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JP2008164989A - Imaging optical system - Google Patents

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JP2008164989A
JP2008164989A JP2006355109A JP2006355109A JP2008164989A JP 2008164989 A JP2008164989 A JP 2008164989A JP 2006355109 A JP2006355109 A JP 2006355109A JP 2006355109 A JP2006355109 A JP 2006355109A JP 2008164989 A JP2008164989 A JP 2008164989A
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optical system
imaging optical
fresnel
optical element
imaging
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Toshiyuki Nagaoka
利之 永岡
Yojin Adachi
要人 足立
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Olympus Corp
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Olympus Corp
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a compact imaging optical system which attains a closeup shot and can photograph a wide area and in which incident light rays on an object side is almost telecentric. <P>SOLUTION: The imaging optical system includes an imaging element and an imaging optical system 1 composed of at least one positive lens. At least one fresnel optical element 2 is disposed closer to the object than to the imaging optical system 1. At least one fresnesl optical element 2 has positive refractive power and satisfies conditional inequality (1): 0.05<L<SB>P</SB>/ϕ<SB>P</SB><1, wherein L<SB>P</SB>is a distance from the fresnel optical element 2 to the imaging optical system 1 and ϕ<SB>P</SB>is the effective diameter of the fresnel optical element 2. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

本発明は、撮像光学系に関し、特に、比較的近接で撮影する広画角小型光学系に関するものである。   The present invention relates to an imaging optical system, and more particularly to a small wide-angle optical system that captures images at a relatively close distance.

近年、撮像光学系を用いてバーコードやQRコードといったパターン画像を撮影し、取得した画像を処理することで所望の情報を得る装置が普及している。また、パターン画像だけでなく、生体認証で用いられる指紋や静脈あるいは目の虹彩等の画像を取得し個人を認証する装置もある。これらの装置は、例えば、携帯電話や携帯端末機、あるいはノートパソコン等に搭載して用いられる場合が多い。これらの装置は、撮像光学系を有している。撮像光学系に対する要望としては、小型かつ薄型であることがあげられる。また、他の要望としては、物体に近接しつつある程度の広いエリアを撮影することから、広画角であることがあげられる。さらに、撮影した後の画像処理の容易さの観点からは、光学系で発生する収差、特に歪曲収差は良好に補正されている必要がある。さらに、撮影時の物体までの距離が一定でない場合、例えば手振れ等の影響で、距離が微少量変わる場合がある。このような場合でも、撮影倍率の変化を小さく抑えるため、物体側の入射光線は略テレセントリック入射であることが望まれている。   2. Description of the Related Art In recent years, devices that obtain desired information by photographing pattern images such as barcodes and QR codes using an imaging optical system and processing the acquired images have become widespread. There are also devices that authenticate individuals by acquiring not only pattern images but also images such as fingerprints, veins, and eye irises used in biometric authentication. These devices are often used by being mounted on, for example, a mobile phone, a mobile terminal, or a notebook computer. These apparatuses have an imaging optical system. A demand for an imaging optical system is that it is small and thin. Another demand is that a wide angle of view is taken because a wide area is photographed while being close to the object. Furthermore, from the viewpoint of ease of image processing after shooting, aberrations generated in the optical system, particularly distortion, must be corrected well. Furthermore, when the distance to the object at the time of shooting is not constant, the distance may change slightly due to, for example, the hand shake. Even in such a case, it is desired that the incident light beam on the object side has a substantially telecentric incidence in order to suppress a change in photographing magnification.

比較的近接で撮影する広画角小型光学系としては、特許文献1や特許文献2に記載のものが知られている。これらは広画角で比較的コンパクトな光学系であるが、物体側での略テレセントリック性は確保できていない。また、歪曲収差が極めて大きくなっているため望ましくない。
特開平2−90118号公報 特許第3450543号公報
As a wide-angle compact optical system that captures images in a relatively close range, those described in Patent Document 1 and Patent Document 2 are known. These are wide-angle and comparatively compact optical systems, but they are not able to secure substantially telecentricity on the object side. Moreover, since the distortion is extremely large, it is not desirable.
JP-A-2-90118 Japanese Patent No. 3450543

本発明は従来技術のこれらの問題点に鑑みてなされたものであり、その目的は、物体側の入射光線が略テレセントリックである小型の撮像光学系であって、近接撮影と広いエリアの撮影が可能でありながら、良好な結像性能を維持した撮像光学系を提供することである。   The present invention has been made in view of these problems of the prior art, and an object thereof is a small imaging optical system in which incident light on the object side is substantially telecentric, and can perform close-up photography and wide-area photography. An imaging optical system capable of maintaining good imaging performance while being possible is provided.

