US005861999A
`5,861,999
`[11] Patent Number:
`United States Patent 15
`
`Tada
`[45] Date of Patent:
`gan. 19, 1999
`
`[54] SUPER WIDE ANGEL LENS SYSTEM USING
`AN ASPHERICAL LENS
`
`[75]
`
`Inventor: Eijiroh Tada, Tokyo, Japan
`
`[73] Assignee: Asahi Seimitsu Kabushiki Kaisha,
`Tokyo, Japan
`
`[21] Appl. No.: 915,603
`
`[22]
`
`Filed:
`
`Aug. 21, 1997
`
`Foreign Application Priority Data
`[30]
`
`
`vee 8222394
`Aug. 23,1996
`[JP]
`Japan wesc
`«. 9-201903
`Jul. 28,1997
`[JP]
`Japan cesses
`[ST]
`Inte CLS cssesseunenen G02B 13/04; G02B 13/18
`[52] U.S. CI. cence 359/752; 359/713; 359/753
`
`[58] Field of Search oe eseeseeee 359/749, 750,
`359/751, 752, 753, 708, 713
`
`[56]
`
`References Cited
`U.S. PATENT DOCUMENTS
`
`3,856,385 12/1974 ‘Vakahashi oo...eee 359/751
`8/1990 Igarashi ...
`. 359/708
`4,952,040
`
`9/1990 Sato .......
`. 359/749
`4,957,355
`
`5,477,388 12/1995 Ishiyamaet al...ececesceeeee 359/751
`
`Primary Examiner—Scott J. Sugarman
`Attorney, Agent, or Firm—Greenblum & Bernstein, P.L.C.
`
`[57]
`
`ABSTRACT
`
`A retrofocus type super wide angle lens system includes a
`front lens group of negative power and a rear lens group of
`positive power, arranged in this order from the abject side.
`The front lens group consists of a negalive meniscus first
`lens element with a convex surface facing the object side and
`a second lens element having at least one aspherical surface,
`arranged in this order from the object side. The aspherical
`second lens elementis shaped such that it forms a biconcave
`lens in the vicinity of the optical axis and forms a negative
`meniscus lens with a convex surface located on the object
`side at a peripheral portion thereof.
`
`
`
`3,506,339=4/1970 Kazamaki oc eeessercereeeeee 359/751 10 Claims, 9 Drawing Sheets
`
`10
`a 20
`11
`12 Co
`ri\ 2 63
`4
`or
`£6
`78 9 10 r11
`«112 113 114
`5 22
`23
`24}
`25
`
`/ py| 7 {
`Ye Th con d14
`
`C
`
`di
`
`d2
`
`d3
`
`d4
`
`d5
`
`d6 d7
`
`d8 d9d10d11 d12 d13
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 1 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 1 of 9
`
`5,861,999
`
`FIG. 1
`
`
`
`10
`
`
`44.a4 9 20DNeS
`rm| 2 63
`r4
`rb
`«6
`78 9 101711.
`112 113 114
`5 22
`23
`24}
`25
`C
`r5
`a1
`|7 AINE
`\ TTT AA
`
`\
`
`di
`
`d2
`
`d3
`
`d4
`
`d5
`
`d6 d7
`
`d8 d9d10d11 d12 d13
`
`FIG. 2
`
`FIG. 3
`
`
`
`02
`-02
`SPHERICAL
`ABERRATION
`
`02
`-02
`ASTIGMATISM
`
`FIG. 4
`
`3
`
`-30 (%) 30
`DISTORTION
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 2 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 2 of 9
`
`5,861,999
`
`FIG. 5A
`
`Y= 0.00
`
`d LINE
`
`Y= 0.63
`g LINE--2z_
`
`+0.02
`
`FIG. 5B
`_ -¢ LINE
`
`
`
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 3 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 3 of 9
`
`5,861,999
`
`20
`10
`(yAaNDTTODN
`12 3
`r4
`r5 6
`78 9 10 111
`112
`113 rt4
`11
`23
`24}
`25
`C
`N
`
`12
`
`21
`
`22
`
`S(! TNC
`9) MA
`
`d4 5
`
`d6
`
`d7d8d9 d10d11 d12 d13
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`d14
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`FIG. 9
`
`58.4
`
`FIG. 8
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`S
`
`58.4
`|
`!
