.632
`
`23.4
`
`-2.78
`
`2.38492 (ASP)
`-1.69999 (ASP)
`
`-0.67302 (ASP)
`-23.87910 (ASP)
`
`0.90530 (ASP)
`Plano
`
`Plano
`
`Plano
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`0.463
`0.590
`
`0.107
`0.320
`
`0.429
`0.300
`
`0.270
`
`Plastic
`
`1.544
`
`55.9
`
`1.70
`
`Plastic
`
`1.544
`
`55.9
`
`-1.60
`
`Glass
`
`1.57
`
`64.2
`
`Fig. 23
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 24 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 24 of 29
`
`US 2011/0261470 A1
`
`
`
`
`TABLE 10A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`k =
`-6.60895E—-00
`5.00000E+00
`4.23982E+00
`4.98174E+00
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
` A4= 6.81251E—01 2.48201E—01 5.37192E—01 3.18223E—01
`
`
`A6 =
`-1.47683E"00
`-4.33294E-01
`-3.17587E"00
`5.80483E-02
`
`A8 =
`5.01928E--00 —2.95662E--00
`1.99742E+01 —3.21822E—-00
`
`
`A10=
`
`-1.39872E—-01
`
`1.97993E—-01
`
`-9.07582E—-01
`
`1.50627E+01
`
`
`
`
`
`A12:
`
`2.28705E--01
`
`-5.65539E--01
`
`2.18117E+02
`
`-2.39499E--01
`
`A14=
`
`—1.63974E—-01
`
`5.87273E--01 —2.12952E--02
`
`1.31201E+01
`
`Surface #
`
`7
`
`8
`
`9
`
`k =
`
`—4.95 802E—-00 —1.41637E+00 —9.82193E—-00
`
`
`
`
`
`
`
` A4 = -7.50125E-01 -3.68291E-01 -2.91822E-01
`
`
`
`
`A6 =
`1.68765E--00
`2.66313E-01
`2.39309E-01
`
`A8 =
`
`—3.62830E—-00
`
`3.80551E—02 —1.45704E—01
`
`A10=
`
`4.12955E"00
`
`-1.06924E-01
`
`4.70123E-02
`
`A12:
`
`—1 .74593E—-00
`
`4.24790E—02 —6.44424E—03
`
`
`A14=
`4.96955E-02
`-5.59041E-03
`1.92941E-04
`
`
`
`
`TABLE 10B
`
`
`Aspheric Coefficients
`
`Surface #
`6
`
`
`k =
`-5.50622E+00
`
`
`A1 =
`
`
`A2 =
`
`
`A3 =
`
`
`A4 =
`-2.84743E-01
`
`
`A5 =
`
`
`A6 =
`1.15144E+00
`
`
`A7 =
`
`
`A8 =
`—1.35905E+01
`
`
`A9 =
`
`
`A10=
`5.26616E+01
`
`
`A11=
`
`A12=
`-9.44000E+01
`
`A13=
`
`
`A14=
`6.51421E+01
`
`.
`Flg. 24
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 25 0f 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 25 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 25 of 29
`
`US 2011/0261470 A1
`
`TABLE 11
`(Embodiment 6)
`f– 2.92 mm, Fno - 2.45. HFOV – 31.5 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe H
`
`Focal
`length
`
`Plano
`
`Infinity
`
`Plastic
`
`1.544
`
`55.9
`
`1.71
`
`Plastic
`
`1632
`
`23.4
`
`-2.78
`
`Plastic
`
`1.544
`
`55.9
`
`1.46
`
`Plastic
`
`1530
`
`55.8
`
`-1.49
`
`Glass
`
`1.57
`
`64.2
`
`0.483
`-0.037
`0.087
`
`0.300
`
`O.559
`0.582
`0.055
`0.412
`
`0.450
`O.300
`
`0.383
`
`Fig. 25
`
`O
`
`l
`2
`3
`
`4
`
`5
`6
`7
`8
`
`9
`O
`
`11
`
`12
`
`Object
`
`Lens l
`
`Ape. Stop
`
`1.20671 (ASP)
`-3.47500 (ASP)
`Plano
`
`Lens 2
`
`-5.62310 (ASP)
`
`2.60470 (ASP)
`-1.28506 (ASP)
`-0.56890 (ASP)
`-8.60550 (ASP)
`
`0.88221 (ASP)
`Plano
`
`Plano
`
`Plano
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 26 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 26 of 29
