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JP2000180718A - Photographic lens system - Google Patents

Photographic lens system

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Publication number
JP2000180718A
JP2000180718A JP10353431A JP35343198A JP2000180718A JP 2000180718 A JP2000180718 A JP 2000180718A JP 10353431 A JP10353431 A JP 10353431A JP 35343198 A JP35343198 A JP 35343198A JP 2000180718 A JP2000180718 A JP 2000180718A
Authority
JP
Japan
Prior art keywords
lens
object side
conditional expression
optical axis
rear group
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP10353431A
Other languages
Japanese (ja)
Inventor
Masafumi Isono
雅史 磯野
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Minolta Co Ltd
Original Assignee
Minolta Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Minolta Co Ltd filed Critical Minolta Co Ltd
Priority to JP10353431A priority Critical patent/JP2000180718A/en
Priority to TW088121451A priority patent/TW484019B/en
Priority to US09/457,747 priority patent/US6239921B1/en
Priority to CN99120488.3A priority patent/CN1261680A/en
Publication of JP2000180718A publication Critical patent/JP2000180718A/en
Pending legal-status Critical Current

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Abstract

PROBLEM TO BE SOLVED: To provide an inexpensive compact photographic lens system having high optical performance. SOLUTION: This system is provided with a front group F, a diaphragm A and a rear group R in order from an object side. The front group F is constituted of two lenses, a negative lens FL1 made of plastic material and a positive lens FL2 made of glass material. The rear group R is provided with a plastic positive lens RL2, which is arranged closest to the image side and a lens RL2 formed of glass material on the object side of the positive lens RL2. In this case, a conditional inequality |f×fa/Ha2+f×fb/Hb2|<5 is satisified. Here (f) represents the focal distance of the whole system, (fa) the focal distance of the negative lens FL1, (fb) the focal length of the positive lens RL2, Ha the incident height of on-axis F-numbered light on the negative lens FL1, Hb the incident height of on-axis F-numbered light on the positive lens RL2, respectively.

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明は小型の撮影レンズ系
に関するものであり、更に詳しくはデジタル入力機器
(デジタルスチルカメラ,デジタルビデオカメラ等)に適
した、低コストでコンパクトな撮影レンズ系に関するも
のである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a small photographing lens system, and more particularly, to a digital input device.
The present invention relates to a low-cost and compact photographing lens system suitable for (a digital still camera, a digital video camera, etc.).

【0002】[0002]

【従来の技術】近年、パーソナルコンピュータ等の普及
に伴い、手軽に画像情報をデジタル機器に取り込むこと
ができるデジタルスチルカメラやデジタルビデオカメラ
等(以下単に「デジタルカメラ」という。)が、個人ユー
ザーレベルで普及しつつある。このようなデジタルカメ
ラは、今後も画像情報の入力機器として益々普及するこ
とが予想される。
2. Description of the Related Art In recent years, with the spread of personal computers and the like, digital still cameras, digital video cameras, and the like (hereinafter, simply referred to as "digital cameras") that can easily capture image information into digital devices have become available to individual users. It is becoming popular. Such digital cameras are expected to be increasingly used as image information input devices in the future.

【0003】また、デジタルカメラに搭載されるCCD
(Charge Coupled Device)等の固体撮像素子の小型化が
進展してきており、それに伴ってデジタルカメラにも一
層の小型化が求められている。このため、デジタル入力
機器において最大の容積を占める撮影レンズ系にも、コ
ンパクト化が強く要望されている。さらに、近年の低価
格化競争のため、撮影レンズ系にも低コスト化の要望が
強くなってきている。以上のような要望に対し、レンズ
枚数が5〜6枚と比較的少なくコンパクトなデジタルカ
メラ用の撮影レンズ系が、特開平9−43512号,特
開平9−166748号,特開平10−20188号の
各公報で提案されている。また、銀塩フィルムを使用す
るレンズシャッターカメラ用の撮影レンズ系は、近年コ
ンパクト化が顕著に進行しているので、これをデジタル
カメラ用の撮影レンズ系として流用することも考えられ
る。
[0003] CCDs mounted on digital cameras
(Charge Coupled Device) and other solid-state imaging devices have been miniaturized, and accordingly, digital cameras have been required to be further miniaturized. For this reason, there is a strong demand for a compact photographing lens system which occupies the largest volume in a digital input device. Furthermore, due to the recent price competition, demands for cost reduction in photographing lens systems have been increasing. In response to the demands described above, a compact photographing lens system for a digital camera having a relatively small number of lenses of 5 to 6 is disclosed in JP-A-9-43512, JP-A-9-166748, and JP-A-10-20188. In each publication. In addition, since the taking lens system for a lens shutter camera using a silver halide film has been remarkably downsized in recent years, it can be conceived to use this as a taking lens system for a digital camera.

【0004】[0004]

【発明が解決しようとする課題】上記各公報に記載され
ている撮影レンズ系は、コンパクトではあるが、すべて
のレンズがガラスで構成されているため、低コスト化が
達成されていない。また、レンズシャッターカメラ用の
撮影レンズ系をデジタルカメラにそのまま流用した場
合、固体撮像素子の前面に設けられているマイクロレン
ズの集光性能を十分に発揮させることができない。レン
ズシャッターカメラ用の撮影レンズ系では、射出瞳が像
面の近くに位置しており、撮影レンズ系から射出された
軸外光束が像面に対して斜めに入射するからである。し
たがって、マイクロレンズの集光性能が十分に発揮され
ず、画像の明るさが画像中央部と画像周辺部とで極端に
変化するという問題が生じることになる。この問題を解
決するために撮影レンズ系の射出瞳位置を像面から離そ
うとすると、どうしても撮影レンズ系全体の大型化が避
けられなくなる。
The photographing lens systems described in the above publications are compact, but cost reduction has not been achieved because all lenses are made of glass. In addition, when a photographing lens system for a lens shutter camera is used as it is in a digital camera, the light-collecting performance of a microlens provided on the front surface of a solid-state imaging device cannot be sufficiently exhibited. This is because in an imaging lens system for a lens shutter camera, the exit pupil is located near the image plane, and an off-axis light beam emitted from the imaging lens system is obliquely incident on the image plane. Therefore, the light-collecting performance of the microlens is not sufficiently exhibited, and a problem occurs that the brightness of the image is extremely changed between the central portion and the peripheral portion of the image. If the position of the exit pupil of the photographing lens system is to be moved away from the image plane in order to solve this problem, the size of the entire photographing lens system cannot be avoided.

【0005】本発明は、このような状況に鑑みてなされ
たものであって、光学性能が良好で低コストかつコンパ
クトな撮影レンズ系を提供することを目的とする。
[0005] The present invention has been made in view of such circumstances, and has as its object to provide a low-cost and compact photographing lens system having good optical performance.

【0006】[0006]

【課題を解決するための手段】上記目的を達成するた
め、第1の発明の撮影レンズ系は、物体側から順に、前
群と、絞りと、後群と、を備えた撮影レンズ系であっ
て、前記前群が、物体側から順に、プラスチック材料か
ら成る負レンズと、ガラス材料から成る正レンズと、の
2枚で構成され、前記後群が、プラスチック材料から成
る正レンズを最も像側に有するとともに、その正レンズ
の物体側にはガラス材料から成るレンズのみを含み、更
に以下の条件式を満足することを特徴とする。 |f×fa/Ha2+f×fb/Hb2|<5 ただし、 f :全系の焦点距離、 fa:前群中のプラスチック材料から成る負レンズの焦点
距離、 fb:後群中のプラスチック材料から成る正レンズの焦点
距離、 Ha:前群中のプラスチック材料から成る負レンズへの軸
上Fナンバー光線の入射高さ、 Hb:後群中のプラスチック材料から成る正レンズへの軸
上Fナンバー光線の入射高さ、 である。
In order to achieve the above object, a photographic lens system according to a first aspect of the present invention is a photographic lens system having a front group, an aperture, and a rear group in order from the object side. The front group includes, in order from the object side, a negative lens made of a plastic material and a positive lens made of a glass material. And the object side of the positive lens includes only a lens made of a glass material, and further satisfies the following conditional expression. | F × fa / Ha 2 + f × fb / Hb 2 | <5 where f: focal length of the whole system, fa: focal length of the negative lens made of plastic material in the front group, fb: plastic material in the rear group The focal length of the positive lens consisting of: Ha: the incident height of the axial F-number ray on the negative lens made of plastic material in the front group, and the Hb: the axial F-number on the positive lens made of plastic material in the rear group. The incident height of the light beam.

【0007】第2の発明の撮影レンズ系は、上記第1の
発明の構成において、更に以下の条件式を満足すること
を特徴とする。 0.01<f/fF<0.91 ただし、 fF:前群の焦点距離、 である。
A photographic lens system according to a second aspect of the present invention is characterized in that, in the configuration of the first aspect, the following conditional expression is further satisfied. 0.01 <f / fF <0.91 where fF is the focal length of the front group.

【0008】第3の発明の撮影レンズ系は、上記第1の
発明の構成において、前記前群中の負レンズの少なくと
も1面が非球面であり、非球面の最大有効半径をymaxと
するとき、0.7ymax<y<1.0ymaxなる任意の光軸垂直方
向高さyに対して、以下の条件式を満足することを特徴
とする。 0.01<|(x-x0)/(N'-N)|<2.0 ただし、 x :非球面の光軸に対して垂直方向の高さでの光軸方向
の変位量(mm;物体側方向を負とする。)、 x0:非球面の基準球面の光軸に対して垂直方向の高さで
の光軸方向の変位量(mm;物体側方向を負とする。)、 N :非球面より物体側の媒質のd線に対する屈折率、 N':非球面より像側の媒質のd線に対する屈折率、 である。
According to a third aspect of the present invention, in the photographic lens system according to the first aspect, at least one surface of the negative lens in the front group is an aspheric surface, and a maximum effective radius of the aspheric surface is ymax. , 0.7ymax <y <1.0ymax, and the following conditional expression is satisfied for an arbitrary height y in the vertical direction of the optical axis. 0.01 <| (x-x0) / (N'-N) | <2.0 where x: displacement in the optical axis direction at a height perpendicular to the optical axis of the aspherical surface (mm; X0: Displacement in the optical axis direction at a height perpendicular to the optical axis of the reference aspherical surface (mm; object side direction is negative), N: From the aspherical surface The refractive index of the medium on the object side for the d-line, N ': the refractive index of the medium on the image side of the aspherical surface for the d-line.