上記目的を達成する本発明の撮像光学系は、少なくとも1枚の正レンズからなる結像光学系と撮像素子を含み、前記結像光学系よりも物体側に、少なくとも1枚のフレネル光学素子が配置されていることを特徴とする。   An imaging optical system of the present invention that achieves the above object includes an imaging optical system and an imaging element composed of at least one positive lens, and at least one Fresnel optical element is closer to the object side than the imaging optical system. It is arranged.

また、前記の少なくとも1つのフレネル光学素子が正の屈折力を有することを特徴とする。   The at least one Fresnel optical element has a positive refractive power.

また、以下の条件(1)を満足することを特徴とする。   Further, the following condition (1) is satisfied.

(1) 0.05<LP /φP <1
ただし、LP は前記フレネル光学素子から前記結像光学系までの距離、φP は前記フレネル光学素子の有効直径である。
(1) 0.05 <L P / φ P <1
Where L P is the distance from the Fresnel optical element to the imaging optical system, and φ P is the effective diameter of the Fresnel optical element.

以上の本発明によると、物体側の入射光線が略テレセントリックである小型の撮像光学系であって、近接撮影と広いエリアの撮影可能でありながら、良好な結像性能を維持した撮像光学系を得ることができる。   According to the present invention described above, a compact imaging optical system in which the incident light beam on the object side is substantially telecentric, and the imaging optical system maintaining good imaging performance while being capable of close-up photography and wide-area photography. Obtainable.

本実施形態の撮像光学系について説明する。本実施形態の撮像光学系は、少なくとも1枚の正レンズからなる結像光学系と撮像素子を含み、結像光学系よりも物体側に、少なくとも1枚のフレネル光学素子が配置されていることを特徴とするものである。   The imaging optical system of this embodiment will be described. The imaging optical system of the present embodiment includes an imaging optical system including at least one positive lens and an imaging element, and at least one Fresnel optical element is disposed closer to the object side than the imaging optical system. It is characterized by.

一般に、光学系の焦点距離を短くすることで広画角は達成可能である。しかしながら、広画角の状態で物体側入射光線を略テレセントリックとするには、物体側に光学素子を配置して入射光線角をコントロールすることが必要である。さらに、薄型化を達成するためは、物体側に配置した光学素子を通常のレンズではなく、フレネル光学素子とすることが望ましい。フレネル光学素子(フレネルレンズ)は、レンズの屈折に寄与する部分だけを残して全体の厚みを薄くしたレンズ素子である。そのため、フレネル光学素子を物体側に配置することで、小型化を達成したまま、物体側入射光線を略テレセントリックとすることが可能である。   In general, a wide angle of view can be achieved by shortening the focal length of the optical system. However, in order to make the object-side incident light beam substantially telecentric in a wide field angle state, it is necessary to arrange an optical element on the object side to control the incident light beam angle. Furthermore, in order to achieve a reduction in thickness, it is desirable that the optical element disposed on the object side is not a normal lens but a Fresnel optical element. A Fresnel optical element (Fresnel lens) is a lens element in which the entire thickness is reduced, leaving only a portion that contributes to the refraction of the lens. Therefore, by arranging the Fresnel optical element on the object side, it is possible to make the object-side incident light beam substantially telecentric while achieving miniaturization.

また、本実施形態の撮像光学系において、フレネル光学素子は正の屈折力を有することが望ましい。フレネル光学素子が正の屈折力を持つことで、良好な結像性能を維持しつつ、物体側の入射光線を略テレセントリックにすることが可能である。もし、フレネル光学素子が負の屈折力を有した場合は、入射光線の角度がきつくなる。また、結像光学系の屈折力を大きくする必要が生じる。そのため、諸収差を良好に補正することが極めて困難になる。このようなことから、フレネル光学素子が負の屈折力を持つのは望ましくない。   In the imaging optical system of the present embodiment, it is desirable that the Fresnel optical element has a positive refractive power. Since the Fresnel optical element has a positive refractive power, it is possible to make incident light on the object side substantially telecentric while maintaining good imaging performance. If the Fresnel optical element has a negative refractive power, the angle of the incident light beam becomes tight. In addition, it is necessary to increase the refractive power of the imaging optical system. Therefore, it becomes very difficult to correct various aberrations satisfactorily. For this reason, it is not desirable for the Fresnel optical element to have negative refractive power.

