(19) United States
`(12) Patent Application Publication (10) Pub. No.: US 2011/0279910 A1
`Tang et al.
`(43) Pub. Date:
`Nov. 17, 2011
`
`US 2011027991 OA1
`
`(54) PHOTOGRAPHING OPTICAL LENS
`ASSEMBLY
`
`(75) Inventors:
`
`Hsiang Chi Tang, Taichung City
`(TW); Chun Shan Chen, Taichung
`City (TW); Ming Ching Lin,
`Taichung City (TW)
`
`(73) Assignee:
`
`LARGAN PRECISION CO.,
`LTD., Taichung City (TW)
`
`(21) Appl. No.:
`1-1.
`(22) Filed:
`
`12/846,374
`
`Jul. 29, 2010
`
`(30)
`
`Foreign Application Priority Data
`
`May 11, 2010 (TW) ................................. O991. 14919
`
`Publication Classification
`
`(51) Int. Cl.
`(2006.01)
`GO2B I3/8
`(52) U.S. Cl. ........................................................ 359/716
`57
`ABSTRACT
`(57)
`This invention provides a photographing optical lens assem
`bly comprising, in order from an object side to an image side:
`a first lens element with positive refractive power having a
`convex object-side Surface; a second lens element with nega
`tive refractive power having a concave object-side Surface
`and a concave image-side Surface, the object-side and image
`side Surfaces thereof being aspheric; a third lens element
`having a concave image-side surface, the object-side and
`image-side Surfaces thereof being aspheric, at least one
`inflection point formed on the image-side surface; wherein
`there are three lens elements with refractive power. Such an
`arrangement of lens elements can effectively reduce the total
`track length of the lens assembly, attenuate the sensitivity of
`the optical system and obtain higher resolution.
`
`120
`
`a
`
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`Patent Application Publication
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`US 2011/027991.0 A1
`
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`

`

`Patent Application Publication
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`Nov. 17, 2011 Sheet 2 of 20
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`US 2011/0279910 A1
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`Apple V. Corephotonics
`IPR2019—00030
`
`Exhibit 2009 Page 3 0f 33
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 3 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 3 of 20
`
`US 2011/027991.0 A1
`
`
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 4 of 33
`
`

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`Patent Application Publication
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`Nov. 17, 2011 Sheet 4 of 20
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`US 2011/0279910 A1
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`IPR2019—00030
`
`Exhibit 2009 Page 5 0f 33
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 5 of 33
`
`
`
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`Nov. 17, 2011 Sheet 5 of 20
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`US 2011/027991.0 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 6 of 33
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`Apple V. Corephotonics
`IPR2019—00030
`
`Exhibit 2009 Page 7 0f 33
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 7 of 33
`
`
`
`
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 7 of 20
`
`US 2011/027991.0 A1
`
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`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 8 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 8 of 20
`
`US 2011/027991.0 A1
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`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 9 of 33
`
`

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`
`Nov. 17, 2011 Sheet 9 of 20
`
`US 2011/027991.0 A1
`
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`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 10 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 10 of 20
`
`US 2011/027991.0 A1
`
`
`
`
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`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 11 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 11 of 20
`
`US 2011/027991.0 A1
`
`
`
`TABLE
`(Embodiment 1)
`f = 2.18 mm, Fno - 2.48, HFOV = 35.1 deg.
`
`Surface it
`o L Object
`1
`Stop
`2
`Lens 1
`3
`4
`
`
`
`Lens 3
`
`IR-filter
`
`5 I also asp
`6
`2.256410 (ASP)
`7
`0.729350 (ASP)
`8
`1.013500 (ASP) -
`9
`Plano
`
`Curvature Radius Thickness Material
`Plano
`Infinity -
`Plano
`olo
`0.792830 (ASP)
`0.381
`2,399930 (ASP)
`0.23
`Plano
`O. 108
`
`
`
`1.544
`
`length
`-
`—l -
`55.9
`2.01
`-
`
`Plastic
`
`
`
`Plastic
`os37
`0.7 --
`0.594
`Plastic
`0.300 --
`O.300
`Glass
`
`10
`11
`
`- Image
`
`Plano
`Plano
`
`0.184
`
`-
`
`Notes: Clear aperture diameter on surface #4 is 0.85mm
`
`Fig. 6
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 12 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 12 of 20
`
`US 2011/027991.0 A1
`
`Surface H.