【0009】第4の発明の撮影レンズ系は、上記第1の
発明の構成において、前記後群中の最も像側の正レンズ
の少なくとも1面が非球面であり、非球面の最大有効半
径をymaxとするとき、0.7ymax<y<1.0ymaxなる任意の
光軸垂直方向高さyに対して、以下の条件式を満足する
ことを特徴とする。 0.01<|(x-x0)/(N'-N)|<2.0 ただし、 x :非球面の光軸に対して垂直方向の高さでの光軸方向
の変位量(mm;物体側方向を負とする。)、 x0:非球面の基準球面の光軸に対して垂直方向の高さで
の光軸方向の変位量(mm;物体側方向を負とする。)、 N :非球面より物体側の媒質のd線に対する屈折率、 N':非球面より像側の媒質のd線に対する屈折率、 である。
According to a fourth aspect of the present invention, in the photographic lens system according to the first aspect of the present invention, at least one surface of the most image-side positive lens in the rear group is an aspheric surface, and the maximum effective radius of the aspheric surface is reduced. When ymax is satisfied, the following conditional expression is satisfied for an arbitrary height y in the optical axis vertical direction satisfying 0.7ymax <y <1.0ymax. 0.01 <| (x-x0) / (N'-N) | <2.0 where x: displacement in the optical axis direction at a height perpendicular to the optical axis of the aspherical surface (mm; X0: Displacement in the optical axis direction at a height perpendicular to the optical axis of the reference aspherical surface (mm; object side direction is negative), N: From the aspherical surface The refractive index of the medium on the object side for the d-line, N ': the refractive index of the medium on the image side of the aspherical surface for the d-line.

【0010】第5の発明の撮影レンズ系は、上記第1の
発明の構成において、前記後群が、物体側から順に、両
凹レンズと両凸レンズとの接合レンズと、プラスチック
材料から成る正レンズと、で構成されていることを特徴
とする。
A photographic lens system according to a fifth aspect of the present invention is the photographic lens system according to the first aspect, wherein the rear group includes, in order from the object side, a cemented lens of a biconcave lens and a biconvex lens, and a positive lens made of a plastic material. , And is characterized by the following.

【0011】第6の発明の撮影レンズ系は、上記第1の
発明の構成において、前記後群が、物体側から順に、両
凸レンズと両凹レンズとの接合レンズと、プラスチック
材料から成る正レンズと、で構成されていることを特徴
とする。
A photographic lens system according to a sixth aspect of the present invention is the photographic lens system according to the first aspect, wherein the rear group includes, in order from the object side, a cemented lens of a biconvex lens and a biconcave lens, and a positive lens made of a plastic material. , And is characterized by the following.

【0012】第7の発明の撮影レンズ系は、上記第5又
は第6の発明の構成において、前記後群中の接合レンズ
が、以下の条件式を満足することを特徴とする。 -0.05<f/fS<0.25 ただし、 fS:後群中の接合レンズの焦点距離、 である。
A photographic lens system according to a seventh aspect is characterized in that, in the constitution of the fifth or sixth aspect, the cemented lens in the rear group satisfies the following conditional expression. −0.05 <f / fS <0.25 where fS is the focal length of the cemented lens in the rear group.

【0013】第8の発明の撮影レンズ系は、上記第5又
は第6の発明の構成において、前記後群中の最も像側の
正レンズが、以下の条件式を満足することを特徴とす
る。 0.23<f/fP<0.99 ただし、 fP:後群中の最も像側の正レンズの焦点距離、 である。
According to an eighth aspect of the present invention, in the imaging lens system according to the fifth or sixth aspect, the most image-side positive lens in the rear group satisfies the following conditional expression. . 0.23 <f / fP <0.99, where fP is the focal length of the most image-side positive lens in the rear group.

【0014】第9の発明の撮影レンズ系は、上記第1〜
第8のいずれか一つの発明の構成において、更に以下の
条件式を満足することを特徴とする。 1<img×R<15 ただし、 img:最大像高、 R :最も像側の面の有効径、 である。
A photographic lens system according to a ninth aspect of the present invention comprises
An eighth aspect of the invention is characterized in that the following conditional expression is further satisfied. 1 <img × R <15 where img: maximum image height, R: effective diameter of the surface closest to the image.

【0015】[0015]

【発明の実施の形態】以下、本発明を実施した撮影レン
ズ系を、図面を参照しつつ説明する。なお、本明細書に
おいて「パワー」とは、焦点距離の逆数で定義される量
を表し、パワーによる偏向作用は、異なる屈折率を有す
る媒質同士の界面での偏向によるものに限らず、回折に
よる偏向や媒質内の屈折率分布による偏向等によるもの
をも含むものとする。また「屈折力」とは、前記「パワ
ー」のうち特に、異なる屈折率を有する媒質同士の界面
で発生する偏向作用に起因するものを表す。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS A photographic lens system embodying the present invention will be described below with reference to the drawings. In this specification, “power” refers to an amount defined by the reciprocal of the focal length, and the deflecting action by power is not limited to deflecting at an interface between media having different refractive indices, but is caused by diffraction. It also includes those due to deflection or deflection due to the refractive index distribution in the medium. In addition, the “refractive power” particularly refers to the “power” resulting from a deflecting action generated at an interface between media having different refractive indexes.

【0016】図1〜図8は、第1〜第8の実施の形態の
撮影レンズ系にそれぞれ対応するレンズ構成図であり、
各実施の形態のレンズ配置を断面図で示している。各レ
ンズ構成図中、ri(i=1,2,3,...)が付された面は物体(す
なわち被写体)側から数えてi番目の面であり、riに*印
が付された面は非球面である。また、di(i=1,2,3,...)
が付された軸上面間隔は、物体側から数えてi番目の軸
上面間隔である。各実施の形態はいずれも、概略、物体
側から順に、正のパワーを有する前群(F)と、絞り(A)
と、正のパワーを有する後群(R)と、ローパスフィルタ
ー(LPF)と、で構成されたデジタルカメラ用の撮影レン
ズ系である。
FIGS. 1 to 8 are lens configuration diagrams respectively corresponding to the photographing lens systems of the first to eighth embodiments.
The lens arrangement of each embodiment is shown in a sectional view. In each lens configuration diagram, the surface marked with ri (i = 1, 2, 3, ...) is the i-th surface counted from the object (i.e., the subject) side, and ri is marked *. The surface is aspheric. Also, di (i = 1,2,3, ...)
Is the ith axial top surface distance counted from the object side. In each of the embodiments, in general, in order from the object side, a front group (F) having a positive power, and an aperture (A)
And a rear lens unit (R) having a positive power, and a low-pass filter (LPF).

【0017】第1の実施の形態(図1)において、各群
(F,R)は、物体側から順に以下のように構成されてい
る。前群(F)は、両凹の負レンズ(FL1)と、両凸の正レン
ズ(FL2)と、で構成されている。負レンズ(FL1)はプラス
チック材料から成っており、正レンズ(FL2)はガラス材
料から成っている。また、負レンズ(FL1)の像側面は非
球面である。後群(R)は、両凹レンズと両凸レンズとか
ら成る接合レンズ(RL1)と、両凸の正レンズ(RL2)と、で
構成されている。接合レンズ(RL1)はガラス材料から成
っており、正レンズ(RL2)はプラスチック材料から成っ
ている。また、正レンズ(RL2)の物体側面は非球面であ
る。
In the first embodiment (FIG. 1), each group
(F, R) is configured as follows in order from the object side. The front group (F) includes a biconcave negative lens (FL1) and a biconvex positive lens (FL2). The negative lens (FL1) is made of a plastic material, and the positive lens (FL2) is made of a glass material. The image side surface of the negative lens (FL1) is aspheric. The rear group (R) includes a cemented lens (RL1) including a biconcave lens and a biconvex lens, and a biconvex positive lens (RL2). The cemented lens (RL1) is made of a glass material, and the positive lens (RL2) is made of a plastic material. The object side surface of the positive lens (RL2) is aspheric.

【0018】第2,第3の実施の形態(図2,図3)にお
いて、各群(F,R)は、物体側から順に以下のように構成
されている。前群(F)は、両凹の負レンズ(FL1)と、両凸
の正レンズ(FL2)と、で構成されている。負レンズ(FL1)
はプラスチック材料から成っており、正レンズ(FL2)は
ガラス材料から成っている。また、負レンズ(FL1)の両
面は非球面である。後群(R)は、両凹レンズと両凸レン
ズとから成る接合レンズ(RL1)と、物体側に凸の正メニ
スカスレンズ(RL2)と、で構成されている。接合レンズ
(RL1)はガラス材料から成っており、正メニスカスレン
ズ(RL2)はプラスチック材料から成っている。また、正
メニスカスレンズ(RL2)の物体側面は非球面である。
In the second and third embodiments (FIGS. 2 and 3), each group (F, R) is configured as follows in order from the object side. The front group (F) includes a biconcave negative lens (FL1) and a biconvex positive lens (FL2). Negative lens (FL1)
Is made of a plastic material, and the positive lens (FL2) is made of a glass material. Both surfaces of the negative lens (FL1) are aspherical. The rear group (R) includes a cemented lens (RL1) including a biconcave lens and a biconvex lens, and a positive meniscus lens (RL2) convex to the object side. Cemented lens
(RL1) is made of a glass material, and the positive meniscus lens (RL2) is made of a plastic material. The object side surface of the positive meniscus lens (RL2) is aspheric.

【0019】第4の実施の形態(図4)において、各群
(F,R)は、物体側から順に以下のように構成されてい
る。前群(F)は、両凹の負レンズ(FL1)と、両凸の正レン
ズ(FL2)と、で構成されている。負レンズ(FL1)はプラス
チック材料から成っており、正レンズ(FL2)はガラス材
料から成っている。また、負レンズ(FL1)の両面は非球
面である。後群(R)は、両凹レンズと両凸レンズとから
成る接合レンズ(RL1)と、両凸の正レンズ(RL2)と、で構
成されている。接合レンズ(RL1)はガラス材料から成っ
ており、正レンズ(RL2)はプラスチック材料から成って
いる。また、正レンズ(RL2)の物体側面は非球面であ
る。
In the fourth embodiment (FIG. 4), each group
(F, R) is configured as follows in order from the object side. The front group (F) includes a biconcave negative lens (FL1) and a biconvex positive lens (FL2). The negative lens (FL1) is made of a plastic material, and the positive lens (FL2) is made of a glass material. Both surfaces of the negative lens (FL1) are aspherical. The rear group (R) includes a cemented lens (RL1) including a biconcave lens and a biconvex lens, and a biconvex positive lens (RL2). The cemented lens (RL1) is made of a glass material, and the positive lens (RL2) is made of a plastic material. The object side surface of the positive lens (RL2) is aspheric.