また、本実施形態の撮像光学系において、以下の条件(1)を満足することが望ましい。   In the imaging optical system of the present embodiment, it is preferable that the following condition (1) is satisfied.

(1) 0.05<LP /φP <1
ただし、LP はフレネル光学素子から結像光学系までの距離、φP はフレネル光学素子の有効直径である。
(1) 0.05 <L P / φ P <1
Where L P is the distance from the Fresnel optical element to the imaging optical system, and φ P is the effective diameter of the Fresnel optical element.

上記条件を満足すると、広いエリアを撮影しつつも良好な結像性能を維持して、小型の撮像光学系を実現することができる。もし、条件(1)の下限の0.05を越えると、結像光学系では極めて広画角な光学系が必要となるため、特に非点収差等の軸外収差の補正が困難となる。また、フレネル光学素子の屈折力も大きくする必要があるので、軸外収差の補正が困難となる。また、上限の1を越えると、撮像光学系が大きくなってしまい、これを無理に小型化するには結像性能を劣化させることになる。   When the above conditions are satisfied, a small imaging optical system can be realized while maintaining good imaging performance while photographing a wide area. If the lower limit of 0.05 of the condition (1) is exceeded, the imaging optical system requires an extremely wide field angle optical system, so that it is particularly difficult to correct off-axis aberrations such as astigmatism. In addition, since it is necessary to increase the refractive power of the Fresnel optical element, it is difficult to correct off-axis aberrations. If the upper limit of 1 is exceeded, the imaging optical system becomes large, and in order to reduce the size forcibly, the imaging performance is deteriorated.

また、本実施形態の撮像光学系においては、以下の条件(2)を満足することが望ましい。   In the imaging optical system of the present embodiment, it is preferable that the following condition (2) is satisfied.

(2) 0.01<f/fP <0.1
ただし、fは結像光学系の焦点距離、fP はフレネル光学素子の焦点距離である。
(2) 0.01 <f / f P <0.1
Here, f is the focal length of the imaging optical system, and f P is the focal length of the Fresnel optical element.

上記条件を満足すると、フレネル光学素子の製造性も加味しつつ、諸収差を補正して結像性能が良好な小型の撮像光学系を実現することができる。もし、条件(2)の下限の0.01を越えると、結像光学系の焦点距離が短く(屈折力が強く)なる、この場合、特に軸外収差の補正が困難となってしまう。また、諸収差を良好に補正するため、光学系も大きくなってしまう。また、上限の1を越えると、撮像光学系に対して、フレネル光学素子の焦点距離が短くなってしまうため、特に、非点収差の補正が困難となる。また、フレネル光学素子を角度のきつい溝形状にする必要があるため、製造も困難となる。   If the above conditions are satisfied, it is possible to realize a small imaging optical system with good imaging performance by correcting various aberrations while taking into account the manufacturability of the Fresnel optical element. If the lower limit of 0.01 of the condition (2) is exceeded, the focal length of the imaging optical system becomes short (refractive power is strong). In this case, it is particularly difficult to correct off-axis aberrations. In addition, the optical system becomes large in order to satisfactorily correct various aberrations. If the upper limit of 1 is exceeded, the focal length of the Fresnel optical element will be shortened with respect to the imaging optical system, and correction of astigmatism becomes particularly difficult. In addition, since the Fresnel optical element needs to be formed into a groove with a tight angle, manufacturing is also difficult.

また、本実施形態においては、フレネル光学素子を1枚用い、該フレネル光学素子の両面がフレネル形状であることが望ましい。このようにすると、フレネル光学素子で発生する諸収差を良好に補正することができる。   Further, in the present embodiment, it is desirable that one Fresnel optical element is used and both surfaces of the Fresnel optical element have a Fresnel shape. In this way, various aberrations generated in the Fresnel optical element can be corrected satisfactorily.