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`|M
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`| | | |
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`M~
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`\
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`\
`\
`\
`\
`\
`\
`\
`
`-02
`02
`ASTIGMATISM
`
`-30 (%) 30
`DISTORTION
`
`NTS)
`
`did2
`
`43
`
`Y
`
`.02
`-02
`SPHERICAL
`ABERRATION
`
`CHROMATIC
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 4 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 4 of 9
`
`5,861,999
`
`FIG. 10A
`
`Y= 0,00
`
`g LINE---=2
`
`
`
`+0.02
`
`¢ LINE
`
`
`
`d LINE
`
`FIG. 10B
`
`Y= 0.65
`g LINE---=,
`
`+0.02
`c LINE
`
`
`
`qd LINE
`
`FIG. 10C
`y= 0.865 HINE
`4902
`g LINE----,
`
`
`
`FIG. 10D
`
`Y= 1,08 ¢LINE 49.92
`
`
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 5 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 5 of 9
`
`5,861,999
`
`FIG. 11
`
`20
`10
`|;aa
`rt
`or 3
`r4
`r5 16
`78 9 10 11s
`r12 113 114
`
`
`
`
`
`
`
`
`
`
`
`11 24|2512 21 S 2 23 C
`
`T
`r15
`NTS) TA
`WT
`i
`
`did2
`
`4d
`
`d4
`
`d5
`
`d6
`
`d7d8d9 d10d11d12 d13
`
`d14
`
`FIG. 14
`
`98.5
`
`FIG. 13
`
`58.5
`
`-30 (%) 30
`
`-02=.02 -02 02
`
`SPHERICAL
`ASTIGMATISM
`DISTORTION
`ABERRATION
`
`CHROMATIC
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 6 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 6 of 9
`
`5,861,999
`
`Y= 0.00
`d LINE
`
`FIG. 15A
`on: LINE
` g LINE
`
`FIG. 15B
`
`Y= 065 ¢ LINE +
`0.02
`
`g LINE ~~,
`
`
`FIG. 15C
`v= 0,87 TUNE Jo09
`
`g LINE ~~,
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 7 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 7 of 9
`
`5,861,999
`
`FIG. 16
`
`10
`
`20
`
`r 23 do 6 v8 rOrtO 14
`112 £13 r14
`
`
`
`
`
`
`{ 24|2512 1] 22 23 C
`
`NE
`(TV APAT
`NTS PT MARS.
`
`d1 d2
`
`d3
`
`d4
`
`d5
`
`d6 d7 d8 d9 d10d11 d12 d13
`
`FIG. 17
`
`1.25
`
`d LINE
`
`FIG. 18
`
`
`
`~ c LINE
`
`g LINE,
`
`|
`
`02
`-02
`SPHERICAL
`ABERRATION
`
`02
`-02
`ASTIGMATISM
`
`FIG. 19
`
`58.2
`
`-30 (%) 30
`DISTORTION
`
`CHROMATIC
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 8 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 8 of 9
`
`5,861,999
`
`FIG. 20A
`Y= 0.00
`
`+0.02 ¢ LINE
`
`FIG. 20B
`
`y= 0,63°K!NE 49.09
`
`
`
`FIG. 20C
`Y= 0.84 g LINE +0.02 ¢ LINE
`Se
`/
`
`
`FIG. 20D
`Y= 1.05
`
`‘, g LINE
`
`¢ LINE SSS
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 9 of 17
`
`

`

`U.S. Patent
`
`Jan. 19, 1999
`
`Sheet 9 of 9
`
`5,861,999
`
`l¢Sls
`
`WO
`
`OVA
`
`WOIldsHdSTVAOVANNS
`
`TWOIWAHdSY¥
`
`AOVAYNS
`
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`TWOIlYSHdSTWIxvavduoWOIMSHdSWIxVavd
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`
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`
`SIXVWOlL\dO—-—-—7—-—-—-—-—-—-—-—--—--—-—
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 10 of 17
`
`
`

`

`BACKGROUND OF THE INVENTION
`°
`.
`.
`1. Field of the Invention
`The present invention relates fo asuper wide angle |ens
`system which canbe used for a monitoring camera (CCI'V)
`ete.
`. .
`2. Description of the Related Art
`In general, a super wide angle lens system is used as the
`:
`.
`:
`lens system in a monitoring camera or the like, to view or
`monitor a wide angle range. In order to increase the back
`focal distance and widenthe angle of view, a retrofocus type
`of super wide anglc Icns having a negative front lens group 15
`2.0x10-*SAg/f7S1.0x10-7
`and a
`positive
`rez
`.
`ae
`such
`:
`Pocus
`posilive rear lens group is used. In such a retrofocus
`:
`type, the angle of vicw can be widencd by increasing the
`_ wherein
`.
`.
`:
`:
`negative power of the front
`lens group. To this end, a
`R
`4 represents a radius of curvature of the paraxial spheri-
`:
`.
`plurality of negative lens elements of the rear lens group
`cal surface of the aspherical surface of the second lens
`share the negative power. Generally, the negative lens ele- 20 element
`ments consist of a negative meniscus first lens element with
`A ;
`:
`factor of the
`°
`:
`:
`.
`4 Yepresents a fourth-order aspherical
`a convex surface facing the object side and a negative
`:
`ot
`aspherical surface of the second lens element,
`.
`second lens element. The meniscus lens can advantageously
`A
`:
`.
`:
`°
`,
`« fepresent a sixth-order aspherical factor of the aspheri-
`reduce, due to the shape thereof,
`the astigmatism and
`:
`?
`:
`.
`.
`25 cal surface of the second lens element,
`.
`pe
`oy
`distortion of a bundle of light chiefly at a large angle of view.
`2
`.
`:
`:
`:
`:
`Ag represents a eighth-order aspherical factor of the
`It is mainly for this reason that the meniscus lens has been
`:
`.
`ee
`aspherical surface of the second lens element,
`used as the negative first lens elementof the front lens group.
`°
`-
`.
`:
`:
`f represents a focal length of the whole lens system.
`__
`In asuper wide angle lens system having an angle of view
`The aspherical second lens element can be madeentirely
`in the range of 120° to 140° and in whichthe front lens group ag ola plastic mold, or can be made of a hybrid lens having a
`consists of a negative meniscus first lens element and a “spherical glass lens to which an aspherical plastic layeris
`negative second lens element, the radius of curvature of a
`adhered.