【0020】第5,第6の実施の形態(図5,図6)にお
いて、各群(F,R)は、物体側から順に以下のように構成
されている。前群(F)は、両凹の負レンズ(FL1)と、両凸
の正レンズ(FL2)と、で構成されている。負レンズ(FL1)
はプラスチック材料から成っており、正レンズ(FL2)は
ガラス材料から成っている。また、負レンズ(FL1)の像
側面は非球面である。後群(R)は、両凸レンズと両凹レ
ンズとから成る接合レンズ(RL1)と、両凸の正レンズ(RL
2)と、で構成されている。接合レンズ(RL1)はガラス材
料から成っており、正レンズ(RL2)はプラスチック材料
から成っている。また、正レンズ(RL2)の両面は非球面
である。
In the fifth and sixth embodiments (FIGS. 5 and 6), each group (F, R) is configured as follows in order from the object side. The front group (F) includes a biconcave negative lens (FL1) and a biconvex positive lens (FL2). Negative lens (FL1)
Is made of a plastic material, and the positive lens (FL2) is made of a glass material. The image side surface of the negative lens (FL1) is aspheric. The rear group (R) includes a cemented lens (RL1) including a biconvex lens and a biconcave lens, and a biconvex positive lens (RL
2). The cemented lens (RL1) is made of a glass material, and the positive lens (RL2) is made of a plastic material. Further, both surfaces of the positive lens (RL2) are aspherical.

【0021】第7,第8の実施の形態(図7,図8)にお
いて、各群(F,R)は、物体側から順に以下のように構成
されている。前群(F)は、両凹の負レンズ(FL1)と、両凸
の正レンズ(FL2)と、で構成されている。負レンズ(FL1)
はプラスチック材料から成っており、正レンズ(FL2)は
ガラス材料から成っている。また、負レンズ(FL1)の両
面は非球面である。後群(R)は、両凸レンズと両凹レン
ズとから成る接合レンズ(RL1)と、両凸の正レンズ(RL2)
と、で構成されている。接合レンズ(RL1)はガラス材料
から成っており、正レンズ(RL2)はプラスチック材料か
ら成っている。また、正レンズ(RL2)の両面は非球面で
ある。
In the seventh and eighth embodiments (FIGS. 7 and 8), each group (F, R) is configured as follows in order from the object side. The front group (F) includes a biconcave negative lens (FL1) and a biconvex positive lens (FL2). Negative lens (FL1)
Is made of a plastic material, and the positive lens (FL2) is made of a glass material. Both surfaces of the negative lens (FL1) are aspherical. The rear group (R) is a cemented lens (RL1) composed of a biconvex lens and a biconcave lens, and a biconvex positive lens (RL2).
And is composed of The cemented lens (RL1) is made of a glass material, and the positive lens (RL2) is made of a plastic material. Further, both surfaces of the positive lens (RL2) are aspherical.

【0022】上記のように、各実施の形態の撮影レンズ
系は、物体側から順に前群(F)と絞り(A)と後群(R)とを
備え、前群(F)が、物体側から順に、プラスチック材料
から成る負レンズ(FL1)と、ガラス材料から成る正レン
ズ(FL2)と、の2枚で構成され、後群(R)が、プラスチッ
ク材料から成る正レンズ(RL2)を最も像側に有するとと
もに、その正レンズ(RL2)の物体側にはガラス材料から
成るレンズ(RL1)のみを含んでいる。撮影レンズ系をこ
のような構成にすることにより、プラスチック材料から
成るレンズを使用した際に問題となる、温度変化による
レンズバックの変化を抑制することができる。さらに、
小型化しても収差が良好に補正された低コストな撮影レ
ンズ系を実現することができる。
As described above, the taking lens system of each embodiment includes the front unit (F), the stop (A), and the rear unit (R) in order from the object side, and the front unit (F) is In order from the side, a negative lens (FL1) made of a plastic material and a positive lens (FL2) made of a glass material, and the rear group (R) is made up of a positive lens (RL2) made of a plastic material. In addition to the lens closest to the image, the object side of the positive lens (RL2) includes only a lens (RL1) made of a glass material. With this configuration of the taking lens system, it is possible to suppress a change in the lens back due to a temperature change, which is a problem when using a lens made of a plastic material. further,
Even if the size is reduced, a low-cost photographing lens system in which aberration is favorably corrected can be realized.

【0023】また、第1〜第4の実施の形態のように、
物体側から順に、両凹レンズと両凸レンズとの接合レン
ズ(RL1)と、プラスチック材料から成る正レンズ(RL2)
と、で後群(R)を構成したり、第5〜第8の実施の形態
のように、物体側から順に、両凸レンズと両凹レンズと
の接合レンズ(RL1)と、プラスチック材料から成る正レ
ンズ(RL2)と、で後群(R)を構成したりすることが望まし
い。接合レンズ(RL1)を負レンズと正レンズとで構成す
ることにより、取り扱いや玉枠構成が簡単になる。ま
た、空気間隔が必要ないので、コンパクト化を達成する
上で有利になる。
Further, as in the first to fourth embodiments,
In order from the object side, a cemented lens of a biconcave lens and a biconvex lens (RL1), and a positive lens made of a plastic material (RL2)
And a rear lens unit (R), or as in the fifth to eighth embodiments, in order from the object side, a cemented lens (RL1) of a biconvex lens and a biconcave lens, and a positive lens made of a plastic material. It is desirable to form the rear unit (R) with the lens (RL2). By configuring the cemented lens (RL1) with a negative lens and a positive lens, handling and the configuration of the lens frame are simplified. Further, since no air gap is required, it is advantageous in achieving compactness.

【0024】各実施の形態では、無限遠合焦状態から近
接物体距離へのフォーカシングの際に、前群(F),後群
(R)等のすべての構成を物体側に繰り出す、いわゆる全
体繰り出しのフォーカシング方式が採用されている。し
かしながら、フォーカシング方式については、前群
(F),後群(R)等を移動させつつ同時に前群(F)と後群(R)
との間隔を変化させたり、前群(F)又は前群(F)の一部の
み、あるいは後群(R)又は後群(R)の一部のみを移動させ
たりする等、フォーカシング方式を適宜選択してもよ
い。
In each embodiment, when focusing from an infinity in-focus condition to a close object distance, the front unit (F) and the rear unit
A so-called whole extension focusing method in which all components such as (R) are extended toward the object side is employed. However, as for the focusing method,
(F), front group (F) and rear group (R) while moving the rear group (R), etc.
Focusing system, such as changing the distance between the lens and the front group (F) or only part of the front group (F), or moving only the rear group (R) or part of the rear group (R). It may be appropriately selected.

【0025】次に、各実施の形態の撮影レンズ系が満足
すべき条件式を説明する。なお、各実施の形態が以下に
示す全ての条件式を同時に満たす必要はなく、個々の条
件式をそれぞれ単独に満足すれば、対応する作用効果を
達成することが可能である。もちろん、複数の条件式を
満足する方が、光学性能,小型化,組立の観点からより
望ましいことはいうまでもない。
Next, conditional expressions which should be satisfied by the photographic lens system of each embodiment will be described. It is not necessary that each embodiment satisfies all the conditional expressions described below at the same time. If each individual conditional expression is satisfied independently, it is possible to achieve a corresponding operation and effect. Of course, it is needless to say that satisfying a plurality of conditional expressions is more desirable from the viewpoint of optical performance, miniaturization, and assembly.

【0026】以下の条件式(1)を満足することが望まし
く、条件式(1')を満足することが更に望ましい。 |f×fa/Ha2+f×fb/Hb2|<5 …(1) |f×fa/Ha2+f×fb/Hb2|<2.5 …(1') ただし、 f :全系の焦点距離、 fa:前群(F)中のプラスチック材料から成る負レンズ(FL
1)の焦点距離、 fb:後群(R)中のプラスチック材料から成る正レンズ(RL
2)の焦点距離、 Ha:前群(F)中のプラスチック材料から成る負レンズ(FL
1)への軸上Fナンバー光線の入射高さ、 Hb:後群(R)中のプラスチック材料から成る正レンズ(RL
2)への軸上Fナンバー光線の入射高さ、 である。
It is desirable to satisfy the following conditional expression (1), and it is more desirable to satisfy the conditional expression (1 ′). | F × fa / Ha 2 + f × fb / Hb 2 | <5 (1) | f × fa / Ha 2 + f × fb / Hb 2 | <2.5 (1 ′) where f is the focal length of the entire system , Fa: negative lens (FL) made of plastic material in the front group (F)
1) Focal length, fb: Positive lens (RL) made of plastic material in rear group (R)
2) Focal length, Ha: negative lens (FL) made of plastic material in front group (F)
Hb: height of incidence of on-axis F-number ray to 1), Hb: positive lens (RL) made of plastic material in rear group (R)
The incident height of the on-axis F-number ray to 2).

【0027】条件式(1)は、主に温度変化によるレンズ
バックの変化を抑制するための条件範囲を規定してい
る。条件式(1)の上限を超えると、温度変化によるレン
ズバックの変化が大きくなるため、温度変化による性能
劣化が著しくなる。条件式(1')は、上記レンズバックの
変化を抑制する上で、条件式(1)よりも更に望ましい条
件範囲を規定している。
Conditional expression (1) defines a condition range for suppressing a change in lens back mainly due to a temperature change. When the value exceeds the upper limit of the conditional expression (1), a change in lens back due to a temperature change becomes large, so that performance deterioration due to a temperature change becomes remarkable. Conditional expression (1 ′) defines a more desirable condition range than conditional expression (1) in suppressing the change of the lens back.

【0028】以下の条件式(2)を満足することが望まし
い。 0.01<f/fF<0.91 …(2) ただし、 fF:前群(F)の焦点距離、 である。
It is desirable to satisfy the following conditional expression (2). 0.01 <f / fF <0.91 (2) where fF is the focal length of the front group (F).

【0029】条件式(2)は、主に全長と収差とをバラン
スさせるための条件範囲を規定している。条件式(2)の
下限を超えると、収差補正には有利となるが全長の増大
を招き、また全長の増大に伴い前玉径が増大して、撮影
レンズ系の大型化が著しくなる。逆に、条件式(2)の上
限を超えると、全長の短縮には有利となるが、収差劣化
(特に歪曲収差と像面湾曲の劣化)が著しくなる。
Conditional expression (2) mainly defines a condition range for balancing the total length and the aberration. Exceeding the lower limit of conditional expression (2) is advantageous for aberration correction, but causes an increase in the overall length. In addition, the diameter of the front lens increases with an increase in the overall length, which significantly increases the size of the photographic lens system. Conversely, exceeding the upper limit of conditional expression (2) is advantageous for shortening the overall length, but causes aberration degradation.
(Especially, distortion and deterioration of field curvature) become remarkable.