図1は、本実施形態においてフレネル光学素子の両面をフレネル形状とした模式図である。図中、αj は光軸O−O’からの距離jにおける像側の輪帯状の屈折面のエッジ角度、βk は光軸O−O’からの距離kにおける物体側の輪帯状の屈折面のエッジ角度である。ここで、片側の面のみをフレネル形状とすることもできるが、片面に屈折力を持たせると、特にフレネル光学素子で発生する軸外収差の発生量が大きくなる。また、片面の場合はエッジ角度が大きくなり、加工が困難となる。そこで、両面をフレネル形状とすることが望ましい。このようにすることで、加工性に優れ、良好な結像性能が維持されたフレネル光学素子を得ることができる。 FIG. 1 is a schematic diagram in which both sides of a Fresnel optical element are Fresnel shaped in the present embodiment. In the figure, α j is the edge angle of the image-side annular refracting surface at a distance j from the optical axis OO ′, and β k is the object-side annular refracting at a distance k from the optical axis OO ′. The edge angle of the face. Here, it is possible to make only one surface a Fresnel shape. However, if one surface has a refractive power, the amount of off-axis aberration generated particularly in the Fresnel optical element increases. Further, in the case of one side, the edge angle becomes large and processing becomes difficult. Therefore, it is desirable that both sides have a Fresnel shape. By doing so, it is possible to obtain a Fresnel optical element that is excellent in processability and maintains good imaging performance.

また、本実施形態において、フレネル光学素子の両面がフレネル形状である場合、以下の条件(3)を満足することが望ましい。   Moreover, in this embodiment, when both surfaces of a Fresnel optical element are Fresnel shape, it is desirable to satisfy the following conditions (3).

(3) αj <βk
ただし、αj はフレネル光学素子の中心から周辺に向けて距離jにおける像側の面のエッジ角度、また、βk はフレネル光学素子の中心から周辺に向けて距離kにおける物体側の面のエッジ角度である。ここで、j,kは何れも半径の50%以上の距離で、0.9<k/j<1.1を満足する。
(3) α jk
Where α j is the edge angle of the image side surface at a distance j from the center to the periphery of the Fresnel optical element, and β k is the edge of the object side surface at a distance k from the center to the periphery of the Fresnel optical element. Is an angle. Here, j and k are distances of 50% or more of the radius and satisfy 0.9 <k / j <1.1.

本実施形態においては、結像光学系では画角が広いため、フレネル光学素子の像側のエッジ角度が大きいと、この面の反射により、効率を落とすことになる。さらに、軸外収差の発生量も増大させ、結像性能を劣化させる要因ともなる。そこで、本実施形態では、特に結像光学系の画角が大きい、半径の50%以上の距離においては、条件(3)を満足することが望ましい。   In this embodiment, since the image forming optical system has a wide angle of view, if the edge angle on the image side of the Fresnel optical element is large, the efficiency is reduced due to reflection of this surface. In addition, the amount of off-axis aberrations increases, which causes deterioration in imaging performance. Therefore, in the present embodiment, it is desirable that the condition (3) is satisfied particularly at a distance of 50% or more of the radius where the angle of view of the imaging optical system is large.

また、本実施形態の光学系においては、条件(4)を満足することが望ましい。   In the optical system of the present embodiment, it is desirable that the condition (4) is satisfied.

(4) 0<DP /f<5
ただし、DP はフレネル光学素子から物体までの距離、fは結像光学系の焦点距離である。
(4) 0 <D P / f <5
Where D P is the distance from the Fresnel optical element to the object, and f is the focal length of the imaging optical system.

上記条件を満足すると、近接撮影することを鑑みつつ、小型化を達成することができる。もし、条件(4)の下限の0を越えると、フレネル光学素子が機能しなくなってしまう。また、上限の5を越えると、結像光学系の焦点距離に比して、物体距離が長くなるために装置が大きくなってしまう。   When the above conditions are satisfied, downsizing can be achieved in view of close-up photography. If the lower limit of 0 of the condition (4) is exceeded, the Fresnel optical element will not function. If the upper limit of 5 is exceeded, the apparatus becomes larger because the object distance becomes longer than the focal length of the imaging optical system.

また、特に携帯電話やパソコン等に搭載し、小型化を優先する場合、フレネル光学素子から物体までの距離、DP は0mm〜5mmであることが望ましい。 In particular, when it is mounted on a mobile phone, a personal computer, etc. and priority is given to downsizing, the distance from the Fresnel optical element to the object, D P, is preferably 0 mm to 5 mm.