`
`2
`
`TABLE 2A
`Aspheric Coefficients
`3
`
`5
`
`6
`
`-1.70311 E--00
`
`4.6O139E--00
`
`-4,3984 OE-01
`
`-5.00000E--01
`
`2.48871E-O
`
`142068E-01
`
`4,34505E-01
`
`- 1.21764E--00
`
`4.00993E-00
`
`-3.7987OE-00 -4.08395E--O1 4.18994E-00
`
`-3.79966E--O1
`
`3.61232E--O1
`
`6.9975E-02 -5.69601E-00
`
`2.3519 E--O2
`
`- 193953E--O2 -6. O7924E--03
`
`-8.91729E-02
`
`2.1741OE-02 . 2.56892E+04
`
`141526E-03
`
`-4.33714E+04
`
`-2.77738E--00
`1.5905OE+01
`-1, 5845E-01
`
`Fig. 7A
`
`TABLE 2 B
`Aspheric Coefficients
`7
`
`8
`
`Surface #
`
`k .
`
`-6.09970E--00 || -5.564OOE-0
`
`A1 =
`A.
`A3 =
`
`A4 =
`
`-6.64433E-0 || -8.13853E-01
`
`AS r
`
`A6 F
`
`A7 =
`|- A8
`A9 -
`
`6.0.6849E-01 || 6.99.534E-01
`
`-8.81356E-O2 -5.75264E-O
`
`A 10-
`
`-3.22493E-01
`
`2.80439E-01
`
`A11 =
`
`-6.57493E-02
`A2= 185218E-O1
`--
`
`
`
`-319158E-04
`-- r
`
`8,95229E-04
`Fig. 7B
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 13 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 13 of 20
`
`US 2011/027991.0 A1
`
`TABLE 3
`(Embodiment 2)
`f = 1.99 mm, Fno 2.85, HFOV - 37.5 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe it
`
`Focal
`length
`
`O
`
`Object
`Lens
`
`-
`
`Infinity
`Plano
`1.98
`55.9
`1.544
`| Plastic
`0.422
`0.877350 (ASP)
`0.039 H
`3.931000 (ASP)
`2
`0.30
`Plano
`Stop
`3
`- - - - - - - - - -
`4
`Lens 2
`-4.025300 (ASP)
`0.382
`Plastic
`1632
`23.4
`-2.21
`5
`–
`2.218950 (ASP)
`0.177
`6
`Lens 3
`0.640490 (ASP)
`0.485
`
`Plastic
`
`-
`1.544
`
`55.9
`
`2.35
`
`0.942690 (ASP)
`Plano
`
`0.200
`- O.300
`
`IR-filter
`
`Glass
`
`1517
`
`64.2
`
`-
`
`7
`8
`
`9
`
`1 O
`
`Image
`
`Plano
`
`Plano
`
`0.209
`
`Fig. 8
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 14 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 14 of 20
`
`US 2011/027991.0 A1
`
`Surface it
`
`TABLE 4A
`Aspheric Coefficients
`2
`
`-T- -
`4
`
`5
`
`k
`
`-2.873 E--00 || 486227E--O
`
`-OOOOOE-HOO -5.00000E--0
`
`
`
`
`
`
`
`148051E-01 || - 19960OE-01 | 1.20791E-01
`
`- 145607E--00
`
`---
`
`3.1380OE-HOO
`
`-5.42464E-01
`
`-4.13522E+OI
`
`- 174057E--O1
`
`2.54125E-02
`
`6.17799E-01
`
`-4,08589E--01
`4,12259E-HOO
`6.92826E402 -6.04044E+00
`-3.38765E-00
`-6,06671E--03
`157689E-01
`
`-7.8661 SE--O2 2. 16076E--O2 256976E-HO4
`
`A 14 9. 16575E-02
`
`8, 1974OE-00 - 4.3435E-04
`
`-9.37542E--00
`
`Fig. 9A
`
`TABLE 4B
`Aspheric Coefficients
`
`
`
`Surface it
`
`-6.14168E-01
`
`—
`-8.14367E-0
`
`6.26996E-01
`
`-5.62864E-01
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 15 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 15 of 20
`
`US 2011/027991.0 A1
`
`TABLES
`
`-
`
`(Embodiment 3)
`f- 2.41 mm, Fno - 2.48. HFOV - 32.6 deg.