`
`US 2011/0261470 A1
`
`
`
`TABLE 12A
`
`
`
`Aspheric Coefficients
`Surface #
`l
`2
`4
`
`
`k
`=
`-5.12543E-01
`-4.5654lE+Ol
`-5.00000E+Ol
`-l .36866E+Ol
`
`
`A4 =
`5.223 8713-05
`-4.09754E-02
`2.40549E-01
`3.60830E-01
`
`
`A6 =
`-2.40444E-01
`1.72263E-01
`3.37400E-01
`2.06326E-02
`
`
`A8 =
`5.64581E-Ol
`-l.39477E+00
`-2.78304E--00
`2.14698E-01
`
`
`
`
`6.51986E+00
`
`—5.31993E--00
`
`A10: —1.28637E+00
`
`1.28574E+00
`
`A12=
`
`Surface #
`6
`7
`8
`
`
` k = 6.82531E-01 -3.l3506E+00 4.11889E+01
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`A4 :
`—2.18469E—01 —6.57926E—01 —2.33379E—01
`
`
`A6 =
`—9.07067E—01
`6.34363E—01
`2.72919E—01
`
`
`A8 =
`4613851300
`-5.02943E-Ol
`-8.32627E-02
`
`
`A10=
`
`-1.85590E—-01
`
`-6.89802E-01
`
`-1.39278E-02
`
`A12:
`
`4.31762E—-Ol
`
`1.45250E+00
`
`-l.27833E-02
`
`A14:
`
`—3.57794E—-01
`
`7.42837E—01
`
`1.62185E—02
`
`A16:
`9.26844E—01 —1.29l71E+00 —2.65384E—03
`
`
`
`
`
`TABLE 12B
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`—9.84627E+00
`
`
`
` A1 =
`
`
`
` A2 =
`
`A3 :
`
`
`
`
`
`
` A4 = —2.54719E—01
`
`A5 =
`
`
`
`
`
`
` A6 = 2.17677E-01
`
`
`A7 =
`
`
`
`
`
` A8 : —l.50783E—Ol
`
`
`
` A9 =
`
`
`
`
`
` A10= 5.74501E-02
`
`
`
` Al l=
`
`
`
`
`
` A12: -5.964llE-03
`
`A13:
`
`A14=
`—3.53024E—03
`
`A15=
`
`
`Al6=
`9.16334E-04
`
`'
`Flg' 26
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 27 of 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 27 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 27 of 29
`
`US 2011/0261470 A1
`
`TABLE 13
`(Embodiment 7)
`f = 2.74 mm, Fno = 2.85. HFOV = 33.0 deg.
`
`Surface #
`
`Curvature Radius Thickness | Material
`
`Index
`
`Abbe #
`
`Focal
`length
`
`O
`
`1
`
`2
`3
`
`4
`
`5
`6
`7
`8
`9
`10
`
`11
`
`12
`
`Object
`
`Lens 1
`
`Plano
`
`Infinity
`
`1.12376 (ASP)
`
`0.435
`
`Plastic
`
`1544
`
`55.9
`
`1.69
`
`Ape. Stop
`
`-4.39360 (ASP)
`Plano
`
`-0.016
`0.081
`
`Lens 2
`
`-6.83070 (ASP)
`
`2.54206 (ASP)
`- 1.39259 (ASP)
`-0.56559 (ASP)
`-7.56830 (ASP)
`0.84259 (ASP)
`Plano
`
`Plano
`
`Plano
`
`Lens 3
`
`Lens 4
`
`IR-filter
`
`Image
`
`0.318
`
`0.413
`0.610
`0.085
`0.350
`0.200
`0.200
`
`0.635
`
`Plastic
`
`1.632
`
`23.4
`
`-2.89
`
`Plastic
`
`1.544
`
`55.9
`
`1.39
`
`Plastic
`
`1.544
`
`55.9
`
`-1.37
`
`Glass
`
`1517
`
`64.2
`
`Fig. 27
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 28 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 28 of 29
`
`US 2011/0261470 A1
`
`
`
`
`TABLE 14A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`
` k = -5.03545E-01 -3.30483E+01 -7.06915E--00 -8.77766E+00
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`1387211302
`
`6.50329E-02
`
`4.2821513-01
`
`4.81 79313-0]
`
`-4.26496E-01
`
`-3.18860E-01
`
`-l.09190E—-00
`
`-1.78893E-01
`
`A4 =
`
`A6 =
`
`
`
`
`
`
`
` A8 = 1.53004E+00 -3.12638E+00 6.00750E-Ol 3.40969E-Ol
`
`
`
`
`
`