【0030】前群(F)中の負レンズ(FL1)の少なくとも1
面が非球面であり、非球面の最大有効半径をymaxとする
とき、0.7ymax<y<1.0ymaxなる任意の光軸垂直方向高
さyに対して、以下の条件式(3)を満足することが望まし
い。また、後群(R)中の最も像側の正レンズ(RL2)の少な
くとも1面が非球面であり、非球面の最大有効半径をym
axとするとき、0.7ymax<y<1.0ymaxなる任意の光軸垂
直方向高さyに対して、以下の条件式(3)を満足すること
が望ましい。負レンズ(FL1)の少なくとも1面と正レン
ズ(RL2)の少なくとも1面とが、共に条件式(3)を満足す
る非球面であることが更に望ましい。 0.01<|(x-x0)/(N'-N)|<2.0 …(3) ただし、 x :非球面の光軸(AX)に対して垂直方向の高さでの光軸
(AX)方向の変位量(mm;物体側方向を負とする。)、 x0:非球面の基準球面の光軸(AX)に対して垂直方向の高
さでの光軸(AX)方向の変位量(mm;物体側方向を負とす
る。)、 N :非球面より物体側の媒質のd線に対する屈折率、 N':非球面より像側の媒質のd線に対する屈折率、 である。
At least one of the negative lens (FL1) in the front group (F)
If the surface is an aspheric surface and the maximum effective radius of the aspheric surface is ymax, the following conditional expression (3) is satisfied for an arbitrary height y in the vertical direction of the optical axis where 0.7ymax <y <1.0ymax. It is desirable. Further, at least one surface of the most image-side positive lens (RL2) in the rear group (R) is an aspheric surface, and the maximum effective radius of the aspheric surface is ym.
When ax is set, it is preferable that the following conditional expression (3) is satisfied for an arbitrary height y in the vertical direction of the optical axis such that 0.7ymax <y <1.0ymax. It is more desirable that at least one surface of the negative lens (FL1) and at least one surface of the positive lens (RL2) are both aspheric surfaces that satisfy conditional expression (3). 0.01 <| (x-x0) / (N'-N) | <2.0 (3) where x is the optical axis at a height perpendicular to the aspherical optical axis (AX).
Displacement in (AX) direction (mm; object side direction is negative), x0: Optical axis (AX) direction at a height perpendicular to optical axis (AX) of aspherical reference spherical surface Displacement (mm; negative in the object side direction), N: refractive index for d-line of the medium closer to the object side than the aspherical surface, N ': refractive index for the d-line of the medium closer to the image side than the aspherical surface .

【0031】なお、非球面の面形状を表すx,基準球面
の面形状を表すx0は、具体的には面頂点を基準として表
現する以下の式(AS),(RE)でそれぞれ表される。 x={C0・y2}/{1+√(1-ε・C02・y2)}+Σ(Ai・yi) …(AS) x0={C0・y2}/{1+√(1-C02・y2)} …(RE) ただし、式(AS)及び(RE)中、 y:光軸(AX)に対して垂直方向の高さ、 C0:基準球面の曲率(すなわち非球面の基準曲率)、 ε:2次曲面パラメータ、 Ai:i次の非球面係数、 である。
Note that x representing the surface shape of the aspherical surface and x0 representing the surface shape of the reference spherical surface are specifically expressed by the following equations (AS) and (RE), respectively, with reference to the surface vertices. . x = {C0 · y 2 } / {1 + √ (1-ε · C0 2 · y 2 )} + Σ (Ai · y i )… (AS) x0 = {C0 · y 2 } / {1 + √ (1-C0 2 · y 2 )} ... (RE) in the formula (AS) and (RE), y: an optical axis (AX) with respect to vertical height, C0: the reference spherical curvature (i.e. Reference curvature of aspherical surface), ε: quadratic surface parameter, Ai: i-th order aspherical coefficient.

【0032】条件式(3)は、主に歪曲収差と像面湾曲を
適切に補正するための条件範囲を規定している。条件式
(3)の下限を超えると、正の歪曲収差が大きくなるとと
もに、像面のオーバー側への倒れが大きくなる。逆に、
条件式(3)の上限を超えると、負の歪曲収差が大きくな
るとともに、像面のアンダー側への倒れが大きくなり、
撮影レンズ系として実用に耐えられなくなる。なお、第
7の実施の形態等のように非球面が複数面ある場合に
は、少なくとも1面が条件式(3)を満足していれば、他
の非球面は他の収差とのバランスを考慮した上で条件式
(3)を満足していなくても構わない。
Conditional expression (3) mainly defines a condition range for appropriately correcting distortion and curvature of field. Conditional expression
If the lower limit of (3) is exceeded, the positive distortion will increase and the image plane will fall more toward the over side. vice versa,
When the value exceeds the upper limit of the conditional expression (3), the negative distortion becomes large, and the inclination of the image surface to the under side becomes large,
It cannot be put to practical use as a taking lens system. When there are a plurality of aspherical surfaces as in the seventh embodiment and the like, if at least one surface satisfies the conditional expression (3), the other aspherical surfaces balance the other aberrations. Considering conditional expression
You do not have to satisfy (3).

【0033】後群(R)中の接合レンズ(RL1)が、以下の条
件式(4)を満足することが望ましい。 -0.05<f/fS<0.25 …(4) ただし、 fS:後群(R)中の接合レンズ(RL1)の焦点距離、 である。
It is desirable that the cemented lens (RL1) in the rear group (R) satisfies the following conditional expression (4). -0.05 <f / fS <0.25 (4) where fS is the focal length of the cemented lens (RL1) in the rear group (R).

【0034】条件式(4)は、主に全長と収差とをバラン
スさせるための条件範囲を規定している。条件式(4)の
下限を超えると、収差補正には有利となるが全長の増大
を招き、また全長の増大に伴い前玉径が増大して、撮影
レンズ系の大型化が著しくなる。逆に、条件式(4)の上
限を超えると、全長の短縮には有利となるが、収差劣化
(特に歪曲収差と像面湾曲の劣化)が著しくなる。
Conditional expression (4) mainly defines a condition range for balancing the total length and the aberration. Exceeding the lower limit of conditional expression (4) is advantageous for aberration correction, but causes an increase in the overall length. In addition, the diameter of the front lens increases with an increase in the overall length, which significantly increases the size of the photographic lens system. Conversely, if the value exceeds the upper limit of conditional expression (4), it is advantageous to shorten the overall length.
(Especially, distortion and deterioration of field curvature) become remarkable.

【0035】後群(R)中の最も像側の正レンズ(RL2)が、
以下の条件式(5)を満足することが望ましい。 0.23<f/fP<0.99 …(5) ただし、 fP:後群(R)中の最も像側の正レンズ(RL2)の焦点距離、 である。
The most image-side positive lens (RL2) in the rear group (R) is
It is desirable to satisfy the following conditional expressions (5). 0.23 <f / fP <0.99 (5) where, fP is the focal length of the most image-side positive lens (RL2) in the rear group (R).

【0036】条件式(5)は、主にコマ収差をバランスさ
せるための条件範囲を規定している。条件式(5)の下限
を超えると、コマ収差が悪化して高次の倍率色収差への
悪影響が大きくなる。逆に、条件式(5)の上限を超える
と、コマ収差が悪化して非点収差への悪影響が大きくな
る。
Conditional expression (5) mainly defines a condition range for balancing coma. If the lower limit of conditional expression (5) is exceeded, coma will deteriorate and the adverse effect on higher-order chromatic aberration of magnification will increase. On the other hand, when the value exceeds the upper limit of the conditional expression (5), the coma aberration is deteriorated and the adverse effect on the astigmatism is increased.

【0037】以下の条件式(6)を満足することが望まし
い。 1<img×R<15 …(6) ただし、 img:最大像高、 R :最も像側の面の有効径(直径)、 である。
It is desirable to satisfy the following conditional expression (6). 1 <img × R <15 (6) where img: maximum image height, R: effective diameter (diameter) of the surface closest to the image.

【0038】条件式(6)は、主に撮影レンズ系の大きさ
及び収差並びにビデオカメラ特有の条件を、適切に保つ
ための条件範囲を規定している。ビデオカメラに用いら
れる固体撮像素子(例えばCCD)には、一般に集光性を
上げるためのマイクロレンズが各受光素子の前面に設け
られている。マイクロレンズの特性を十分に発揮させる
ためには、マイクロレンズの光軸に対して略平行(つま
り各受光素子の受光面に対して略垂直)に光束を入射さ
せる必要がある。そのためには、撮影レンズ系が像側に
テレセントリックであることが要求される。条件式(6)
の上限を超えると、略テレセントリックであることが必
要以上となり、負の歪曲収差が大きくなるとともに像面
のアンダー側への倒れが著しくなる。逆に、条件式(6)
の下限を超えると、略テレセントリックであることを満
足することが困難になり、満足したとしてもバックフォ
ーカスが必要以上に長くなるため、撮影レンズ系自体の
大型化を招いてしまう。
Conditional expression (6) mainly defines the size and aberration of the photographic lens system and the condition range for appropriately maintaining the conditions specific to the video camera. 2. Description of the Related Art A solid-state imaging device (for example, a CCD) used for a video camera is generally provided with a microlens on the front surface of each light-receiving element for improving light-collecting properties. In order to sufficiently exhibit the characteristics of the microlens, it is necessary to make the light beam incident substantially parallel to the optical axis of the microlens (that is, substantially perpendicular to the light receiving surface of each light receiving element). For that purpose, the taking lens system is required to be telecentric on the image side. Conditional expression (6)
Exceeds the upper limit, it becomes unnecessary to be substantially telecentric, the negative distortion becomes large, and the image plane falls to the under side remarkably. Conversely, conditional expression (6)
If the lower limit is exceeded, it is difficult to satisfy the condition of being substantially telecentric, and even if satisfied, the back focus becomes unnecessarily long, resulting in an increase in the size of the photographing lens system itself.