`
`Surface #
`
`Curvature Radius. Thickness || Material
`
`Index
`
`Abbe it
`
`Focal
`length
`
`O
`
`O bject
`Stop
`
`Lens 1
`
`Lens 2
`
`-
`
`Lens 3
`
`IR-filter
`
`Cover-glass
`
`
`
`
`
`
`
`Plano
`Plano
`
`0.695780 (ASP)
`1.743700 (ASP)
`Plano
`
`-1423450 (ASP)
`26,630200 (ASP)
`0.9470 (ASP)
`1.408270 (ASP)
`Plano
`
`Plano
`Plano
`
`Plano
`
`Infinity
`-0.200
`
`0.433
`0.152
`0.146
`
`0.416
`0141
`0.502 -
`0.200
`0.200
`
`0.100
`-
`0.400
`
`0.122
`
`-
`
`--
`
`1544
`
`55.9
`
`1.86
`
`
`
`Plastic
`
`1632
`
`-2.13
`
`Plastic
`
`1.54| 55.9
`
`| *
`
`Glass
`
`1517
`
`64.2
`
`-
`
`-T
`Glass
`1517
`
`64.2
`
`Image
`Plano
`ar
`Notes: Clear aperture diameter on surface #4 is 0.85mm
`
`Fig. 10
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 16 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 16 of 20
`
`US 2011/027991.0 A1
`
`2
`
`TABLE 6A
`Aspheric Coefficients
`3
`5
`-1.7652E-00-247860E00I 2.25677E+008.00000E-00 10789Eto
`3,78856E-01
`3.83934E-0 | 1.0645E-00-1.29153E+00-6,04783E-0)
`2.98885E-00 || 7.5569E-0-4.81476E+01403253E+00 5,88062E-01 "
`-2.72127E+01 || 2.47864E+00 7.46691E+02 -4.69694E--OO -2.32571 E-01
`
`6
`
`7
`
`Surface #
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`
`-8.92O72E--02 . 2, 17367E--02
`
`2.2355OE--O2
`
`141387E03
`
`-6.182O3E-HO3 -3.78219E-HOO
`
`2.56892E--04
`
`179086E--Ol
`
`Her
`
`5.47331 E-02 .
`-1.12411E-02
`
`
`
`-4.3371 7E+04 .146518E--O1
`
`Fig. 11 A
`
`TABLE 6B
`Aspheric Coefficients
`8
`
`k =
`
`- 14498OE-00
`
`A1 =
`
`A2 =
`A3 =
`A4 =
`
`A5 =
`
`A6 =
`A7 =
`
`A9 =
`
`-5.8337 E-01
`
`5.58191 E-0
`
`-550442E-01
`
`AO= 3.1054OE-01
`
`-5. 18702E-02
`
`197421E-02
`
`Fig. 11B
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 17 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 17 of 20
`
`US 2011/027991.0 A1
`
`--
`Surface #
`
`O
`
`2
`
`3
`4.
`
`5
`6
`7
`8
`
`Object
`Stop
`
`Lens !
`
`Lens 2
`
`Lens 3
`
`Image
`
`TABLE 7
`(Embodiment 4)
`f 1.11 mm, Fno = 2.04, HFOW - 32.1 deg.