`second concave surface (surface on the image side) of the
`Therear lens group can be made of various combinations
`negative meniscus first lens element is reduced (i.e.,
`the
`of lenses. For instance, the rear lens group can consist of a
`depth of the concave surface is incrcascd). However, this 35 Positive single lens element, a diaphragm, and two pairs of
`makes it very difficult to produce the meniscus lens. If the“”gemented lenses, each respectively having a positive lens
`negative power of the second lens elementis increased, the
`element and a negative lens element cemented thereto,
`negative power of the first
`lens element
`is reduced.
`arranged in this order from the object side. With this
`Consequently, the radius of curvature of the second surface
`arrangement, not only can the divergent light emitted from
`of thefirst lens elementis increased. However,if the second 4g the front lens group be effectively received bythe rear lens
`lens element is made of a biconcave lens to increase the
`group, but also longitudinal chromatic aberration and chro-
`negative power, an under curvature offield occurs. In order
`matic aberration of magnification can bc compensated for by
`to solve this problem, upon design, consideration must be
`a simple structure.
`given to balance the negative power betweenthe first lens
`Therear Icns group can consist of a positive single third
`element and the second lens element.
`lens element, a diaphragm,a first cemented lens assembly
`having a negative fourth lens element and a positive fifth
`SUMMARYOF THE INVENTION
`lens element cemented thereto, and a second cemented lens
`is an object of the present
`invention to provide a
`assembly having a negative sixth lens element and a positive
`It
`retrolocus type super wide angle lens system in which an
`seventh lens element cemented thereto, arranged in this
`angle of view of approximately 120° to 140° and an so order from the object side. The rear lens group preferably
`F-number of approximately 1.2 to 1.4 can be obtained
`—_Satisfies the following conditions:
`without
`increasing the radius of curvature of a second
`_ .
`:
`:
`2,50ERefS3.10
`surface of a negative meniscusfirst lens element.
`To achieve the object mentioned above, according to the
`present invention, there is provided a retrofocus type super 55
`wide angle Icns system having a front Icns group of negative
`power and a rear lens group of posilive power, arranged in
`this order from the object side. The front lens group consists
`of a negative meniscus first lens element with a convex
`surface facing the object side and a second lens element
`having at least one aspherical surface, arranged in this order
`from the object side. The aspherical second lens element is
`shaped such that the second lens element forms a biconcave
`Jens in the vicinity of the optical axis (for a bundle of rays
`at a small angle of view) and forms a negative meniscus lens 65
`with a convex surface facing the object side at the peripheral
`portion thereof (for a bundleof rays at a large angle of view).
`
`wherein
`Rg represents a radius of curvature of the surface on the
`image side of the fourth lens element,
`R,, represents a radius of curvature of the surface on the
`image side of the sixth lens element,
`f.9 represents a resultant focal length of the fourth and
`fifth lens elements,
`f49-42 represents a resultant focal length of the sixth and
`seventh lens elements.
`
`~LER,/fS-6
`2.
`SAJPS1.
`2.010254. ff? <1. 0x10
`*
`-3.0x10 *SA,/fPS-2.0x10 *
`
`4s
`
`6o
`
`2.35ER, /fE2.55
`.
`HSf;o
`45ty985
`
`1
`SUPER WIDE ANGEL LENS SYSTEM USING
`AN ASPHERICAL LENS
`
`5,861,999
`
`2
`The boundary portion between the biconcave lens portion
`of the aspherical second lens element in the vicinity of the
`optical axis and the peripheral negative meniscus lens por-
`tion thereof is, for example, located substantially on the
`peripheral
`portion of the axial bundle defined by the
`eeantser P
`y
`Preferably, the surface of the second lens element located
`on the object side is made of an aspherical surface and
`preferably satisfies the following conditions:
`
`5
`
`10
`
`cb)
`(2)
`(3)
`
`(4)
`
`.
`(5)
`
`(6)
`
`i)
`(4)
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 11 of 17
`
`

`

`5,861,999
`
`
`
`60
`
`1
`
`4
`FIG. 20 shows coma diagrams of the super wide angle
`lens system shown in IG. 16 at each angle of view; and
`FIG. 21 showsa definition of the aspherical amount,etc.,
`of an aspherical lens.
`
`3
`In an embodimentof the present invention, the third lens
`element is made of a positive meniscus lens with a convex
`surface on the image side, the fourth lens element is made
`of a negative lens with a concave surface on the image side,
`the fifth lens elementis made ofa positive biconvex lens, the 5
`DESCRIPTION OF THE PREFERRED
`sixth lens element is made of a negative meniscuslens with
`EMBODIMINTS
`a convex surface on the object side, and the seventh lens
`In a retrofocus type of super wide angle lens system
`elementis made of a positive biconvex lens.
`;
`according to the present invention, the negative first lens
`__
`Thepresent disclosurerelates to subject matter contained
`io Japanese Patent Application Nos. 08-222394 (filed 0 10 group consists of a negative meniscus first lens element
`Aug. 23, 1996) and 09-201903(filed on Jul. 28, 1997) which
`having a convex surface facing the object side and a second
`are expressly incorporated herein by reference in their
`jens element havingat least one aspherical surface, arranged
`entirctics.