【0039】[0039]

【実施例】以下、本発明を実施した撮影レンズ系の構成
を、コンストラクションデータ,収差図等を挙げて、更
に具体的に説明する。なお、以下に挙げる実施例1〜8
は、前述した第1〜第8の実施の形態にそれぞれ対応し
ており、第1〜第8の実施の形態を表すレンズ構成図
(図1〜図8)は、対応する実施例1〜8のレンズ構成を
それぞれ示している。
DESCRIPTION OF THE PREFERRED EMBODIMENTS The construction of a photographic lens system embodying the present invention will be described more specifically with reference to construction data, aberration diagrams, and the like. In addition, the following Examples 1-8
Correspond to the above-described first to eighth embodiments, respectively, and are lens configuration diagrams showing the first to eighth embodiments.
(FIGS. 1 to 8) show the corresponding lens configurations of Examples 1 to 8, respectively.

【0040】各実施例のコンストラクションデータにお
いて、ri(i=1,2,3,...)は物体側から数えてi番目の面の
曲率半径、di(i=1,2,3,...)は物体側から数えてi番目の
軸上面間隔を示しており、Ni(i=1,2,3,...),νi(i=1,2,
3,...)は物体側から数えてi番目の光学要素のd線に対
する屈折率(Nd),アッベ数(νd)を示している。全系の焦
点距離f及びFナンバーFNOを併せて示し、条件式(1),
(1'),(2),(4)〜(6)の対応値を表1に示す。また、曲率
半径riに*印が付された面は、非球面で構成された面(非
球面形状を有する屈折光学面に限らず、非球面と等価な
屈折作用を有する面でもよい。)であることを示し、非
球面の面形状を表わす前記式(AS)で定義されるものとす
る。非球面データ及び非球面に関する条件式(3)の対応
値{ただし、ymax:非球面の光軸(AX)に対して垂直方向
の最大高さ(最大有効半径)である。}を他のデータと併
せて示す。
In the construction data of each embodiment, ri (i = 1, 2, 3,...) Is the radius of curvature of the i-th surface counted from the object side, and di (i = 1, 2, 3,. ..) indicates the i-th axial top surface distance counted from the object side, and Ni (i = 1,2,3, ...), νi (i = 1,2,
3,...) Represent the refractive index (Nd) and Abbe number (νd) of the i-th optical element counted from the object side with respect to the d-line. The focal length f and the F-number FNO of the entire system are also shown, and the conditional expression (1),
Table 1 shows the corresponding values of (1 ′), (2), (4) to (6). Further, the surface with the * mark on the radius of curvature ri is a surface formed of an aspherical surface (not limited to a refractive optical surface having an aspherical shape, but may be a surface having a refracting action equivalent to an aspherical surface). And is defined by the above-mentioned formula (AS) representing the surface shape of the aspherical surface. Aspherical surface data and corresponding value of conditional expression (3) regarding aspherical surface {where, ymax: maximum height (maximum effective radius) in the direction perpendicular to the optical axis (AX) of the aspherical surface. } Together with other data.

【0041】図9〜図16は実施例1〜実施例8の収差
図であり、各々左から順に、球面収差等,非点収差及び
歪曲収差(Y':最大像高)を示している。各収差図中、実
線(d)はd線に対する収差、一点鎖線(g)はg線に対す
る収差、二点鎖線(c)はc線に対する収差、破線(SC)
は正弦条件を表しており、破線(DM)はメリディオナル
面での非点収差、実線(DS)はサジタル面での非点収差
を表わしている。
9 to 16 are aberration diagrams of the first to eighth embodiments, and show, from the left, astigmatism and distortion (Y ': maximum image height) in order from the left. In each aberration diagram, the solid line (d) is the aberration for the d line, the dashed line (g) is the aberration for the g line, the two-dot chain line (c) is the aberration for the c line, and the dashed line (SC)
Indicates a sine condition, a broken line (DM) indicates astigmatism on the meridional surface, and a solid line (DS) indicates astigmatism on the sagittal surface.

【0042】 [0042]

【0043】[第2面(r2)の非球面データ] ε= 1.0000 A4=-0.21160×10-2 A6=-0.68934×10-4 A8=-0.21582×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = −0.21160 × 10 −2 A6 = −0.68934 × 10 −4 A8 = −0.21582 × 10 −4

【0044】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.89304×10-3 A6= 0.11368×10-4 A8=-0.78938×10-6 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = −0.89304 × 10 −3 A6 = 0.11368 × 10 −4 A8 = −0.78938 × 10 −6

【0045】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00022 y=0.40ymax … (x-x0)/(N'-N)= 0.00362 y=0.60ymax … (x-x0)/(N'-N)= 0.01960 y=0.80ymax … (x-x0)/(N'-N)= 0.07027 y=1.00ymax … (x-x0)/(N'-N)= 0.20843[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00022 y = 0.40ymax… (x-x0) / (N'-N) = 0.00362 y = 0.60ymax… (x-x0) / (N'-N) = 0.01960 y = 0.80ymax … (X-x0) / (N'-N) = 0.07027 y = 1.00ymax… (x-x0) / (N'-N) = 0.20843

【0046】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00027 y=0.40ymax … (x-x0)/(N'-N)=-0.00426 y=0.60ymax … (x-x0)/(N'-N)=-0.02122 y=0.80ymax … (x-x0)/(N'-N)=-0.06632 y=1.00ymax … (x-x0)/(N'-N)=-0.16297[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00027 y = 0.40ymax… (x-x0) / (N'-N) =-0.00426 y = 0.60ymax… (x-x0) / (N'-N) =-0.02122 y = 0.80ymax… (x-x0) / (N'-N) =-0.06632 y = 1.00ymax… (x-x0) / (N'-N) =-0.16297

【0047】 [0047]

【0048】[第1面(r1)の非球面データ] ε= 1.0000 A4= 0.12670×10-2 A6=-0.52617×10-4 A8= 0.97357×10-6 [Aspherical surface data of first surface (r1)] ε = 1.0000 A4 = 0.12670 × 10 -2 A6 = -0.52617 × 10 -4 A8 = 0.97357 × 10 -6

【0049】[第2面(r2)の非球面データ] ε= 1.0000 A4= 0.30439×10-3 A6=-0.55298×10-5 A8=-0.16566×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = 0.30439 × 10 -3 A6 = -0.55298 × 10 -5 A8 = -0.16566 × 10 -4

【0050】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.10163×10-2 A6= 0.15447×10-4 A8=-0.14079×10-5 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = -0.10163 × 10 −2 A6 = 0.15447 × 10 −4 A8 = −0.14079 × 10 −5

【0051】[第1面(r1)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00106 y=0.40ymax … (x-x0)/(N'-N)= 0.01560 y=0.60ymax … (x-x0)/(N'-N)= 0.06865 y=0.80ymax … (x-x0)/(N'-N)= 0.17929 y=1.00ymax … (x−x0)/(N’−N)= 0.
35391
[Corresponding value of conditional expression (3) for first surface (r1)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00106 y = 0.40ymax… (x-x0) / (N'-N) = 0.01560 y = 0.60ymax… (x-x0) / (N'-N) = 0.06865 y = 0.80ymax ... (x-x0) / (N'-N) = 0.17929 y = 1.00ymax ... (x-x0) / (N'-N) = 0.
35391

【0052】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00006 y=0.40ymax … (x-x0)/(N'-N)=-0.00083 y=0.60ymax … (x-x0)/(N'-N)=-0.00238 y=0.80ymax … (x-x0)/(N'-N)= 0.00754 y=1.00ymax … (x-x0)/(N'-N)= 0.09481[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00006 y = 0.40ymax… (x-x0) / (N'-N) =-0.00083 y = 0.60ymax ... (x-x0) / (N'-N) =-0.00238 y = 0.80ymax… (x-x0) / (N'-N) = 0.00754 y = 1.00ymax… (x-x0) / (N'-N) = 0.09481

【0053】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00037 y=0.40ymax … (x-x0)/(N'-N)=-0.00575 y=0.60ymax … (x-x0)/(N'-N)=-0.02861 y=0.80ymax … (x-x0)/(N'-N)=-0.09038 y=1.00ymax … (x-x0)/(N'-N)=-0.22924[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00037 y = 0.40ymax… (x-x0) / (N'-N) =-0.00575 y = 0.60ymax… (x-x0) / (N'-N) =-0.02861 y = 0.80ymax… (x-x0) / (N'-N) =-0.09038 y = 1.00ymax… (x-x0) / (N'-N) =-0.22924

【0054】 [0054]

【0055】[第1面(r1)の非球面データ] ε= 1.0000 A4= 0.17350×10-2 A6=-0.73617×10-4 A8= 0.13305×10-5 [Aspherical surface data of first surface (r1)] ε = 1.0000 A4 = 0.17350 × 10 −2 A6 = −0.73617 × 10 -4 A8 = 0.13305 × 10 -5

【0056】[第2面(r2)の非球面データ] ε= 1.0000 A4= 0.86937×10-3 A6= 0.43329×10-4 A8=-0.23618×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = 0.86937 × 10 -3 A6 = 0.43329 × 10 -4 A8 = -0.23618 × 10 -4

【0057】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.11375×10-2 A6= 0.12458×10-5 A8=-0.12147×10-5 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = −0.11375 × 10 −2 A6 = 0.12458 × 10 −5 A8 = −0.12147 × 10 −5

【0058】[第1面(r1)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00234 y=0.40ymax … (x-x0)/(N'-N)= 0.03357 y=0.60ymax … (x-x0)/(N'-N)= 0.14134 y=0.80ymax … (x-x0)/(N'-N)= 0.34967 y=1.00ymax … (x-x0)/(N'-N)= 0.67241[Corresponding value of conditional expression (3) on first surface (r1)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00234 y = 0.40ymax… (x-x0) / (N'-N) = 0.03357 y = 0.60ymax… (x-x0) / (N'-N) = 0.14134 y = 0.80ymax … (X-x0) / (N'-N) = 0.34967 y = 1.00ymax… (x-x0) / (N'-N) = 0.67241

【0059】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00024 y=0.40ymax … (x-x0)/(N'-N)=-0.00386 y=0.60ymax … (x-x0)/(N'-N)=-0.01648 y=0.80ymax … (x-x0)/(N'-N)=-0.01838 y=1.00ymax … (x-x0)/(N'-N)= 0.14482[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00024 y = 0.40ymax… (x-x0) / (N'-N) =-0.00386 y = 0.60ymax… (x-x0) / (N'-N) =-0.01648 y = 0.80ymax… (x-x0) / (N'-N) =-0.01838 y = 1.00ymax… (x-x0) / (N'-N) = 0.14482

【0060】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00047 y=0.40ymax … (x-x0)/(N'-N)=-0.00751 y=0.60ymax … (x-x0)/(N'-N)=-0.03850 y=0.80ymax … (x-x0)/(N'-N)=-0.12609 y=1.00ymax … (x−x0)/(N’−N)=−0.
33147
[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00047 y = 0.40ymax… (x-x0) / (N'-N) =-0.00751 y = 0.60ymax… (x-x0) / (N'-N) =-0.03850 y = 0.80ymax ... (x-x0) / (N'-N) =-0.12609 y = 1.00ymax ... (x-x0) / (N'-N) =-0.
33147