`--
`Curvature Radius Thickness Material
`
`Index
`
`Plano
`Plano
`
`Infinity
`-0.030
`
`--
`Focal
`Abbe #
`length
`
`0,982860 (ASP)
`
`0.284
`
`Plastic
`
`1.535
`
`56.3
`
`2.26
`
`4.726800 (ASP)
`-9.279100 (ASP)
`
`0.141
`0.323
`
`Plastic
`
`1.535
`
`56.3
`
`-13.95
`
`38.446400 (ASP)
`0.319130 (ASP)
`0.379870 (ASP)
`Plano
`
`0.169 -
`0.250
`Plastic
`0.500
`
`Fig. 12
`
`1535
`
`56.3
`
`1.53
`
`TABLE 8
`Aspheric Coefficients
`Surface it
`2
`3
`4
`5
`6
`7
`k = losio, OOOOOOE-00 aorolaoto -3.58285E-00-1025 14E--OO
`A4 =
`4.3.1985E-02 -3.37453E-0 || -8.884O3E-O1 -7.1452E--00 101790E+OO | site
`A6 = -3,943.13E-00 | 1.32988E--01 || 2.0298OE-00 || 4,95374E+0 -2.04068E+01-4.81 817E-Ol
`A8 =
`16361E+01 -2.40399E-02 || 2.9959E-01 - 81025E-02 6.30715E-01 1.32190E+0
`A10= 1.64398E+02 189899E-03 -6,57359E-02 - 182668E--O2-9.88266E--O1 -2.6529E-01
`A12 = -2.54569E-02 5.0507E+03 6.45844E--03 2.10835E-03 2.82182E+01 - 1.23799E-01
`
`
`
`A14= -6.61656E-O2 8,06701E-04 || 6.52938E+03 741529E-03
`A16=
`-158674E--OS -3.7.6325E-04
`
`4.2937E--O1
`-142508E+01
`
`Fig. 13
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 18 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 18 of 20
`
`US 2011/027991.0 A1
`
`TABLE 9
`(Embodiment 5)
`f 1.18 mm, Fno s 2.04, HFOW - 30.5 deg.
`
`Surface #
`
`Curvature Radius Thickness Material
`
`Index
`
`Abbe it
`
`Focal
`length
`
`Plano
`
`Infinity
`
`--
`
`Plastic
`
`544
`
`Plastic
`
`1632
`
`21
`55.9
`--
`a -1.06
`
`Plastic
`
`544
`
`55.9
`
`OO
`
`Glass
`
`1517
`
`64.2
`
`-0.035
`0.344
`0.146
`0.179
`0.100
`0.3
`0.300
`
`0.200
`0.67
`
`re
`
`Object
`
`Stop
`Lens 1
`
`Lens 2
`
`LenS 3
`
`O
`
`2
`3
`4
`5
`6
`7
`
`Plano
`0.998.400 (Asp)
`-1.716740 (ASP)
`-0.804380 (ASP)
`4.291800 (ASP)
`0.407510 (ASP)
`1.178540 (ASP)
`
`s
`
`8 - IR-filter
`9
`
`10
`
`Image
`
`Plano
`Plano
`
`Plano
`
`Fig. 14
`
`TABLE 10
`Aspheric Coefficients
`6 -- 7
`4 -- 5
`3
`2
`Surface fi
`3.56862E--OOOOOOOE-00 -1.7689E-00 -100000E-00-5.014.4E-00 3.15665E-0
`k a
`-3.85.449E-01 - 169537E--00-8. 18018E-O1 -5.31366E-00 | 1.69466E--00 | 1.50807E--00
`A4 =
`6.4751 E--OO 2. 9269E--O
`2.0592E--01 5.5594E+OI -1. 1965E-0-9.09573E--00
`A6 =
`A8 = -2.21676E--02-393847E--02 -7.3452OE-01 - 189267E--O2 4.91 109E-01 171271 E--Ol
`A10= | 1.95698E+03 2.79890Eos -823359E-02 T-5.877sseto -1.37659E+02-181277E+01
`A12 = -1.30520E+02 || 4.87519E-03 7.15188E+03 2.83126E+03 1.5668 EH02 -8.39746E+00
`A14e -5.7893 1E-04-805166E--04 || 5, 183O8E-HO3 6.1204OE-03
`2.8034OE--O1
`A 16-
`168667E--05-5.26817E--O4
`6.99158E-00
`
`Fig. 15
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 19 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 19 of 20
`
`US 2011/027991.0 A1
`
`TABLE 11
`
`Embodiment 2 Embodiment 3
`
`LEmbodiment 4 DEmbodiment 5
`
`Embodiment 1
`-
`2.18
`
`2.48
`
`35.1
`
`32.5
`
`0.088
`
`1.35
`
`f
`
`Fno
`
`HFOW
`
`W1-W2
`
`N1-N2
`
`T2/T23
`
`1.11
`CT3/CT2
`- - -
`R1/R2
`O.33
`R3/R4
`-1.82
`
`R5/R6
`
`|ffl|Hff2|HElf3
`y"/Y
`
`y"/Y
`
`y"/Y
`
`Td/TTL
`
`S/T
`
`TTL/ImgH
`
`0.72
`
`2.85
`0.24
`
`0.83
`
`0.74
`
`0.95
`
`1.71
`
`1.11
`
`2.04
`
`32.