`
`
`
` A10: —4.14356E+00 5.74238E+00 2.58045E+00
`
`
`
`
`
` A12= —l.00828E+01
`
`
`
`
`Surface #
`6
`7
`8
`
`
`k =
`-3.37015E-01
`-3.52811E+00
`3.59862E+01
`
`
`
`
`
`
`
` A4 : -1.13610E-01 -7.64092E-01 —4.l9287E-01
`
`
`
`
`
` A6 = —l.54958E--00 9.16724E-01 3.99467E-01
`
`
`
`
`
`
`
`
`
`
`
` A8 = 8.04357Efi00 -6.26682E-01 -8.03023E-02
`
`
`
`
`
`
`
`A10=
`-2.9306lE—-01
`-l.26633E+00
`-2.l6868E-02
`
`A12:
`
`7.18221E—-01
`
`2.51890E—-00
`
`-2.89534E-02
`
`A14:
`
`—8.02512E—-01
`
`l.45572E—-00
`
`3.12391E-02
`
`
`
`
`
` A16: 2.22150E--01 —2.77048E+00 —5.86037E-03
`
`
`
`
`TABLE 14B
`
`
`Aspheric Coefficients
`
`Sm‘face #
`9
`
`
`k =
`—9.94010E+00
`
`
`A1 =
`
`
`
`
`A3 :
`
`
`A4 =
`-3.41034E—01
`
`
`
` A5 =
`
`
`A6=
`3.15587E-01
`
`
`A7 =
`
`
`A8 :
`-2.3629lE—01
`
`
`A9 =
`
`
`A10=
`9.44] 5613-02
`
`
`Al l=
`
`
`A12:
`-8.40353E-03
`
`
`A13:
`
`
`Al4=
`-7.27069E—03
`
`A15=
`
`
`A16=
`1.94944E-03
`
`Fig. 28
`
`Apple V. Corephotonics
`Exhibit 2007
`IPR2018—01146
`
`Exhibit 2007 Page 29 of 45
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 29 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 29 of 29
`
`US 2011/0261470 A1
`
`Embodiment Embodiment Embodiment Embodiment Embodiment Embodiment Embodiment
`
`TABLE 15
`
`f
`
`Fno
`
`HFOV
`
`V1V2
`
`(T12/f)*100
`
`R1/R2
`
`R3/R4
`
`2.72
`
`2.85
`
`33.
`
`32.5
`
`2.2
`
`-0.31
`
`-526
`
`2.82
`
`2
`
`4.57
`
`2.85
`
`3.8
`
`32.5
`
`1.4
`
`-0.06
`
`-8.17
`
`1.98
`
`3
`
`3.76
`
`2.50
`
`30.6
`
`32.5
`
`3.3
`
`-0.58
`
`-1.32
`
`3.27
`
`4
`
`3.42
`
`2.80
`
`33.0
`
`32.5
`
`3.1
`
`-0.09
`
`453
`
`2.8
`
`5
`
`2.92
`
`2.47
`
`33.
`
`32.5
`
`2.5
`
`-0.14
`
`-2.94
`
`2.53
`
`6
`
`2.92
`
`2.45
`
`31.5
`
`32.5
`
`1.7
`
`-0.35
`
`-2.16
`
`2.26
`
`7
`
`2.74
`
`2.85
`
`33.0
`
`32.5
`
`2.4
`
`-0.26
`
`-2.69
`
`2.46
`
`R5/R6
`
`(R5+R6)/(R5-R6)
`
`RIAf
`
`R8/
`
`fif
`
`fify
`
`Af4
`
`(f7fl)-(ff3)
`
`SL/TTL
`
`TTL/ImgH
`
`2.10
`
`0.4
`
`0.35
`
`1.68
`
`- 80
`
`-0.97
`
`-0.17
`
`0.85
`
`1.80
`
`3.05
`
`0.32
`
`O.29
`
`1.81
`
`-2.00
`
`-0.99
`
`-0.19
`
`0.87
`
`1.75
`
`1.88
`
`0.48
`
`0.26
`
`1.72
`
`-83
`
`-100
`
`-0.12
`
`0.86
`
`2.08
`
`2.10
`
`0.46
`
`0.27
`
`1.28
`
`-45
`
`-0.96
`
`-0.24
`
`0.86
`
`1.92
`
`2.31
`
`0.36
`
`O31
`
`1.68
`
`-1.83
`
`-1.07
`
`–0.04
`
`O.83
`
`1.71
`
`2.59
`
`0.4
`
`0.30
`
`171
`
`- 1.96
`
`-0.98
`
`-0.29
`
`0.87
`
`1.94
`
`2.37
`
`0.4
`
`0.31
`
`1.62
`
`-2.00
`
`-1.01
`
`-0.35
`
`0.87
`
`1.82
`
`Fig. 29
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 30 of 45
`
`

`

`US 2011/0261470 A1
`
`Oct. 27, 2011
`
`PHOTOGRAPHING OPTICAL LENS
`ASSEMBLY
`
`BACKGROUND OF THE INVENTION
`1. Field of the Invention
`0001
`0002 The present invention relates to a photographing
`opticallens assembly, and more particularly, to a photograph
`ing optical lens assembly with reduced optical sensitivity and
`high resolution.