【0061】 《実施例4》 f=4.45 FNO=2.87 [曲率半径] [軸上面間隔] [屈折率] [アッベ数] r1*= -69.893 d1= 1.685 N1= 1.52510 ν1= 56.38 r2*= 3.198 d2= 4.545 r3= 10.683 d3= 3.339 N2= 1.85000 ν2= 40.04 r4= -11.888 d4= 1.796 r5= ∞(A) d5= 1.738 r6= -9.557 d6= 0.750 N3= 1.79850 ν3= 22.60 r7= 6.619 d7= 3.155 N4= 1.77250 ν4= 49.77 r8= -8.758 d8= 0.429 r9*= 7.171 d9= 1.915 N5= 1.52510 ν5= 56.38 r10= -93.076 d10= 0.563 r11= ∞ d11= 3.400 N6= 1.51680 ν6= 64.20 r12= ∞Example 4 f = 4.45 FNO = 2.87 [Radius of Curvature] [Spacing of Shaft Upper Surface] [Refractive Index] [Abbe Number] r1 * = − 69.893 d1 = 1.685 N1 = 1.52510 v1 = 56.38 r2 * = 3.198 d2 = 4.545 r3 = 10.683 d3 = 3.339 N2 = 1.85000 ν2 = 40.04 r4 = -11.888 d4 = 1.796 r5 = ∞ (A) d5 = 1.738 r6 = -9.557 d6 = 0.750 N3 = 1.79850 ν3 = 22.60 r7 = 6.619 d7 = 3.155 N4 = 1.77250 ν4 = 49.77 r8 = -8.758 d8 = 0.429 r9 * = 7.171 d9 = 1.915 N5 = 1.52510 ν5 = 56.38 r10 = -93.076 d10 = 0.563 r11 = ∞ d11 = 3.400 N6 = 1.51680 ν6 = 64.20 r12 = ∞

【0062】[第1面(r1)の非球面データ] ε= 1.0000 A4= 0.18944×10-2 A6=-0.91951×10-4 A8= 0.18571×10-5 [Aspherical surface data of first surface (r1)] ε = 1.0000 A4 = 0.18944 × 10 −2 A6 = −0.91951 × 10 -4 A8 = 0.18571 × 10 -5

【0063】[第2面(r2)の非球面データ] ε= 1.0000 A4= 0.84518×10-3 A6= 0.82034×10-4 A8=-0.46802×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = 0.84518 × 10 -3 A6 = 0.82034 × 10 -4 A8 = −0.46802 × 10 -4

【0064】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.95746×10-3 A6= 0.20191×10-5 A8=-0.77487×10-6 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = -0.95746 × 10 -3 A6 = 0.20191 × 10 -5 A8 = -0.77487 × 10 -6

【0065】[第1面(r1)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00199 y=0.40ymax … (x-x0)/(N'-N)= 0.02851 y=0.60ymax … (x-x0)/(N'-N)= 0.11967 y=0.80ymax … (x-x0)/(N'-N)= 0.29415 y=1.00ymax … (x-x0)/(N'-N)= 0.55871[Corresponding value of conditional expression (3) on first surface (r1)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00199 y = 0.40ymax… (x-x0) / (N'-N) = 0.02851 y = 0.60ymax… (x-x0) / (N'-N) = 0.11967 y = 0.80ymax … (X-x0) / (N'-N) = 0.29415 y = 1.00ymax… (x-x0) / (N'-N) = 0.55871

【0066】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00016 y=0.40ymax … (x-x0)/(N'-N)=-0.00255 y=0.60ymax … (x-x0)/(N'-N)=-0.01048 y=0.80ymax … (x-x0)/(N'-N)=-0.00494 y=1.00ymax … (x-x0)/(N'-N)= 0.14971[Corresponding value of conditional expression (3) on second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00016 y = 0.40ymax… (x-x0) / (N'-N) =-0.00255 y = 0.60ymax… (x-x0) / (N'-N) =-0.01048 y = 0.80ymax… (x-x0) / (N'-N) =-0.00494 y = 1.00ymax… (x-x0) / (N'-N) = 0.14971

【0067】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00031 y=0.40ymax … (x-x0)/(N'-N)=-0.00489 y=0.60ymax … (x-x0)/(N'-N)=-0.02486 y=0.80ymax … (x-x0)/(N'-N)=-0.07995 y=1.00ymax … (x-x0)/(N'-N)=-0.20329[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00031 y = 0.40ymax… (x-x0) / (N'-N) =-0.00489 y = 0.60ymax… (x-x0) / (N'-N) =-0.02486 y = 0.80ymax… (x-x0) / (N'-N) =-0.07995 y = 1.00ymax… (x-x0) / (N'-N) =-0.20329

【0068】 [0068]

【0069】[第2面(r2)の非球面データ] ε= 1.0000 A4=-0.38963×10-2 A6=-0.98085×10-4 A8=-0.26318×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = −0.38963 × 10 −2 A6 = −0.998085 × 10 -4 A8 = −0.26318 × 10 -4

【0070】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.22552×10-3 A6= 0.72085×10-4 A8= 0.68284×10-6 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = −0.22552 × 10 −3 A6 = 0.72085 × 10 −4 A8 = 0.68284 × 10 −6

【0071】[第10面(r10)の非球面データ] ε= 1.0000 A4= 0.21821×10-2 A6= 0.10796×10-4 A8= 0.72248×10-5 [Aspherical surface data of the tenth surface (r10)] ε = 1.0000 A4 = 0.21821 × 10 −2 A6 = 0.10796 × 10 −4 A8 = 0.72248 × 10 −5

【0072】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00023 y=0.40ymax … (x-x0)/(N'-N)= 0.00377 y=0.60ymax … (x-x0)/(N'-N)= 0.01977 y=0.80ymax … (x-x0)/(N'-N)= 0.06649 y=1.00ymax … (x-x0)/(N'-N)= 0.17928[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00023 y = 0.40ymax… (x-x0) / (N'-N) = 0.00377 y = 0.60ymax… (x-x0) / (N'-N) = 0.01977 y = 0.80ymax … (X-x0) / (N'-N) = 0.06649 y = 1.00ymax… (x-x0) / (N'-N) = 0.17928

【0073】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00006 y=0.40ymax … (x-x0)/(N'-N)=-0.00055 y=0.60ymax … (x-x0)/(N'-N)= 0.00154 y=0.80ymax … (x-x0)/(N'-N)= 0.02489 y=1.00ymax … (x-x0)/(N'-N)= 0.12727[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00006 y = 0.40ymax… (x-x0) / (N'-N) =-0.00055 y = 0.60ymax… (x-x0) / (N'-N) = 0.00154 y = 0.80ymax… (x-x0) / (N'-N) = 0.02489 y = 1.00ymax… (x-x0) / (N'-N) = 0.12727

【0074】[第10面(r10)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00075 y=0.40ymax … (x-x0)/(N'-N)=-0.01223 y=0.60ymax … (x-x0)/(N'-N)=-0.06493 y=0.80ymax … (x-x0)/(N'-N)=-0.22816 y=1.00ymax … (x-x0)/(N'-N)=-0.66954[Corresponding value of conditional expression (3) on the tenth surface (r10)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00075 y = 0.40ymax… (x-x0) / (N'-N) =-0.01223 y = 0.60ymax… (x-x0) / (N'-N) =-0.06493 y = 0.80ymax… (x-x0) / (N'-N) =-0.22816 y = 1.00ymax… (x-x0) / (N'-N) =-0.66954

【0075】 [0075]

【0076】 [0076]

【0077】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.30193×10-3 A6= 0.70895×10-4 A8= 0.13241×10-5 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = -0.30193 × 10 -3 A6 = 0.70895 × 10 -4 A8 = 0.13241 × 10 -5

【0078】[第10面(r10)の非球面データ] ε= 1.0000 A4= 0.25310×10-2 A6= 0.18889×10-4 A8= 0.79656×10-5 [Aspherical surface data of the tenth surface (r10)] ε = 1.0000 A4 = 0.25310 × 10 −2 A6 = 0.18889 × 10 −4 A8 = 0.79656 × 10 −5

【0079】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00030 y=0.40ymax … (x-x0)/(N'-N)= 0.00489 y=0.60ymax … (x-x0)/(N'-N)= 0.02592 y=0.80ymax … (x-x0)/(N'-N)= 0.08957 y=1.00ymax … (x-x0)/(N'-N)= 0.25359[Corresponding value of conditional expression (3) of second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00030 y = 0.40ymax… (x-x0) / (N'-N) = 0.00489 y = 0.60ymax… (x-x0) / (N'-N) = 0.02592 y = 0.80ymax … (X-x0) / (N'-N) = 0.08957 y = 1.00ymax… (x-x0) / (N'-N) = 0.25359

【0080】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00010 y=0.40ymax … (x-x0)/(N'-N)=-0.00101 y=0.60ymax … (x-x0)/(N'-N)=-0.00011 y=0.80ymax … (x-x0)/(N'-N)= 0.02373 y=1.00ymax … (x−x0)/(N’−N)= 0.
14164
[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00010 y = 0.40ymax… (x-x0) / (N'-N) =-0.00101 y = 0.60ymax… (x-x0) / (N'-N) =-0.00011 y = 0.80ymax ... (x-x0) / (N'-N) = 0.02373 y = 1.00ymax ... (xx-0) / (N'-N) = 0.
14164

【0081】[第10面(r10)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00085 y=0.40ymax … (x-x0)/(N'-N)=-0.01389 y=0.60ymax … (x-x0)/(N'-N)=-0.07387 y=0.80ymax … (x-x0)/(N'-N)=-0.25938 y=1.00ymax … (x-x0)/(N'-N)=-0.75699[Corresponding value of conditional expression (3) on the tenth surface (r10)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00085 y = 0.40ymax ... (x-x0) / (N'-N) =-0.01389 y = 0.60ymax ... (x-x0) / (N'-N) =-0.07387 y = 0.80ymax… (x-x0) / (N'-N) =-0.25938 y = 1.00ymax… (x-x0) / (N'-N) =-0.75699

【0082】 [0082]

【0083】[第1面(r1)の非球面データ] ε= 1.0000 A4= 0.18968×10-2 A6=-0.17409×10-3 A8= 0.58303×10-5 [Aspherical surface data of first surface (r1)] ε = 1.0000 A4 = 0.18968 × 10 −2 A6 = −0.17409 × 10 -3 A8 = 0.58303 × 10 -5