`in this order from the object side. The shape of the aspherical
`second lens elementis suchthat it serves as a biconcave lens
`BRIEF DESCRIPTION OF THE DRAWINGS
`15 in the vicinity of the optical axis (for a bundle of lipht at a
`The invention will be described below in detail with
`small angle of vicw) and serves as a negative meniscus lens
`reference to the accompanying drawings, in which:
`whose convex surface is located on the object side at the
`FIG. 1 is a schematic view showing the lens arrangement
`peripheral portion thercof (for a bundle oflight at a large
`of a first embodiment of a super wide angle lens system,
`,,, angle of view).
`.
`.
`according to the present invention;
`.
`Namely,
`the aspherical second lens element basically
`FIG. 2 shows diagrams of chromatic aberrations repre-
`functions as a biconcave as having a nin PSleme fo
`sented byspherical aberrations, in the super wide angle lens
`reduce the negative powerof the meniscusfirst lens element.
`system shownin FIG. 1;
`However, if the negative power of the biconcave lens is
`vo,
`.
`.
`inercascd, an under curvature of ficld occurs. To solve this
`tkS 3 shows astigmatismdiagrams of the super wide 25 problem, the aspherical second lens element forms at the
`angic tens system s own m _™
`.
`peripheral portion thercof, a negative meniscus lens having
`FIG. 4 shows distortion diagramsof the super wide angle
`its convex surface located on the object side. If the aspheri-
`lens system shown in FIG.1,
`cal second lens element is made of a biaspherical lens, the
`FIG. 5 shows coma diagramsof the super wide angle lens 20 aberrations can be easily compensated.
`system shown in T'IG. 1 at each angle of view;
`.
`It is preferable that the boundary portion between the
`FIG.6 is a schematic view showing the lens arrangement
`biconcave surface portion of the aspherical second lens
`of a second embodiment of a super wide angle lens system,
`element in the vicinity of the optical axis and the peripheral
`according to the present invention;
`negative meniscus lens portion is located substantially on
`TIG. 7 shows diagrams of chromatic aberrations repre- 35 the peripheral portion of the axial bundle, determined by the
`sented byspherical aberrations, in the super wide angle lens
`P-number. If the central biconcave portion is smaller than
`system shownin I'IG. 6;
`the diameterof the peripheral portion ofthe axial bundle, the
`.
`;
`FIG. 8s ee oo
`longitudinal spherical aberration and the chromatic aberra-
`
`.8shows astigmatism diagrams of the super wide ti 4 ly infl 4 and th herical aberrati
`
`
`
`
`
`
`
`angle lens system shown in FIG. 6;
`ion are adversely influenced
`and
`the aspherical aberration
`.
`.
`.
`.
`4g factor at the low-order term becomeslarge. Consequently,
`1 FIG. 4 shows distortiondiagrams of the super wide angle
`the change in the sag amountof the aspherical surface shown
`ens system shown mn BN.
`&:
`in FIG. 21 is too large to obtain the surface shape most
`FIG. 10 shows coma diagrams of the super wide angle
`appropriate to correct the off-axis aberrations. If the central
`lens system shown in I'IG. 6 at each angle of view;
`biconcaveportion is larger than the diameter of the periph-
`FIG.11is a schematic view showing the lens arrangement ,, eral portion of the axial bundle, the effective area of the
`
`
`negative meniscus lens element is reduced. Consequently,
`of a third embodiment of a super wide angle lens system,
`
`no effective aberration correction occurs.
`according to the present invention;
`TIG. 12 shows diagrams of chromatic aberrations repre-
`Conditions (1) through (4) specily the conditions on the
`sented byspherical aberrations, in the super wide angle lens
`aspherical surface (third surface) of the second lens element
`system shown in FIG. 11;
`sy On the object side. Condition (1) specifies the radius of
`FIG. 13 shows astigmatism diagrams of the super wide
`curvature of the paraxial spherical surface of the third
`angle lens system shown in FIG. 11;
`Surface of thesecond lens elementand the focal length ofthe
`FIG. 14 showsdistortion diagramsofthe super wide angle
`w tt a_ ee .
`dition
`(1) i
`tler
`than
`tt
`lens system shown in T'IG. 11;
`he ratio
`defined
`in condition (1)
`is smaller
`than
`the
`FIG. 15 shows comadiagrams of the super wide angle >°
`lower limit, the radius of curvature is large and it becomes
`oe
`:
`diflicull to obtain sufficient back [ocal distance with respect
`ens system shown in FIG.11 at each angle of view;
`to the focal length. If the ratio exceeds the upper limit,
`the
`.
`1
`4
`gth.
`>
`JIG. 16 is a schematic VIEW showing the lensarrangement
`radius of curvature is too small
`to correct
`the off-axis
`of a fourth embodiment of a super wide angle lens system,
`aberrations by the aspherical surface.
`according to the present invention;
`Condition (2) specifies the condition on the fourth-order
`FIG. 17 shows diagrams of chromatic aberrations repre-
`aspherical factor of the aspherical surface. If the ratio
`sented by spherical aberrations, in the super wide angle lens
`gefined in condition (2) is smaller than the lowerlimit, the
`
`
`astigmatism can notbe sufficiently compensated.If the ratio
`systemshownin F IG. 16, ;
`;
`;
`defined in condition (2) exceeds the upper limit, the sag
`FIG. 18 shows asligmatism diagramsof the super wide
`angle lens system shownin I'IG. 16,
`65 amount from the spherical (third) surface with respectto the
`FIG. 19 showsdistortion diagramsof the super wide angle
`F-numberof the optical system (axial bundle) is so large that
`lens system shown in FIG. 16;
`the spherical aberration is adversely influenced.