`0003 2. Description of the Prior Art
`0004. A conventional high resolution compact photo
`graphing optical lens assembly is generally configured Such
`that a frontal aperture stop is adopted and there are four lens
`elements in the assembly, wherein the first lens element and
`the second lens element with spherical Surfaces made of glass
`are usually combined together into a doublet lens structure in
`order to correct chromatic aberrations. This is disclosed in
`U.S. Pat. No. 7,365,920 and there are drawbacks with this
`method. First, an arrangement of too many spherical lenses
`will limit the freedom in optical system design, which makes
`it difficult to shorten the total track length of the system.
`Secondly, the bonding of glass lenses is difficult in manufac
`turing process. A lens assembly with four independent lenses
`is disclosed in U.S. Pat. No. 7.277,238, including multiple
`aspheric lenses which effectively shorten the total track
`length of the system and obtaining good image quality. How
`ever, due to the aperture stop of the system is positioned in
`front of the first lens element, the system sensitivity is
`increased which also increases the difficulty in controlling the
`yields in manufacturing.
`
`SUMMARY OF THE INVENTION
`0005. The present invention provides a photographing
`opticallens 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 and a convex
`image-side Surface; a second lens element with negative
`refractive power having a concave object-side Surface and a
`concave image-side Surface; a third lens element with positive
`refractive power; and a fourth lens element with negative
`refractive power having a concave image-side Surface, both of
`the object-side and image-side Surfaces thereof being
`aspheric; wherein the photographing optical lens assembly
`also provides an aperture stop and an electronic sensor;
`wherein the aperture stop is disposed between the first lens
`element and the second lens element; wherein the electronic
`sensor is disposed on the image plane for image formation;
`wherein there are four lens elements with refractive power in
`the photographing optical lens assembly; and wherein a focal
`length of the photographing optical lens assembly is f, a focal
`length of the first lens element is f1, a focal length of the third
`lens element is f3, a radius of curvature of the object-side
`surface of the first lens element is R1, a radius of curvature of
`the object-side surface of the third lens element is R5, a radius
`of curvature of the image-side surface of the third lens ele
`mentis R6, a distance on the optical axis between the aperture
`stop and the image plane is SL, a distance on the optical axis
`between the object-side surface of the first lens element and
`the electronic sensor is TTL, and they satisfy the relations:
`
`0006. According to another aspect of the present inven
`tion, a photographing optical lens assembly comprises, in
`
`order from the object side to the image side: a first lens
`element with positive refractive power having a convex
`object-side Surface and a convex image-side Surface; a second
`lens element with negative refractive power having a concave
`image-side surface; a third lens element with positive refrac
`tive power having a concave object-side Surface and a convex
`image-side Surface, at least one of the object-side and image
`side Surfaces thereof being aspheric; and a fourth lens element
`with negative refractive power having a concave image-side
`Surface, both of the object-side and image-side Surfaces
`thereof being aspheric, at least one inflection point formed on
`the object-side and image-side surfaces; wherein the photo
`graphing optical lens assembly also provides an aperture stop
`and an electronic sensor; wherein an aperture stop is disposed
`between the first lens element and the second lens element;
`wherein the electronic sensor is disposed on the image plane
`for image formation; wherein there are four lens elements
`with refractive power in the photographing optical lens
`assembly; wherein a focal length of the photographing optical
`lens assembly is f, a focal length of the first lens element is f1.