`
`O.O
`
`O.OOO
`
`0.83
`
`0.77
`
`0.21
`-0.24
`
`0.84
`
`130
`0.04
`
`0.70
`
`O.98
`
`2.38
`
`-
`
`T
`
`1.18
`
`2.04
`
`30.5
`
`32.5
`
`0.088
`
`1.46
`
`1.74
`
`0.58
`-0.9
`
`O.35
`
`3.27
`0.6
`
`0.62
`
`O,64
`---r-
`O.98
`-
`2.40
`
`1.99
`
`2.85
`
`37.5
`
`32.5
`
`0.088
`
`1.97
`
`1.27
`
`0.22
`-1.8
`
`0.68
`
`2.75
`O.21
`
`W
`
`2.41
`
`2.48
`
`32.6
`
`32.5
`
`0.088
`
`2.
`
`1.21
`
`0.40
`-0.05
`
`0.67
`
`3.05
`0.07
`
`0.75
`
`0.75
`---
`0.81
`
`1.59
`
`0.69
`-
`O.92
`
`-
`
`1.69
`
`Fig. 16
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 20 of 33
`
`

`

`Patent Application Publication
`
`Nov. 17, 2011 Sheet 20 of 20
`
`US 2011/027991.0 A1
`
`
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 21 of 33
`
`

`

`US 2011/027991.0 A1
`
`Nov. 17, 2011
`
`PHOTOGRAPHING OPTICAL LENS
`ASSEMBLY
`
`CROSS-REFERENCE TO RELATED
`APPLICATIONS
`0001. This non-provisional application claims priority
`under 35 U.S.C. S 119(a) on Patent Application No(s).
`0991 14919 filed in Taiwan, R.O.C. on May 11, 2010, the
`entire contents of which are hereby incorporated by refer
`CCC.
`
`BACKGROUND OF THE INVENTION
`0002 1. Field of the Invention
`0003. The present invention relates to a photographing
`optical lens assembly and more particularly, to a compact
`photographing optical lens assembly used in portable elec
`tronics.
`0004 2. Description of the Prior Art
`0005. In recent years, with the popularity of portable elec
`tronics, the demand for compact imaging lenses is increasing,
`and the sensor of a general photographing camera is none
`other than CCD (charge coupled device) or CMOS Sensor
`(Complementary Metal Oxide Semiconductor Sensor). Fur
`thermore, as advanced semiconductor manufacturing tech
`nology has allowed the pixel size of sensors to be reduced and
`electronic products have become more compact and power
`ful, there is an increasing demand for compact imaging lenses
`featuring better image quality.
`0006. A conventional compact photographing optical lens
`assembly, in order to reduce manufacturing costs, is usually
`composed of a two-lens structure, such as a two-lens imaging
`lens assembly disclosed by U.S. Pat. No. 7,525,741. How
`ever, two-lens structure has limited ability in correcting aber
`rations, which is unable to satisfy the demand of high level
`imaging modules. On the other hand, utilizing too many lens
`elements in the assembly will also be difficult for the total
`track length of the lens assembly to stay compact.
`0007 To obtain high image quality while maintaining the
`compact feature of the lens assembly, photographing optical
`lens assembly with three lens elements proves to be the solu
`tion. U.S. Pat. No. 7,564,635 discloses a photographing opti
`cal lens assembly with three lens elements. However, three
`lens elements of the lens assembly are all positive refractive
`lens elements, which make it difficult to correct the aberration
`(such as chromatic aberration) in the system and the image
`quality is compensated. Therefore, a need exists in the art for
`a photographing optical lens assembly that features high
`image quality without having a long total track length and
`applicable in portable electronic products.
`
`SUMMARY OF THE INVENTION
`0008. 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; a second lens
`element with negative refractive power having a concave
`object-side Surface and a concave image-side Surface, the
`object-side and image-side surfaces thereof being aspheric;
`and a third lens element having a concave image-side Surface,
`the object-side and image-side Surfaces thereof being
`aspheric, at least one inflection point formed on the image
`side surface; wherein there are three lens elements with
`refractive power, the distance on the optical axis between the
`
`first and the second lens elements is T12, the distance on the
`optical axis between the second and the third lens elements is
`T23, the thickness on the optical axis of the second lens
`element is CT2, the thickness on the optical axis of the third
`lens element is CT3, the radius of curvature on the object-side
`surface of the first lens element is R1, the radius of curvature
`on the image-side surface of the first lens element is R2, the
`radius of curvature on the object-side surface of the second
`lens element is R3, the radius of curvature on the image-side
`surface of the second lens element is R4, and they satisfy the
`relations:
`0.40<T12/T23<2.35:
`0.50<CT3/CT2<1.65;
`-2.00<R1/R2<0.50; -3.20<R3/R4<0.00.
