throbber
(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
`IPR2019-00030
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`

`Patent Application Publication
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`Oct. 27, 2011 Sheet 1 of 29
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`US 2011/0261470 A1
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`A
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`
`Apple v. Corephotonics
`IPR2019-00030
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`

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`Exhibit 2003 Page 3 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 3 of 45
`
`

`

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`
`Oct. 27, 2011 Sheet 3 of 29
`
`US 2011/0261470 A1
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`Apple v. Corephotonics
`IPR2019-00030
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 5 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 5 of 45
`
`

`

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`
`Oct. 27, 2011 Sheet 5 of 29
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`US 2011/0261470 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 6 of 45
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 7 of 45
`
`

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`
`Oct. 27, 2011 Sheet 7 of 29
`
`US 2011/0261470 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 8 of 45
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 10 of 45
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 11 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 11 of 45
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`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 11 of 29
`
`US 2011/0261470 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 12 of 45
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`US 2011/0261470 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 13 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 13 of 29
`
`US 2011/0261470 A1
`
`
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`Q SY X & (SN Ps
`s s
`N N All
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`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 18 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27,2011 Sheet 18 of 29
`
`US 2011/0261470 Al
`
`
`
`TABLE 4A
`
`
` Surface # 1 2 4 5
`
`
`
`
`
`
`
`
`Aspheric Coefficients
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`k = -5.43793E-01|-8.59803E+00|-2.14749E-01|5.00000E+00
`
`
`
`A4= 1.26659E-02|-8.37485E-02|-1.94495E-02|7.58927E-02
`
`
`
`
` -1.90852E-02|1.17121E-01 1.45366E-01|4.58898E-02A6=
`
`
`
`
`
`
`
`
`
` 2.42863E-02|-1.18300E-01|-4.11414E-03|6.91819E-02Ag =
`
`
`
` Al0=|-4.90397E-02|3.47089L-02|-2.02763E-01
`
`
`Al2=
`2.08668E-01
`
`
`Surface #
`6
`7
`8
`
`
`k = -9.99627E-04|-3.71743E+00|4.46095E+01
`
`
`
`
`
`
` -8.57882E-02|-2.34108E-01|-6.89851E-02A4=
`
`
`
`
`
`
`
` A6O= -1.73682E-01 1.22155E-01 2.99373E-02
`
`
`
`
`A8 = 2.52671E-01|-6.48451E-02|-2.95486E-03
`
`
`
`
`
`
` -4.73961E-01|-1.43033E-02|-6.03580E-04Al10=
`
`Al2= 2.38590E-02|-5.85877E-055.00829E-01
`
`
`
`
`
`
`Al6= -7.46180E-03|-4.48295E-03|-7.47359E-06
`
`Al4=
`
`-1.81882E-01
`
`4.57785E-03
`
`7.08843E-05
`
`
`
`
`TABLE 4B
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`-1.35559E+01
`
`
`Al=
`
`
`A2=
`
`
`A3=
`
`
`A4=
`-9.18164E-02
`
`
`AS =
`
`
`A6=
`3.794635E-02
`
`
`AT=
`
`
`A& =
`-1.29973E-02
`
`
`AQ=
`
`Al0=
`2.27857E-03
`All=
`
`
`Al2=
`-6.78102E-05
`
`
`Al3=
`
`
`Al4=
`-4.09748E-05
`
`Al5=
`
`Al6=
`
`4.50673E-06
`
`.
`F1g. 18
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 19 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 20 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27,2011 Sheet 20 of 29
`
`US 2011/0261470 Al
`
`
`
`
`TABLE 6A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`
`
`
` -5,18509E-01|-3.33905E+01|-1.00000E+00|4.11208E+00k =
`
`
`A4= 3.49457E-05|2.96369E-02|2.67862E-01|1.66708E-01
`
`
`
`
`
`
` -4.55220E-02|-9.17243E-02|-4.15914E-01|-1.98962E-01A6=
`
`
`
`
`
`
`
` 6.51602E-02|-2.42042E-02|3.83901E-01A&= 2.25433E-01
`
`
`Al0=|-7.79815E-02|2.51248E-02|-1.78205E-01|-8.27646E-02
`
`
`Surface #
`6
`7
`8
`
`
`k = -1.12706E+00|-1.30962E+00|-1.00000E+00
`
`
`
`
`
`
`
`
` -4,56596E-02|2.01105E-01A4= -2,34695E-01
`
`
`A6= 2.54302E-02|-4.02832E-01|8.81942E-02
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
` A& = -3.32017E-01 3.51391E-01 -4,03093E-02
`
`
`
`
`
`
`
` -1,58354E-01|2.08805E-02AlL0= 2.06893E-01
`
`
`