【0084】[第2面(r2)の非球面データ] ε= 1.0000 A4=-0.14087×10-2 A6=-0.26121×10-3 A8=-0.46363×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = −0.14087 × 10 −2 A6 = −0.26121 × 10 −3 A8 = −0.46363 × 10 −4

【0085】[第9面(r9)の非球面データ] ε= 1.0000 A4= 0.41700×10-4 A6= 0.65832×10-4 A8= 0.10742×10-5 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = 0.41700 × 10 -4 A6 = 0.65832 × 10 -4 A8 = 0.10742 × 10 -5

【0086】[第10面(r10)の非球面データ] ε= 1.0000 A4= 0.25448×10-2 A6= 0.68837×10-4 A8= 0.44660×10-5 [Aspherical surface data of the tenth surface (r10)] ε = 1.0000 A4 = 0.25448 × 10 −2 A6 = 0.68837 × 10 −4 A8 = 0.44660 × 10 −5

【0087】[第1面(r1)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00060 y=0.40ymax … (x-x0)/(N'-N)= 0.00851 y=0.60ymax … (x-x0)/(N'-N)= 0.03524 y=0.80ymax … (x-x0)/(N'-N)= 0.08372 y=1.00ymax … (x-x0)/(N'-N)= 0.14712[Corresponding value of conditional expression (3) for first surface (r1)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00060 y = 0.40ymax… (x-x0) / (N'-N) = 0.00851 y = 0.60ymax… (x-x0) / (N'-N) = 0.03524 y = 0.80ymax … (X-x0) / (N'-N) = 0.08372 y = 1.00ymax… (x-x0) / (N'-N) = 0.14712

【0088】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00015 y=0.40ymax … (x-x0)/(N'-N)= 0.00283 y=0.60ymax … (x-x0)/(N'-N)= 0.01833 y=0.80ymax … (x-x0)/(N'-N)= 0.08130 y=1.00ymax … (x-x0)/(N'-N)= 0.29579[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00015 y = 0.40ymax… (x-x0) / (N'-N) = 0.00283 y = 0.60ymax… (x-x0) / (N'-N) = 0.01833 y = 0.80ymax … (X-x0) / (N'-N) = 0.08130 y = 1.00ymax… (x-x0) / (N'-N) = 0.29579

【0089】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00003 y=0.40ymax … (x-x0)/(N'-N)= 0.00116 y=0.60ymax … (x-x0)/(N'-N)= 0.01181 y=0.80ymax … (x-x0)/(N'-N)= 0.06574 y=1.00ymax … (x-x0)/(N'-N)= 0.25899[Corresponding value of conditional expression (3) on ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00003 y = 0.40ymax… (x-x0) / (N'-N) = 0.00116 y = 0.60ymax… (x-x0) / (N'-N) = 0.01181 y = 0.80ymax … (X-x0) / (N'-N) = 0.06574 y = 1.00ymax… (x-x0) / (N'-N) = 0.25899

【0090】[第10面(r10)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00092 y=0.40ymax … (x-x0)/(N'-N)=-0.01529 y=0.60ymax … (x-x0)/(N'-N)=-0.08330 y=0.80ymax … (x-x0)/(N'-N)=-0.29574 y=1.00ymax … (x-x0)/(N'-N)=-0.85079[Corresponding value of conditional expression (3) on the tenth surface (r10)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00092 y = 0.40ymax… (x-x0) / (N'-N) =-0.01529 y = 0.60ymax… (x-x0) / (N'-N) =-0.08330 y = 0.80ymax… (x-x0) / (N'-N) =-0.29574 y = 1.00ymax… (x-x0) / (N'-N) =-0.85079

【0091】 [0091]

【0092】[第1面(r1)の非球面データ] ε= 1.0000 A4= 0.26468×10-2 A6=-0.17738×10-3 A8= 0.46293×10-5 [Aspherical surface data of first surface (r1)] ε = 1.0000 A4 = 0.26468 × 10 −2 A6 = −0.17738 × 10 −3 A8 = 0.46293 × 10 −5

【0093】[第2面(r2)の非球面データ] ε= 1.0000 A4=-0.10075×10-3 A6=-0.58352×10-4 A8=-0.54769×10-4 [Aspherical surface data of second surface (r2)] ε = 1.0000 A4 = −0.10075 × 10 −3 A6 = −0.58352 × 10 −4 A8 = −0.54769 × 10 −4

【0094】[第9面(r9)の非球面データ] ε= 1.0000 A4=-0.53743×10-3 A6= 0.11163×10-3 A8= 0.43934×10-6 [Aspherical surface data of ninth surface (r9)] ε = 1.0000 A4 = −0.53743 × 10 −3 A6 = 0.11163 × 10 −3 A8 = 0.43934 × 10 −6

【0095】[第10面(r10)の非球面データ] ε= 1.0000 A4= 0.15771×10-2 A6= 0.11216×10-3 A8= 0.52257×10−5 [Aspherical surface data of the tenth surface (r10)] ε = 1.0000 A4 = 0.15771 × 10 −2 A6 = 0.11216 × 10 −3 A8 = 0.52257 × 10 −5

【0096】[第1面(r1)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00125 y=0.40ymax … (x-x0)/(N'-N)= 0.01806 y=0.60ymax … (x-x0)/(N'-N)= 0.07667 y=0.80ymax … (x-x0)/(N'-N)= 0.18952 y=1.00ymax … (x-x0)/(N'-N)= 0.34943[Corresponding value of conditional expression (3) on first surface (r1)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00125 y = 0.40ymax… (x-x0) / (N'-N) = 0.01806 y = 0.60ymax… (x-x0) / (N'-N) = 0.07667 y = 0.80ymax … (X-x0) / (N'-N) = 0.18952 y = 1.00ymax… (x-x0) / (N'-N) = 0.34943

【0097】[第2面(r2)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)= 0.00002 y=0.40ymax … (x-x0)/(N'-N)= 0.00051 y=0.60ymax … (x-x0)/(N'-N)= 0.00640 y=0.80ymax … (x-x0)/(N'-N)= 0.04913 y=1.00ymax … (x-x0)/(N'-N)= 0.26096[Corresponding value of conditional expression (3) for second surface (r2)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) = 0.00002 y = 0.40ymax… (x-x0) / (N'-N) = 0.00051 y = 0.60ymax… (x-x0) / (N'-N) = 0.00640 y = 0.80ymax … (X-x0) / (N'-N) = 0.04913 y = 1.00ymax… (x-x0) / (N'-N) = 0.26096

【0098】[第9面(r9)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00020 y=0.40ymax … (x-x0)/(N'-N)=-0.00220 y=0.60ymax … (x-x0)/(N'-N)=-0.00194 y=0.80ymax … (x-x0)/(N'-N)= 0.03541 y=1.00ymax … (x-x0)/(N'-N)= 0.22053[Corresponding value of conditional expression (3) on the ninth surface (r9)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00020 y = 0.40ymax… (x-x0) / (N'-N) =-0.00220 y = 0.60ymax… (x-x0) / (N'-N) =-0.00194 y = 0.80ymax… (x-x0) / (N'-N) = 0.03541 y = 1.00ymax… (x-x0) / (N'-N) = 0.22053

【0099】[第10面(r10)の条件式(3)の対応値] y=0.00ymax … (x-x0)/(N'-N)= 0.00000 y=0.20ymax … (x-x0)/(N'-N)=-0.00058 y=0.40ymax … (x-x0)/(N'-N)=-0.01021 y=0.60ymax … (x-x0)/(N'-N)=-0.06054 y=0.80ymax … (x-x0)/(N'-N)=-0.23806 y=1.00ymax … (x-x0)/(N'-N)=-0.75937[Corresponding value of conditional expression (3) on the tenth surface (r10)] y = 0.00ymax ... (x-x0) / (N'-N) = 0.00000 y = 0.20ymax ... (x-x0) / (N'-N) =-0.00058 y = 0.40ymax… (x-x0) / (N'-N) =-0.01021 y = 0.60ymax ... (x-x0) / (N'-N) =-0.06054 y = 0.80ymax… (x-x0) / (N'-N) =-0.23806 y = 1.00ymax… (x-x0) / (N'-N) =-0.75937

【0100】[0100]

【表1】 [Table 1]

【0101】[0101]

【発明の効果】以上説明したように本発明によれば、光
学性能が良好で低コストかつコンパクトな撮影レンズ系
を実現することができる。そして、本発明をデジタルカ
メラの撮影レンズ系に適用すれば、デジタルカメラの高
機能化,コンパクト化及び低コスト化に寄与することが
できる。
As described above, according to the present invention, it is possible to realize a low-cost and compact photographing lens system having good optical performance. Further, if the present invention is applied to a photographing lens system of a digital camera, it is possible to contribute to a higher function, a smaller size and a lower cost of the digital camera.

【図面の簡単な説明】[Brief description of the drawings]

【図1】第1の実施の形態(実施例1)のレンズ構成図。FIG. 1 is a lens configuration diagram of a first embodiment (Example 1).

【図2】第2の実施の形態(実施例2)のレンズ構成図。FIG. 2 is a lens configuration diagram of a second embodiment (Example 2).

【図3】第3の実施の形態(実施例3)のレンズ構成図。FIG. 3 is a lens configuration diagram of a third embodiment (Example 3).

【図4】第4の実施の形態(実施例4)のレンズ構成図。FIG. 4 is a lens configuration diagram of a fourth embodiment (Example 4).

【図5】第5の実施の形態(実施例5)のレンズ構成図。FIG. 5 is a lens configuration diagram of a fifth embodiment (Example 5).

【図6】第6の実施の形態(実施例6)のレンズ構成図。FIG. 6 is a lens configuration diagram of a sixth embodiment (Example 6).

【図7】第7の実施の形態(実施例7)のレンズ構成図。FIG. 7 is a lens configuration diagram of a seventh embodiment (Example 7).

【図8】第8の実施の形態(実施例8)のレンズ構成図。FIG. 8 is a lens configuration diagram of an eighth embodiment (Example 8).

【図9】実施例1の収差図。FIG. 9 is an aberration diagram of the first embodiment.

【図10】実施例2の収差図。FIG. 10 is an aberration diagram of the second embodiment.

【図11】実施例3の収差図。FIG. 11 is an aberration diagram of the third embodiment.

【図12】実施例4の収差図。FIG. 12 is an aberration diagram of the fourth embodiment.

【図13】実施例5の収差図。FIG. 13 is an aberration diagram of the fifth embodiment.