`0009. 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 object-side Surface and a
`concave image-side Surface, the object-side and image-side
`Surfaces thereof being aspheric; and a third lens element
`having a concave image-side surface, the object-side and
`image-side Surfaces thereof being aspheric, at least one
`inflection point formed on the image-side surface; wherein
`the photographing optical lens assembly further provides an
`electronic sensor for image formation at an image plane;
`wherein there are three lens elements with refractive power,
`the distance on the optical axis between the first and the
`second lens elements is T12, the distance on the optical axis
`between the second and the third lens elements is T23, the
`focal length of the photographing optical lens assembly is f.
`the focal length of the first lens element is fl, the focal length
`of the second lens element is f2, the focal length of the third
`lens element is f3, the radius of curvature on the object-side
`surface of the second lens element is R3, the radius of curva
`ture on the image-side Surface of the second lens element is
`R4, the distance on the optical axis between the object-side
`Surface of the first lens element and the image-side Surface of
`the third lens element is Ta, the 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:
`0.40<T12/T23<2.70;
`1.10<|ffl|+|f/f2|+|f7f3|<3.30;
`-2.50<R3/R4<-0.12: 0.40<Td/TTL-0.78.
`0010. 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 having a concave
`image-side Surface, the object-side and image-side Surfaces
`thereof being aspheric, at least one inflection point formed on
`the image-side Surface, made of plastic materials; and a third
`lens element having a concave image-side Surface, the object
`side and image-side surfaces thereof being aspheric, at least
`one inflection point formed on the image-side Surface, made
`of plastic materials; wherein there are three lens elements
`with refractive power, the distance on the optical axis between
`the first and the second lens elements is T12, the distance on
`the optical axis between the second and the third lens ele
`ments is T23, the thickness on the optical axis of the second
`lens element is CT2, the thickness on the optical axis of the
`third lens element is CT3, the refractive index of the first lens
`element is N1, the refractive index of the second lens element
`is N2, the distance between the inflection point on the image
`side Surface of the second lens element and the optical axis is
`y", the distance between the effective radius position on the
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 22 of 33
`
`

`

`US 2011/027991.0 A1
`
`Nov. 17, 2011
`
`image-side Surface of the second lens element and the optical
`axis is Y, and they satisfy the relations: 0.40<T12/T23<2.35:
`0.50<CT3/CT2<1.65; IN1-N2|<0.15; 0.03<y"/Y<0.50.
`0011. The aforementioned arrangement of optical ele
`ments can effectively reduce the total track length of the lens
`assembly, attenuate the sensitivity of the optical system, and
`obtain higher resolution.
`0012. In the present photographing optical lens assembly,
`the first lens element with positive refractive power provides
`the refractive power of the system, which reduces the total
`track length of the photographing optical lens assembly; the
`second lens element has negative refractive power So as to
`favorably correct the aberration generated from the first lens
`element and the chromatic aberration of the system; the third
`lens element can have positive or negative refractive power,
`when the third lens element has positive refractive power, the
`refractive power of the first lens element can be effectively
`distributed to reduce the sensitivity of the system; when the
`third lens element has negative refractive power, the principal
`point of the optical system can be further away from the
`image plane to reduce the total track length of the system in
`order to stay compact.
`0013. In the present photographing optical lens assembly,
`the first lens element may be a bi-convex lens element or a
`meniscus lens element having a convex object-side Surface
`and a concave image-side Surface. When the first lens element
`is a bi-convex lens element, the refractive power thereof can
`be effectively enhanced, thus shortening the total track length
`of the photographing optical lens assembly. When the first
`lens element is a meniscus lens element, the astigmatism of
`the system can be corrected more favorably. The second lens
`element may have a concave image-side Surface so that the
`Petzval Sum of the system can be corrected more favorably,
`with a more even image around the image plane; furthermore,
`preferably, the second lens element is a bi-concave lens ele
`ment with both the object-side and the image-side surfaces
`being concave. The third lens element has a concave image
`side Surface, making the principal point of the optical system
`further away from the image plane, in order to effectively
`reduce the total track length of the system and keep the system
`compact. Moreover, preferably, the third lens element has a
`convex object-side Surface and a concave image-side Surface
`in order to correct both the astigmatism and the high order
`aberration of the system.