`
`
`
`
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 12 of 17
`
`

`

`5,861,999
`
`5
`Consequently, a reduced performance of the center portion
`of the lens occurs.
`
`Conditions (3) and (4) specify the condition on the
`sixth-order and eighth-order aspherical
`factors of the
`aspherical surface, respectively. If condition (3) or
`(4)
`is not
`
`5
`
`6
`
`<Embodiment 1>
`FIG. 1 showsa first embodiment of a super wide angle
`lens system according to the present
`invention.
`In this
`embodiment, the lens system consists of a front lens group
`10 and a rear lens group 20, in this order from the objectside
`.
`g
`5
`
`(the left side as viewed in PIG. 1). The front lens group10
`the astigmatism increases towardihe ocripheral
`satisfied,
`lens element 11 made of a negative
`consists of a first
`oe
`:
`meniscuslens having a convex surface onthe object side and
`portion of the lens when the angle of viewis large.
`—_q second lens element 12 madeofa biaspherical lens which
`Conditions (5) through (8) specify the conditions on the
`forms a biconcave lens at the center portion thereof and
`second lens group. Conditions (5) and (6) specify the radius
`of curvature of the surface (8-th surface) of the fourth lens 10 forms a negative meniscus lens having a convex surface at
`element on the image side, the radius of curvature of the
`the peripheral portion thereof. The first lens element 11 and
`surface (11-th surface) of the sixth lens element on the image
`the second lens element 12 are arranged in this order from
`side, and the focal length of the whole lens system.
`the objectside.
`Conditions (7) and (8) specify the ratio of the resultant
`The rear lens group 20 consists ofa third lens element 21
`focal length of the fourth and fifth lens elements and the
`made ofa positive meniscuslens having a convex surface on
`focal length of the whole lens system, and the ratio of the
`the imageside, a first cemented lens assembly and a second
`resultant focal length of the sixth and seventh lens elements
`cemented lens assembly. The first cemented lens assembly
`and the focal length of the whole lens system, respectively.
`comprises a fourth lens element 22 of a biconcave lens and
`If the ratio defined in condition (7) or(8) is larger than the 5, 4 fifth lens clement 23 of a biconvex lens cemented thereto.
`upper limit, the focal length of the whole optical system is
`The second cemented lens assembly COMIPTISUS a sixth lens
`increascd so that the angle of view for the same picture size
`element 24 of a negative meniscus lens having a convex
`cao be reduced.If the ratio defined in the condition (7) or (8)
`surface on the object side and a seventh lens element 25 of
`is smallcr than the lowerlimit, it becomesdifficult to obtain
`a biconvex lens cemented thereto. These lens elements are
`sufficient back focal distance with respect to the focal length. 5 arrangedjnthisficerFromtheobjectside.dlens element
`lf conditions (7) and (8) are satisfied, but condition (6) is
`21 and the fourth Tens element 22. “C” designates a glass
`not satislied, the Spherical aberration and the longitudinal
`cover of the CCD.
`chromatic aberration are cnhanccd. Thus, the optical perfor-
`Numerical data regarding the super wide angle lens
`mane’ of the central portion of the image surlace 1s dete-
`system shown in FIG. 1 is shown in ‘Table 1 below. ‘lhe
`riorated. If an attemptis made to correct these aberrations by 30 surface Nos. 13 and 14 correspondto the surfaces of the
`other lens surfaces, off-axis aberration can not be sufficiently
`glass cover C. The surface No.15 refers to the image pickup
`corrected.
`surface of the CCD.
`If the ratio defined in condition (6) is smaller than the
`FIGS.2 through 5 show aberration diagrams of the lens
`lowerlimit, an over correction of the chromatic aberration of
`system shown in FIG. 1.
`magnification occurs, andthe off-axis optical performance is 35
`deteriorated. If the ratio defined in condition (6) is larger
`than the upper limit, it is difficult to correct the spherical
`aberrations while satisfying condition (5).
`Numerical examples of a super wide angle lens system of
`the present invention will be discussed below with reference 40
`to the attached drawings and the following tables.
`In the following tables and diagramsthe d-line, g-line and
`C-line represent the chromatic aberrations represented by
`spherical aberrations at the respective wavelengths, S des-
`ignates the Sagittal rays, M designates the Meridional rays,
`FNo designates the F-number, f designates the focal length,
`W designates the half angle of view, fB designates the back
`focal distance, R designates the radius of curvature, D
`designates the distance between the lens surfaces, Nd des- ,,
`ignates the refractive index of the d-line, and vd designates
`the Abbe numberof the d-line. The back focal distance refers
`to the reduced distance [B between surface No. 12 and No.
`15.