【図14】実施例6の収差図。FIG. 14 is an aberration diagram of the sixth embodiment.

【図15】実施例7の収差図。FIG. 15 is an aberration diagram of the seventh embodiment.

【図16】実施例8の収差図。FIG. 16 is an aberration diagram of the eighth embodiment.

【符号の説明】[Explanation of symbols]

F …前群 A …絞り R …後群 LPF …ローパスフィルター F: Front group A: Aperture R: Rear group LPF: Low-pass filter

Claims (9)

【特許請求の範囲】[Claims] 【請求項1】 物体側から順に、前群と、絞りと、後群
と、を備えた撮影レンズ系であって、 前記前群が、物体側から順に、プラスチック材料から成
る負レンズと、ガラス材料から成る正レンズと、の2枚
で構成され、 前記後群が、プラスチック材料から成る正レンズを最も
像側に有するとともに、その正レンズの物体側にはガラ
ス材料から成るレンズのみを含み、 更に以下の条件式を満足することを特徴とする撮影レン
ズ系; |f×fa/Ha2+f×fb/Hb2|<5 ただし、 f :全系の焦点距離、 fa:前群中のプラスチック材料から成る負レンズの焦点
距離、 fb:後群中のプラスチック材料から成る正レンズの焦点
距離、 Ha:前群中のプラスチック材料から成る負レンズへの軸
上Fナンバー光線の入射高さ、 Hb:後群中のプラスチック材料から成る正レンズへの軸
上Fナンバー光線の入射高さ、 である。
1. A photographing lens system including a front group, an aperture, and a rear group in order from the object side, wherein the front group includes, in order from the object side, a negative lens made of a plastic material, and glass. A rear lens having a positive lens made of a plastic material on the most image side, and including only a lens made of a glass material on the object side of the positive lens, | F × fa / Ha 2 + f × fb / Hb 2 | <5, where f is the focal length of the entire system, and fa is the plastic in the front group. Fb: focal length of the positive lens made of plastic material in the rear group, Ha: incident height of the on-axis F-number ray on the negative lens made of plastic material in the front group, Hb : Made of plastic material in rear group Axial F-number light incident height of the lens.
【請求項2】 更に以下の条件式を満足することを特徴
とする請求項1記載の撮影レンズ系; 0.01<f/fF<0.91 ただし、 fF:前群の焦点距離、 である。
2. The photographing lens system according to claim 1, further satisfying the following conditional expression: 0.01 <f / fF <0.91 where fF is a focal length of the front group.
【請求項3】 前記前群中の負レンズの少なくとも1面
が非球面であり、非球面の最大有効半径をymaxとすると
き、0.7ymax<y<1.0ymaxなる任意の光軸垂直方向高さy
に対して、以下の条件式を満足することを特徴とする請
求項1記載の撮影レンズ系; 0.01<|(x-x0)/(N'-N)|<2.0 ただし、 x :非球面の光軸に対して垂直方向の高さでの光軸方向
の変位量(mm;物体側方向を負とする。)、 x0:非球面の基準球面の光軸に対して垂直方向の高さで
の光軸方向の変位量(mm;物体側方向を負とする。)、 N :非球面より物体側の媒質のd線に対する屈折率、 N':非球面より像側の媒質のd線に対する屈折率、 である。
3. An optical axis vertical height satisfying 0.7ymax <y <1.0ymax, where at least one surface of the negative lens in the front group is an aspheric surface and a maximum effective radius of the aspheric surface is ymax. y
2. The photographing lens system according to claim 1, wherein the following conditional expression is satisfied: 0.01 <| (x-x0) / (N'-N) | <2.0, where x: aspherical surface Amount of displacement in the optical axis direction at a height perpendicular to the optical axis (mm; object side direction is negative), x0: Height of the aspherical reference sphere perpendicular to the optical axis , The displacement in the direction of the optical axis (mm; the direction on the object side is negative), N: the refractive index of the medium closer to the object side than the aspherical surface, and N ': the refractive index of the medium closer to the image side than the aspherical surface. The refractive index is
【請求項4】 前記後群中の最も像側の正レンズの少な
くとも1面が非球面であり、非球面の最大有効半径をym
axとするとき、0.7ymax<y<1.0ymaxなる任意の光軸垂
直方向高さyに対して、以下の条件式を満足することを
特徴とする請求項1記載の撮影レンズ系; 0.01<|(x-x0)/(N'-N)|<2.0 ただし、 x :非球面の光軸に対して垂直方向の高さでの光軸方向
の変位量(mm;物体側方向を負とする。)、 x0:非球面の基準球面の光軸に対して垂直方向の高さで
の光軸方向の変位量(mm;物体側方向を負とする。)、 N :非球面より物体側の媒質のd線に対する屈折率、 N':非球面より像側の媒質のd線に対する屈折率、 である。
4. At least one surface of the most image-side positive lens in the rear group is an aspheric surface, and the maximum effective radius of the aspheric surface is ym.
2. The photographing lens system according to claim 1, wherein, when ax is satisfied, the following conditional expression is satisfied for an arbitrary height y in the vertical direction of the optical axis such that 0.7ymax <y <1.0ymax. (x-x0) / (N'-N) | <2.0 where x: displacement in the optical axis direction at a height perpendicular to the optical axis of the aspherical surface (mm; negative in the object side direction) ), X0: Displacement in the optical axis direction at a height perpendicular to the optical axis of the aspherical reference sphere (mm; the object side direction is negative), N: Object side of the aspheric surface The refractive index for the d-line of the medium, N ': the refractive index for the d-line of the medium on the image side of the aspherical surface.
【請求項5】 前記後群が、物体側から順に、両凹レン
ズと両凸レンズとの接合レンズと、プラスチック材料か
ら成る正レンズと、で構成されていることを特徴とする
請求項1記載の撮影レンズ系。
5. The photographing apparatus according to claim 1, wherein the rear group includes, in order from the object side, a cemented lens of a biconcave lens and a biconvex lens, and a positive lens made of a plastic material. Lens system.
【請求項6】 前記後群が、物体側から順に、両凸レン
ズと両凹レンズとの接合レンズと、プラスチック材料か
ら成る正レンズと、で構成されていることを特徴とする
請求項1記載の撮影レンズ系。
6. The image pickup apparatus according to claim 1, wherein the rear group includes, in order from the object side, a cemented lens of a biconvex lens and a biconcave lens, and a positive lens made of a plastic material. Lens system.
【請求項7】 前記後群中の接合レンズが、以下の条件
式を満足することを特徴とする請求項5又は請求項6記
載の撮影レンズ系; -0.05<f/fS<0.25 ただし、 fS:後群中の接合レンズの焦点距離、 である。
7. The taking lens system according to claim 5, wherein the cemented lens in the rear group satisfies the following conditional expression: -0.05 <f / fS <0.25, where fS : Focal length of the cemented lens in the rear group.
【請求項8】 前記後群中の最も像側の正レンズが、以
下の条件式を満足することを特徴とする請求項5又は請
求項6記載の撮影レンズ系; 0.23<f/fP<0.99 ただし、 fP:後群中の最も像側の正レンズの焦点距離、 である。
8. The taking lens system according to claim 5, wherein the most image-side positive lens in the rear group satisfies the following conditional expression: 0.23 <f / fP <0.99. Where fP is the focal length of the positive lens closest to the image in the rear group.
【請求項9】 更に以下の条件式を満足することを特徴
とする請求項1〜8のいずれか1項に記載の撮影レンズ
系; 1<img×R<15 ただし、 img:最大像高、 R :最も像側の面の有効径、 である。
9. The photographing lens system according to claim 1, further satisfying the following conditional expression: 1 <img × R <15, where img: maximum image height, R: The effective diameter of the surface closest to the image.
JP10353431A 1998-12-11 1998-12-11 Photographic lens system Pending JP2000180718A (en)

Priority Applications (4)

Application Number Priority Date Filing Date Title
JP10353431A JP2000180718A (en) 1998-12-11 1998-12-11 Photographic lens system
TW088121451A TW484019B (en) 1998-12-11 1999-12-08 A taking lens system
US09/457,747 US6239921B1 (en) 1998-12-11 1999-12-10 Taking lens system
CN99120488.3A CN1261680A (en) 1998-12-11 1999-12-11 Camera lens system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP10353431A JP2000180718A (en) 1998-12-11 1998-12-11 Photographic lens system

Publications (1)

Publication Number Publication Date
JP2000180718A true JP2000180718A (en) 2000-06-30

Family

ID=18430806

Family Applications (1)

Application Number Title Priority Date Filing Date
JP10353431A Pending JP2000180718A (en) 1998-12-11 1998-12-11 Photographic lens system

Country Status (1)

Country Link
JP (1) JP2000180718A (en)

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JP2002131634A (en) * 2000-10-27 2002-05-09 Nidec Copal Corp Compact lens
JP2002277734A (en) * 2001-03-21 2002-09-25 Olympus Optical Co Ltd Photography optical system
JP2003057539A (en) * 2001-08-21 2003-02-26 Sony Corp Imaging lens
JP2009258659A (en) * 2008-03-21 2009-11-05 Olympus Medical Systems Corp Objective lens for endoscope
KR101089326B1 (en) 2009-10-20 2011-12-02 주식회사 나오텍 Optical system for wide angle camera
US8107175B2 (en) 2009-10-02 2012-01-31 Nikon Corporation Wide-angle lens, optical apparatus, and method for manufacturing wide-angle lens
WO2017209220A1 (en) 2016-06-03 2017-12-07 Ricoh Company, Ltd. Imaging optical system and imaging apparatus

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2002131634A (en) * 2000-10-27 2002-05-09 Nidec Copal Corp Compact lens
JP2002277734A (en) * 2001-03-21 2002-09-25 Olympus Optical Co Ltd Photography optical system
JP2003057539A (en) * 2001-08-21 2003-02-26 Sony Corp Imaging lens
JP2009258659A (en) * 2008-03-21 2009-11-05 Olympus Medical Systems Corp Objective lens for endoscope
US7885017B2 (en) 2008-03-21 2011-02-08 Olympus Medical Systems Corp. Objective lens system for endoscope
US8107175B2 (en) 2009-10-02 2012-01-31 Nikon Corporation Wide-angle lens, optical apparatus, and method for manufacturing wide-angle lens
KR101089326B1 (en) 2009-10-20 2011-12-02 주식회사 나오텍 Optical system for wide angle camera
WO2017209220A1 (en) 2016-06-03 2017-12-07 Ricoh Company, Ltd. Imaging optical system and imaging apparatus
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