`0014. In the present photographing optical lens assembly,
`the stop can be disposed between an imaged object and the
`first lens element or between the first and the second lens
`elements. The first lens element provides positive refractive
`power, and the stop is disposed near the object side of the
`photographing optical lens assembly, thereby the total track
`length of the photographing optical lens assembly can be
`reduced effectively. 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 Solid-state sensor as it can
`improve the photosensitivity of the sensor to reduce the prob
`ability of shading occurrence. Moreover, the second or the
`third lens element is provided with at least one inflection
`point, thereby the angle of incidence from the off-axis field
`can be effectively reduced to further correct the off-axis aber
`rations. In addition, when the stop is positioned closer to the
`
`second lens element, the feature of the wide angle of view is
`emphasized which corrects the distortion and chromatic aber
`ration of magnification, and Such arrangement effectively
`reduces the sensitivity of the system. Thus, in the present
`photographing optical lens assembly, the stop is positioned
`between the imaged object and the second lens element, in
`order to obtain a good balance between the telecentric feature
`and the wide angle of view in the photographing optical lens
`assembly. When the stop is disposed between the imaged
`object and the first lens element, the telecentric feature is
`emphasized and this enables a shorter total track length.
`
`BRIEF DESCRIPTION OF THE DRAWINGS
`0015 FIG. 1A shows a photographing optical lens assem
`bly in accordance with a first embodiment of the present
`invention.
`0016 FIG. 1B shows the aberration curves of the first
`embodiment of the present invention.
`0017 FIG. 2A shows a photographing optical lens assem
`bly in accordance with a second embodiment of the present
`invention.
`0018 FIG. 2B shows the aberration curves of the second
`embodiment of the present invention.
`0019 FIG. 3A shows a photographing optical lens assem
`bly in accordance with a third embodiment of the present
`invention.
`0020 FIG. 3B shows the aberration curves of the third
`embodiment of the present invention.
`0021
`FIG. 4A shows a photographing optical lens assem
`bly in accordance with a fourth embodiment of the present
`invention.
`0022 FIG. 4B shows the aberration curves of the fourth
`embodiment of the present invention.
`0023 FIG. 5A shows a photographing optical lens assem
`bly in accordance with a fifth embodiment of the present
`invention.
`0024 FIG. 5B shows the aberration curves of the fifth
`embodiment of the present invention.
`(0025 FIG. 6 is TABLE 1 which lists the optical data of the
`first embodiment.
`0026 FIGS. 7A and 7B are TABLE 2A and TABLE 2B
`which list the aspheric surface data of the first embodiment.
`(0027 FIG. 8 is TABLE 3 which lists the optical data of the
`second embodiment.
`0028 FIGS. 9A and 9B are TABLES 4A and 4B which list
`the aspheric Surface data of the second embodiment.
`(0029 FIG. 10 is TABLE 5 which lists the optical data of
`the third embodiment.
`0030 FIGS. 11A and 11B are TABLES 6A and 6B which
`list the aspheric surface data of the third embodiment.
`0031 FIG. 12 is TABLE 7 which lists the optical data of
`the fourth embodiment.
`0032 FIG. 13 is TABLE 8which lists the aspheric surface
`data of the fourth embodiment.
`0033 FIG. 14 is TABLE 9 which lists the optical data of
`the fifth embodiment.
`0034 FIG. 15 is TABLES 10 which lists the aspheric
`surface data of the fifth embodiment.
`0035 FIG. 16 is TABLE 11 which lists the data of the
`respective embodiments resulting from the equations.
`0036 FIG. 17 shows a magnified view of the second lens
`element in accordance with a first embodiment of the present
`
`Apple v. Corephotonics
`IPR2019-00030
`Exhibit 2009 Page 23 of 33
`
`

`

`US 2011/027991.0 A1
`
`Nov. 17, 2011
`
`invention, to further display the distance represented by y"
`and Y, and their corresponding locations.