`The rotation symmetrical aspherical surface can be gen- 55
`erally expressed as follows:
`x=Ch?/f14[1-(14K)C7R7]"}4Aan4A ORPLABHES
`
`49.6
`1.77250
`oera
`eon
`5
`574
`4.49176
`1560
`7906
`3
`_—
`_—
`2.204
`3.887
`4*
`23.8
`1.84666
`1.436
`-15.840)
`5
`_
`_
`0.574
`3.450
`6
`_
`338
`188866
`ony
`-99.990
`Caphragm
`64.1
`1.51633
`2.165
`2.549
`8
`_—
`_—
`0.035
`-3.963
`9
`23.8
`1.84666
`0.317
`4.186
`10
`—
`—
`0.000
`-8.712
`12
`49.6
`1.77250
`1.760
`2.400
`dt
`64.1
`1.51633
`0.422
`«
`13
`_
`_
`2.423
`“
`is
`_—_—ewv——erwFSFF
`*designates an aspherical surface with rotation symmetry around the optical
`axis,
`wherein, h represents a height above the axis,
`:
`Aspherical Data:
`:
`x representsa distance from a tangent plane of an aspheri- 60 No.3; K = 0,00, Ad = 0.41500 x 10-4, AG = -0.72169 x 10-2,A8 = 0.10529
`cal vertex,
`x 10-2, A10 = 0.70513 x 10+
`C represents a curvature of the aspherical vertex (1/1),
`No.4:K= 0.00,Ad= 0.78424x 10™*, AG = -0.13731 x 10%, A8 = 0.11514
`K represents a conic constant,
`% 10, Al0 = 0.22907 x 10
`Adérepresents a fourth-order aspherical factor,
`‘The aspherical surface No. 3 of the second lens element
`A6 represents a sixth-order aspherical factor,
`65 12 makcsit possible to serve as a biconcavelens at the center
`A8 represents an eighth-order aspherical factor,
`portion thereof and as a negative meniscus lens having a
`ALO represents a tenth-order aspherical factor.
`convex surface on the object side at the peripheral portion
`
`is
`
`TABLE 1
`
`ENO = 1:1.3
`Weceo
`EB = 2.70 (=0.422/1.51633 + 2.423)
`
`Suiface
`-
`
`R
`
`D
`
`xa
`
`vd
`
`|.
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 13 of 17
`
`

`

`5,861,999
`
`7
`thereof. The shape, paraxial spherical amountand aspherical
`amount (amountof spherical deviation) of surface No. 3 are
`shown in Table 2 below. The definition of the aspherical
`amount, elc., can be seen in FIG. 21.
`
`TABLE 2
`
`Distance from
`optical axis
`0.00000
`0,10000
`0.20000
`0.30000
`0.40000
`0.50000
`0.60000
`0.70000
`0.80000
`0.90000
`1.00000
`1.10000
`1.20000
`1.30000
`1.40000
`1.50000
`1.60000
`1.70000
`1.80000
`1.90000
`2,00000
`2.10000
`2.20000
`
`Surface figure
`0.000000
`-0,.000681
`-0.002676
`—0.005839
`-0.009940
`-(0.014668
`-0.019654
`-0.024484
`—0.028717
`-0,.031901
`-0.033590
`—0,033349
`-0.030765
`-0.025440
`—0.016994
`-0.005050
`0.010765
`0.030831
`0.055518
`0.085160
`0.119985
`0.160005
`0.204833
`
`Paraxial
`spherical amount
`0.000000
`-0.000685
`-0.002742
`—0,006170
`-0,.010973
`-0.017153
`—0,024713
`-0.033658
`—0,043992
`-0.055723
`—0.068856
`—0,083399
`-0.099361
`0.116751
`—0.135580
`-0.155859
`-U.177600
`-0.200817
`-0.225525
`-0.251739
`-0.279476
`-0.308753
`—0,339592
`
`Aspherical
`amount
`0.000000
`0.000004
`0.000066
`0.000331
`0.001034
`0.002485
`0.005059
`0.009174
`0.015276
`0.023822
`0.035266
`0.050049
`0.068596
`0.091311
`0.118586
`0.150809
`0.188365
`0.231648
`0.281043
`0.336898
`0.399460
`0.468759
`0.544425
`
`The inflection points in the Sagittal direction and the
`Meridional direction can be obtained by linear and second-
`order differentials of the surface figure (shape) shown in
`Table 2, respectively.
`<Embodiment 2>
`
`FIG. 6 shows a second embodiment of a super wide angle
`lens system according to the present invention. The basic
`structure of the lens system of the second embodiment is
`substantially the sameas thatof the first embodiment except
`that the fourth lens element 22 of the second lens group 20
`is made of a negative meniscus lens having a convex surface
`on the object side. Numerical data regarding the sccond
`embodimentis shown in Table 3 below. The surface figure,
`paraxial spherical amount and aspherical amountof surface
`No. 3 are shown in Table 4 below. FIGS. 7 through 10 show
`aberration diagrams of the lens system af the second
`embodiment.
`
`TABLE3
`FNO = 1:1.3
`f= 1.00
`W = 58.4
`fB = 2.75 (=0.432/1.51633 + 2.467)
`
`Surface
`No.
`1
`2
`3"
`4"
`5
`6
`diaphragm
`7
`8
`9
`10
`
`R
`13.592
`3.238
`-6.981
`3.485
`11.389
`—4.026
`wo
`17.988
`2.907
`-5.170
`4.050
`
`D
`0.360
`1.619
`1.799
`3.231
`0,648
`0.980
`2.319
`0,324
`1.439
`0,036
`0,324
`
`Nd
`1.77250
`_
`1.49176
`_
`1.84666
`_
`—
`1.84666
`1.51633
`_
`1.84666
`
`vd
`49.6
`_—
`57.4
`_—
`23.8
`_—
`_
`23.8
`64.1
`_—
`23.8
`
`8
`
`TABLE3-continued
`
`FNO = 1:1.3
`f= 1.00
`W = 58.4
`
`fB = 2.75 (=0.432/1.51633 + 2.467)
`
`10
`
`15
`
`35
`
`40
`
`45
`
`60
`
`Surface
`No.