`
`Al2= 5.84078E-01|-1.79126E-02|-1.45209E-03
`
`
`
`
`Al4= 4.99293E-02|-2.15920E-03-9.27175E-01
`
`
`
`
`
`Al6= -1.39098E-02|4.43370E-044.33941E-01
`
`
`
`
`
`
`TABLE 6B
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`-5.61223E+00
`
`Al=
`
`
`A2=
`
`
`A3 =
`
`
`
`A4=
`-1.65649E-01
`
`AS=
`
`
`A6=
`8.29262E-02
`
`
`
`AT=
`
`
`
` A& = -3,33359E-02
`
`
`
`
`
` AQ =
`
`
`Al0=
`5.86801E-03
`
`All=
`
`
`
`
`— 6.12636E-04
`
`
`
`
`Al4=
`-3.75788E-04
`
`Al5=
`
`Al6=
`
`3.66007E-05
`
`Fig. 20
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 21 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 22 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27,2011 Sheet 22 of 29
`
`US 2011/0261470 Al
`
`
`
`TABLE 8A
`
`
`
`Aspheric Coefficients
`Surface #
`1
`2
`4
`5
`6
`7
`
`
`k =|-3.01678E-OL|-1.00000E+00|-1.00000E+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
`
`
`AG=|-6.19364E-02|1.69233E-02|-6.68315E-02|-1.57316E-02|-7.34310E-03|-2.74186E-01
`
`
`A8=|1.80843E-01|-5.09358E-01|-2.88268E-01|-1.37201E-02|-3.40913E-01|3.10383E-01
`
`
`
`A10=|-2.18630E-01|5.09817E-01|1.43726E-01 4.58472E-01|-2.23341E-01
`
`
`Al2= 6.03989E-01|1.60130E-02
`
`
`
`
`
`Al4= -1.02809E+00|9.16945E-02
`
`
`
`Al6= 3.74229E-01|-3.36838E-02
`
`
`
`
`TABLE 8B
`
`
`Aspheric Coefficients
`
`Surface #
`8
`9
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`k =|-1.00000E+00|-4.70223E+00
`
`Al=
`
`
`Al=
`
`
`
`
` A3=
`
`
`
` A4=|-3.88024E-01|-2.13968E-01
`
`
`A6=|2.08596E-01|1.19788E-01
`
`AS=
`
`
`A8=|-6.15711E-02|-4.73336E-02
`
`
`
`
` AT=
`
`
`A=
`
`
`
` Al0=|1.34761E-02|8.97666E-03
`
`All=
`
`
`
`
` Al2=|-4.85291E-04|6.08660E-04
`
`
`
` AL3=
`
`Al4=|-1.14619E-03|-5.21237E-04
`
`
`Al6=|2.35661E-04|5.59110E-05
`
`AL5=
`
`Fig, 22
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 23 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 24 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27, 2011 Sheet 24 of 29
`
`US 2011/0261470 Al
`
`
`
`TABLE 10A
`
`
`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
`
`
`
`A&8 = 5.01928E+00|-2.95662E+00|1.99742E+01|-3.21822E+00
`
`
`
`Al0=|-1.39872E+01|1.97993E+01|-9.07582E+01|1.50627E+01
`
`
`
`Al2= 2.28705E+01|-5.65539E+0L|2.18L17E+02|-2.39499E+01
`
`Al4=|-1.63974E+01|5.87273E+01|-2.12952E+02|1.31201E+01
`
`Surface #
`
`7
`
`8
`
`9
`
`
`
`k = -4.95802E+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
`
`
`
`Al0= 4.12955E+00|-1.06924E-01|4.70123E-02
`
`Al2=|-1.74593E+00|4.24790E-02|-6.44424E-03
`
`
`
`Al4= 4,96955E-02|-5.59041E-03|1.92941E-04
`
`
`
`
`TABLE10B
`
`
`Aspheric Coefficients
`
`Surface #
`6
`
`
`k =
`-5.50622E+00
`
`Al=
`
`
`
`
` A2=
`
`A3=
`
`
`
`
` A4= -2.84743E-01
`
`
`
`A5=
`
`
`
`Aspheric Coefficients
`Surface #
`1
`2
`4
`5
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
` A6= 1.15144E+00
`
`
`
`
`AT=
`
`A8 =
`-1.35905E+01
`
`
`
`AD =
`
`
`Al0=
`5.26616E+01
`
`All=
`
`
`
`Al2=
`-9.44000L+01
`
`Al3=
`
`Al4=
`
`6.51421E+01
`
`Fig. 24
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 25 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 26 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27,2011 Sheet 26 of 29
`
`US 2011/0261470 Al
`
`
`
`
`TABLE 12A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`
`
`
` -5.12543E-01|-4.56541E+01|-5.00000E+01|-1.36866E+01k =
`
`
`
`
`
`
`
`
`
` 5.22387E-05|-4.09754E-02|2.40549E-01A4= 3.60830E-01
`
`
`
`
`A6= -2.40444E-01|1.72263E-01 3.37400E-01 2.06326E-02
`
`
`
`
`
`
` 5.64581E-01|-1.39477E+00|-2.78304E+00|2.14698E-01A& =
`
`AlO0=|-1.28637E+00|1.28574E+00|6.51986E+00
`
`Al2=
`
`-5.31993E+00
`
`
`k = 6.82531E-01|-3,13506E+00|4.11889E+01
`
`
`
`Surface #
`6
`7
`8
`
`
`
`
`
` -2.18469E-01|-6.57926E-01|-2.33379E-01A4=
`
`
`
`
`
`
`
`
`
` -9.07067E-01|6.34363E-01A6G= 2.72919E-01
`
`
`
`
`
` 4.61385E+00|-5.02943E-01|-8.32627E-02A&=
`
`Al0=|-1.85590E+01|-6.89802E-01|-1.39278E-02
`
`
`
`Al2= 4,31762E+01|1.45250E+00|-1.27833E-02
`
`
`
`Al4—_|-3.57794E+01|7.42837E-01 1.62185E-02
`
`
`
`Al6= 9.26844E-01|-1.29171E+00|-2.65384E-03
`
`
`
`
`TABLE12B
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`-9,84627E+00
`
`
`Al=
`
`
`A2=
`
`
`A3=
`
`
`A4=
`-2.54719E-01
`
`
`
` AS=
`
`
`A6=
`2.17677E-01
`
`
`A7=
`
`
`A& =
`-1.50783E-01
`
`
`AJ =
`
`
`Al0=
`5.74501 LE-02
`
`
`All=
`
`
`Al2=
`-5.9641 LE-03
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`Al3=
`
`
`
`Al4=|-3,530245-03 Fig. 26
`
`:
`
`
`Al5=
`
`Al6=
`
`9.16334E-04
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 27 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 Page 28 of 45
`
`