`a focal length of the third lens element is f3, an Abbe number
`of the first lens element is V1, an Abbe number of the second
`lens element is V2, a radius of curvature of the object-side
`surface of the first lens element is R1, a radius of curvature of
`the image-side surface of the first lens element is R2, a radius
`of curvature of the object-side surface of the third lens ele
`ment is R5, a radius of curvature of the image-side surface of
`the third lens element is R6, a distance on the optical axis
`between the aperture stop and the image plane is SL, a dis
`tance on the optical axis between the object-side surface of
`the first lens element and the electronic sensor is TTL, half of
`the diagonal length of the effective pixel area of the electronic
`sensor is ImgH, and they satisfy the relations:
`–0.27-(f7fl)-(f7f3)<-0.05:31.0<V1-V2<42.0:-2.
`
`0007 According to another aspect of the present inven
`tion, a photographing optical lens assembly comprises, in
`order from the object side to the 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 concave image-side Surface; a third
`lens element with positive refractive power having a concave
`object-side Surface and a convex image-side Surface, at least
`one of the object-side and image-side Surfaces thereof being
`aspheric; and a fourth lens element with negative refractive
`power having a concave image-side Surface, both of the
`object-side and image-side surfaces thereof being aspheric, at
`least one inflection point formed on the object-side and
`image-side Surfaces; wherein the photographing optical lens
`assembly provides an aperture stop and an electronic sensor;
`wherein the aperture stop is disposed between the first lens
`element and the second lens element; wherein the electronic
`sensor is disposed on the image plane for image formation;
`and wherein there are four lens elements with refractive
`power in the photographing optical lens assembly; and
`wherein a focal length of the photographing lens assembly is
`f, a focal length of the fourth lens element is fa, a radius of
`curvature of the object-side surface of the third lens element
`is R5, a radius of curvature of the image-side surface of the
`third lens element is R6, an Abbe number of the first lens
`element is V1, an Abbe number of the second lens element is
`V2, a distance on the optical axis between the aperture stop
`and the image plane is SL, a distance on the optical axis
`
`Apple v. Corephotonics
`Exhibit 2007
`IPR2018-01146
`
`Exhibit 2007 Page 31 of 45
`
`

`

`US 2011/0261470 A1
`
`Oct. 27, 2011
`
`between the object-side surface of the first lens element and
`the electronic sensor is TTL, and they satisfy the relations:
`
`0008 Such an arrangement of optical elements can effec
`tively reduce the total track length of the lens assembly, lower
`the sensitivity of the optical system, and obtain higher reso
`lution image quality.
`0009. In the aforementioned photographing optical lens
`assembly, the first lens element with positive refractive power
`supplies refractive power for the system and reduces the total
`track length of the system; the second lens element with
`negative refractive power may correct the chromatic aberra
`tion of the system; the third lens element with positive refrac
`tive power can effectively distribute the refractive power of
`the first lens element and reduce the sensitivity of the system;
`the fourth lens element with negative refractive power acts as
`a corrective lens, which can balance and correct the various
`aberrations in the system.
`0010. In the aforementioned photographing optical lens
`assembly of the present invention, the first lens element can
`be a bi-convex lens element or a meniscus lens element hav
`ing a concave object-side Surface and a convex image-side
`surface. When the first lens element is a bi-convex lens ele
`ment, the refractive power thereof can be effectively
`enhanced, thus shortening the total track length of the system.
`When the second lens element is a meniscus lens element
`with a convex object-side Surface and a concave image-side
`surface, the spherical aberration of the system can be cor
`rected more favorably. When the image-side surface of the
`second lens element is concave, Petzval Sum of the system
`can be effectively corrected and the back focal distance of the
`system can be enlarged to obtain enough back focal distance
`for placing other components in the photographing optical
`lens assembly. When the second lens element is a bi-convex
`lens element, chromatic aberration of the system can be favor
`ably corrected with the corresponding choice of materials.
`When the second lens element is a meniscus lens element
`with a convex object-side Surface and a concave image-side
`Surface, astigmatism of the system can be favorably cor
`rected, and the sensitivity of the system can be reduced. When
`the third lens element has a concave object-side Surface and a
`convex image-side surface, high order aberration can be
`favorably corrected. The fourth lens element can be a bi
`concave lens element or a meniscus lens element with a
`convex object-side Surface and a concave image-side Surface.
`When the fourth lens element is a bi-concave lens element,
`the principal point of the optical system can be further away
`from the image plane, which reduces the total track length of
`the system in order for the system to stay compact. When the
`fourth lens element has a convex object-side Surface and a
`concave image-side Surface, astigmatism and high order aber
`rations of the system can be favorably corrected.
`0011. In the aforementioned photographing optical lens
`assembl