`
`11
`12
`13
`14
`15
`
`R
`
`2.479
`-10.343
`wo
`wo
`wo
`
`D
`
`1.691
`0.000
`0.432
`2.467
`—
`
`Nd
`
`1.77250
`—_—
`1.51633
`—_—
`—
`
`vd
`
`49.6
`—_—
`64.1
`—_—
`—
`
`*designales an aspherical surface with rolalion symmetry around the oplical
`axis.
`Aspherical Data:
`No.3: K = 0.00, A4 = 0.30330 x 107", A6 = -0.43125 x 10-*, A8 = 0.46329
`x 10-9, A10 = -0.24092 x 107+
`No.4: K = 0.00, A4 = 0.50708 x 1077, A6 = -0.52255 x 107°, A8 = 0.34087
`x 10-2, A10 = -0.73846 x 107
`
`Distance from
`optical axis
`0.00000
`0.10000
`0.20000
`0.30000
`0.40000
`0.50000
`0.60000
`0.70000
`0.80000
`0.90000
`1.00000
`1.10000
`1.20000
`1.30000
`1.40000
`1.50000
`1.60000
`1.70000
`1.80000
`1.90000
`2.00000
`2.10000
`2.20000
`2.30000
`
`2.40000
`2.50000
`
`TABLE4
`
`Surface figure
`0.000000
`—0.000713
`—0.002817
`-0.006206
`—0.010710
`-0.016099
`-0.022096
`—0.028385
`-0.034629
`—0.040475
`—0.045575
`-0.049591
`1.052212
`-0.053156
`-0.052183
`-0.049096
`-0.043749
`-0.036047
`—0.025958
`-0.013523
`0.001122
`9.017709
`0.035789
`0.054639
`9.073154
`0.089673
`
`Paraxial
`spherical amount
`0.000000
`-0.000716
`—0.002866
`-0.006449
`-0.011469
`-0.017929
`-0.025832
`-0.035184
`-0.045990
`-0.058258
`-0.071994
`-0.087209
`-0.103910
`-0.122111
`-0.141822
`-0.163056
`-0.185828
`-0.210154
`-0.236049
`-0.263533
`-(.292625
`—0.323346
`-0.355718
`-U.389766
`-0.425517
`-0.462997
`
`Aspherical
`amount
`0.000000
`0.000003
`0.000048
`0.000243
`0.000759
`0.001830
`0.003737
`0.006799
`0.011362
`0.017783
`0.026420
`0.037617
`0.051699
`0.068955
`0.089639
`0.113960
`0.142079
`0.174107
`0.210092
`0.250010
`0.293747
`0.341055
`0.391507
`0.444405
`0.498671
`0.552670
`
`<Embodiment 3>
`
`FIG. 11 showsa third embodiment of a super wide angle
`lens system according ta the present invention. The basic
`structure of the lens system of the third embodiment is
`substantially the same as that of the second embodiment.
`Numerical data regarding the third embodiment is shown in
`Table 5 below. The surface figure, paraxial spherical amount
`and aspherical amount of surface No. 3 are shown in Table
`6 below. FIGS. 12 through 15 showaberration diagrams of
`the lens system of the third embodiment.
`
`LGE Exhibit 1007
`LGE v. ImmerVision
`Page 14 of 17
`
`

`

`9
`
`TABLE 5
`PNO = 17:1.3
`f = 1.00
`W = 58.5
`£B = 2.79 (=0.437/1,51633 + 2.501)
`
`R
`11.660
`3.274
`—8.060
`3.032
`-11.339
`-3.881
`«
`28.148
`3.022
`-4.790
`4.000
`2.425
`—11.318
`o
`w
`we
`
`D
`0.364
`1.637
`2.485
`3.046
`0.655
`0.546
`2.417
`0.327
`1.455
`0.036
`0.327
`1.637
`0.000
`0.437
`2.501
`—
`
`Nd
`1.77250
`—_—
`1.49176
`—_—
`1.84666
`—_—
`—_—
`1.84666
`1.51633
`_
`1.84666
`1.77250
`—
`1.51633
`—_—
`—
`
`Surface
`No.
`1
`2
`3*
`4"
`5
`6
`diaphragm
`7
`8
`9
`10
`il
`12
`13
`14
`15
`
`5,861,999
`
`10
`
`TABLE7
`ENO = 1:1.3
`f= 1.00
`W = 58.1
`EB = 2.90 (=0.422/1.51633 + 2.622)
`
`10
`
`15
`
`vd
`49.6
`_—
`57.4
`_—
`23.8
`
`_—
`23.8
`64.1
`_
`23.8
`49.6
`_
`64.1
`_—
`—
`
`Surface
`
`DMRwe*OE
`
`wo
`9
`16
`11
`12
`13
`14
`1s
`
`R
`
`17.000
`2.016
`-10.108
`6.008
`-16.636
`-3.553
`95.609
`2.691
`-3.867
`4.862
`2.512
`-8.951
`wo
`@
`oe
`
`D
`
`0.500
`1.793
`1.149
`1.950
`1.300
`1.880
`0,300
`2,000
`0,030
`0.300
`1.300
`0.000
`0.422
`2,622
`—_—
`
`Nd
`
`1.77250
`
`1.49176
`1.8466
`1.84666
`1.51633
`
`1.8466
`1.77250
`
`1 51633
`
`vd
`
`49.6
`
`57.4
`338
`23.8
`64.1
`
`33.8
`49.6
`
`6a
`
`*designates an aspherical surface with rotation symmetry around the optical
`axis.