`
`DETAILED DESCRIPTION OF THE PREFERRED
`EMBODIMENTS
`0037. 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; a second lens
`element with negative refractive power having a concave
`object-side Surface and a concave image-side Surface, the
`object-side and image-side surfaces thereof being aspheric;
`and a third lens element having a concave image-side Surface,
`the object-side and image-side Surfaces thereof being
`aspheric, at least one inflection point formed on the image
`side surface; wherein there are three lens elements with
`refractive power; and wherein the distance on the optical axis
`between the first and the second lens elements is T12, the
`distance on the optical axis between the second and the third
`lens elements is T23, the thickness on the optical axis of the
`second lens element is CT2, the thickness on the optical axis
`of the third lens element is CT3, the radius of curvature on the
`object-side surface of the first lens elementis R1, the radius of
`curvature on the image-side Surface of the first lens element is
`R2, the radius of curvature on the object-side surface of the
`second lens element is R3, the radius of curvature on the
`image-side surface of the second lens element is R4, and they
`satisfy the relations: 0.40<T12/T23<2.35: 0.50<CT3/
`CT2<1.65; -2.00<R1/R2<0.50; -3.20<R3/R4<0.00.
`0038. When the aforementioned photographing optical
`lens assembly satisfies the relation of 0.40<T12/T23<2.35,
`the spacing between lens elements of the lens assembly will
`be appropriate, favorable for lens assembly process, and more
`efficient use of space, in order to keep the lens assembly
`compact. When the aforementioned photographing optical
`lens assembly satisfies the relation: 0.50<CT3/CT2<1.65, the
`thickness of the second and the third lens elements are more
`desirable within a limited space in the lens assembly, which
`obtains a good balance between the shortening of the total
`track length and the correction of the aberration. Also, appro
`priate lens thickness contributes to the ease of lens manufac
`turing and injection molding processes, and a photographing
`optical lens assembly with consistent good image quality can
`be achieved. When the aforementioned photographing opti
`cal lens assembly satisfies the relation: -2.00<R1/R2<0.50,
`the spherical aberration of the system can be favorably cor
`rected; preferably, also satisfies the relation: -0.65-R1/
`R2<0.45. When the aforementioned photographing optical
`lens assembly satisfies the relation: -3.20<R3/R4<0.00, the
`Petzval Sum of the system can be corrected more favorably,
`with a more even image around the image plane and improved
`image quality of the system. Preferably, it satisfies the rela
`tion: -2.50<R3/R4<-0.12.
`0039. In the aforementioned photographing optical lens
`assembly of the present invention, preferably, the third lens
`element has a convex object-side surface which can correct
`the astigmatism of the system and high order aberration.
`Preferably, the second and the third lens elements are made of
`plastic materials, which can effectively reduce the weight of
`the lens assembly and lower the production costs.
`0040. In the aforementioned photographing optical lens
`assembly of the present invention, the second lens element
`has at least one inflection point on its image-side Surface. The
`distance between the inflection point on the image-side Sur
`
`face of the second lens element and the optical axis isy", and
`the distance between the effective radius position on the
`image-side surface of the second lens element and the optical
`axis is Y. and preferably, they satisfy the relation: 0.03-y"/
`Y<0.50. When y"/Y satisfies the aforementioned relation,
`aberration of on-axis and off-axis fields of the system can be
`effectively corrected.
`0041. In the aforementioned photographing optical lens
`assembly of the present invention, preferably, the photo
`graphing optical lens assembly further provides a stop and an
`electronic sensor for image formation. The stop is disposed
`between the imaged object and the second lens element, and
`the electronic sensor is disposed at the image plane; wherein
`the distance on the optical axis between the stop and the
`electronic sensor is SL, the distance on the optical axis
`between the object-side surface of the first lens element and
`the electronic sensor is TTL, and preferably, they satisfy the
`relation: 0.70<SL/TTL-1.20. When SL/TTL satisfies the
`aforementioned relation, the photographing optical lens
`assembly can favorably obtain good balance between the
`telecentric feature and the wide angle of view; furthermore,
`preferably, the stop is disposed between the imaged object
`and the first lens element satisfies the relation: 0.87<SL/
`TTL-1.10. When SL/TTL satisfies the aforementioned rela
`tion, the telecentric feature is emphasized, and the total track
`length of the optical lens assembly can be reduced.
`0042. In the aforementioned photographing op