`

`Patent Application Publication
`
`Oct. 27,2011 Sheet 28 of 29
`
`US 2011/0261470 Al
`
`
`
`
`TABLE 14A
`
`
`Aspheric Coefficients
`
`Surface #
`1
`2
`4
`5
`
`
`k -5.03545E-01|-3.30483E+01|-7.06915E+00|-8.77766E+00=
`
`
`
`A4=
`
`1.38721 E-02
`
`6.50329E-02
`
`4.28215E-01
`
`4.81793E-01
`
`
`
`
`
`A6= -4.26496E-01|-3.18860E-01|-1.09190E+00|-1.78893E-01
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`A8 = 1.53004E+00|-3.12638E+00|6.00750E-01 3.40969E-01
`
`
`Al0=|-4.14356E+00|5.74238E+00|2.58045E+00
`
`
`Al2=
`-1.00828E+01
`
`
`Surface #
`6
`7
`8
`
`
`k = -3.37015E-01|-3.52811E+00|3.59862E+01
`
`
`
`A4= -L.13610E-01|-7.64092E-01|-4.19287E-01
`
`
`
`
`
`A6= -1.54958E+00|9.16724E-01 3.99467E-01
`
`
`A&8 = 8.04357E+00|-6.26682E-01|-8.03023E-02
`
`
`
`Al0=|-2.93061E+01|-1.26633E+00|-2.16868E-02
`
`
`
`Al2= TA8221E+0L|2.51890E+00|-2.89534E-02
`
`
`
`
`Al4=|-8.02512E+01|1.45572E+00|3.12391E-02
`
`
`
`Al6= 2.22150E+01|-2.77048E+00|-5.86037E-03
`
`
`
`
`TABLE 14B
`
`
`Aspheric Coefficients
`
`Surface #
`9
`
`
`k =
`-9.94010E+00
`
`
`Al=
`
`
`
`
`A3=
`
`
`A4=
`-3.41034E-01
`
`
`
` AS =
`
`
`A6=
`3.15587E-01
`
`
`AT =
`
`
`A&8=
`-2.36291E-01
`
`
`A=
`
`
`Al0=
`9.44156E-02
`
`
`All=
`
`
`Al2=
`-8.40353E-03
`
`
`Al3=
`
`
`Al4=
`-7,.27069E-03
`
`Al5=
`
`Al6=
`
`1.94944E-03
`
`Fig. 28
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 Page 29 of 45
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 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
`IPR2019-00030
`Exhibit 2003 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
`assembly, the aperture stop is disposed between the first lens
`element and the second lens element. By providing positive
`refractive power from the first and third lens elements, while
`the aperture stop is disposed closer to the object side of the
`photographing optical lens assembly, the total track length of
`the photographing optical lens assembly can be effectively
`reduced. In addition, the aforementioned arrangement also
`enables the exit pupil of the photographing optical lens
`assembly to be positioned faraway from the image plane, thus
`light will be projected onto the electronic sensor at a nearly
`
`perpendicular angle, and this is the telecentric feature of the
`image side. The telecentric feature is very important to the
`photosensitive power of the current solid-state sensor as it can
`improve the photosensitivity of the sensor to reduce the prob
`ability of the occurrence of shading. Moreove

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