`Aspherical Data:
`No.3: K = 0.00, A4 = 0.30330 x 10-*, A6 = -0.43125 x 10-?, A8 = 0.46329
`x 10>, A10 = -0.24092 x 10+
`No.4: K = 0.00, A4 = 0.50708 x 1071, A6 = -0.52255 x 10-7, A& = 0.34087
`x 107, Al0 = -0.73846 x 10°
`
`*designales an aspherical surface with rolalion symmetry around the oplical
`axis.
`Aspherical Data:
`No.3: K = 0.00, Ad = 0.88810 x 107!, A6 = -0.27110 x 10-4, A8 = 0.79690
`x 10, A10 = -0.61180 x 1077
`No.4: K = 0.00, A4 = 0.11720, A6 = -0.48970 x 197, A8 = 0.25560 x 1074,
`AO = -0.13970 x 10 *
`
`‘TABLE 6
`
`TABLE8
`
`Distance from
`optical axis
`0.00000
`0.10000
`0.20000
`0.30000
`0.40000
`0.50000
`0.60000
`0.70000
`0.80000
`0.90000
`1.00000
`1.100000
`1.20000
`1.30000
`1.40000
`1.50000
`1.60000
`1.70000
`1.80000
`
`Surface figure
`0.000000
`—0.000618
`—9.002449
`-().005421
`—0.009418
`—9.014283
`—J.019826
`-0.025827
`—1.032049
`—0.038241
`—0.044148
`—(.049517
`-0.054104
`—9.057680
`—J.060032
`—0.060962
`—1.060294
`—0.057864
`-0.053523
`
`Paraxial
`tical amount
`9.900000
`0.000620
`0.002482
`0.005585
`0.009932
`0.015524
`0.022364
`0.030455
`0.039801
`0.050406
`0.062275
`0.075415
`0.089831
`0.105530
`0.122519
`0.140808
`0.160405
`0.181320
`0.203563
`
`sphe
`
`-
`-
`-
`-
`-
`=
`-
`-
`-
`-
`-
`-
`-
`=
`-
`-
`-
`-
`
`Aspherical
`amount
`0.000000
`0.000002
`0.000033
`0.0001 64
`0.000514
`0.001241
`0.002538
`0.004627
`0.007751
`0.012164
`0.018127
`0.025898
`0.035726
`0.047849
`0.062488
`0.079846
`0.100111
`0.123456
`0.150040
`
`Values of the ratios defined in conditions (1) through (8)
`for the four embodiments are shown in Table 9 below.
`
`‘TABLE 9
`Embodiment 1
`
`-7.296
`4.1500 x 10-2
`-7.2169 x 10%
`1.0529 x 10-73
`2.549
`2.400
`529,729
`4.118
`
`Embodiment 2
`
`-6.981
`3.0330 x 10-7
`-4.3125 x 10°
`4.6329 x 10-+
`2.907
`2.479
`25.228
`4.178
`
`) ?)))) ))
`
`1234567
`
`Condition
`Condition
`Condition
`Condition
`Condition
`Condition
`Condition
`Condition (8
`
`Distance from
`optical axis
`0.00000
`0.10000
`0.20000
`0.30000
`0.40000
`0.50000
`0.60000
`0.70000
`0.80000
`0.90000
`1.00000
`1.10000
`1.20000
`1.30000
`1.40000
`1.50000
`1.60000
`1.70000
`1.80000
`1.90000
`2,00000
`2,10000
`2.20000
`2,30000
`2.40000
`2.50000
`2,60000
`2.70000
`
`Surface figure
`0.000000
`—0,000618
`-0.002449
`-0.005421
`—0,009418
`-0.014283
`-0.019826
`—0.025827
`-0.032049
`—0,038241
`-0.044148
`-0.049517
`—0.054104
`-0.057680
`-0.060032
`—0.060962
`-0.060294
`-0.057864
`-0.053523
`-0.047133
`—0.038568
`-0.027713
`-0.014479
`0.001185
`0.019254
`0.039585
`0.061843
`0.085399
`
`Paraxial
`spherical amount
`0.000000
`—0,000620
`-0,002482
`-0.005585
`—0,009932
`-0.015524
`-0,022364
`—0.030455
`-0.039801
`—0.050406
`-0.062275
`-0.075415
`—0.089831
`-0.105530
`-U,122519
`—0.140808
`-0.160405
`-0,181320
`-0.203563
`-0.227146
`-0.252081
`-0.278381
`-U.306U59
`-0.335131
`-0.365612
`-0.397520
`-0.430872
`-0.465686
`
`
`
`Aspherical
`amount
`0.000000
`0.000002
`0.000033
`0.000164
`0.000514
`0.001241
`0.002538
`0.004627
`0.007751
`0.012164
`0.018127
`0.025898
`0.035726
`0.047849
`0.062488
`0.079846
`0.100111
`0.123456
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