また、本実施形態において、結像光学系が、物体側より順に、少なくとも1枚の負レンズを有する負群と少なくとも1枚の正レンズを有する正群で、いわゆるレトロフォーカスタイプに構成されることが望ましい。このような構成とすることで、広範囲な撮影が可能となる。   Further, in this embodiment, the imaging optical system is configured in a so-called retrofocus type in order from the object side, with a negative group having at least one negative lens and a positive group having at least one positive lens. Is desirable. With such a configuration, a wide range of photographing is possible.

また、本実施形態において、負群と正群の間に明るさ絞りが配置されることが望ましい。このような構成とすれば、特に光学系の径方向のサイズを小さくすることが可能である。このような構成とすることで、結像光学系の小型化を達成することができる。   In the present embodiment, it is desirable that an aperture stop be disposed between the negative group and the positive group. With such a configuration, it is possible to reduce the size of the optical system in the radial direction. By adopting such a configuration, it is possible to reduce the size of the imaging optical system.

また、本実施形態において、結像光学系の負群に少なくとも1枚の非球面レンズを用い、該非球面レンズの少なくとも1つの面が光軸中心から周辺にかけて負の屈折力を弱める形状を持つことが望ましい。このような構成とすることで、特にディストーションを良好に補正することができる。   In this embodiment, at least one aspheric lens is used for the negative group of the imaging optical system, and at least one surface of the aspheric lens has a shape that weakens the negative refractive power from the center to the periphery of the optical axis. Is desirable. With such a configuration, it is possible to correct distortion particularly well.

また、本実施形態において、結像光学系の正群に少なくとも1枚の非球面レンズを用い、該非球面レンズの少なくとも1つの面が光軸中心から周辺にかけて正の屈折力を弱める形状を持つことが望ましい。このような構成とすることで、特にディストーションを良好に補正することができる。   In this embodiment, at least one aspheric lens is used for the positive group of the imaging optical system, and at least one surface of the aspheric lens has a shape that weakens the positive refractive power from the center to the periphery of the optical axis. Is desirable. With such a configuration, it is possible to correct distortion particularly well.

また、本実施形態の光学系においては、明るさ絞りの直後のレンズの少なくとも1面は非球面形状であることが望ましい。このような構成とすることで、特に球面収差を良好に補正することが可能である。   In the optical system of the present embodiment, it is desirable that at least one surface of the lens immediately after the aperture stop has an aspheric shape. With such a configuration, it is possible to particularly correct spherical aberration.

また、本実施形態において、条件(1)に代えて、以下の条件(1’)を満足することが望ましい。   In the present embodiment, it is desirable to satisfy the following condition (1 ′) instead of the condition (1).

(1’) 0.1<LP /φP <0.5
上記条件を満足することで、広いエリアを撮影しつつも良好な結像性能を維持して、小型の撮像光学系を実現することができる。
(1 ′) 0.1 <L P / φ P <0.5
By satisfying the above conditions, it is possible to realize a small imaging optical system while maintaining good imaging performance while photographing a wide area.

また、本実施形態においては、条件(2)に代えて、以下の条件(2’)を満足することが望ましい。   In the present embodiment, it is desirable to satisfy the following condition (2 ′) instead of the condition (2).

(2’) 0.02<f/fP <0.08
上記条件を満足することで、フレネル光学素子の製造性も加味しつつ、諸収差を補正して結像性能が良好な小型の撮像光学系を実現することができる。
また、本実施形態の光学系においては、条件(4)に代えて、条件(4’)を満足することが望ましい。
(2 ′) 0.02 <f / f P <0.08
By satisfying the above conditions, it is possible to realize a small imaging optical system with good imaging performance by correcting various aberrations while taking into account the manufacturability of the Fresnel optical element.
In the optical system of the present embodiment, it is desirable that the condition (4 ′) is satisfied instead of the condition (4).

(4’) 0<DP /f<3
上記条件を満足することで、近接撮影することを鑑みつつ、小型化を達成することができる。
(4 ′) 0 <D P / f <3
By satisfying the above conditions, downsizing can be achieved in view of close-up photography.

以下に、本発明の撮像光学系の実施例1〜4について、図面を参照にして説明する。   Examples 1 to 4 of the imaging optical system of the present invention will be described below with reference to the drawings.

実施例1
実施例1は、図2(a)に断面を示す構成である。
Example 1
Example 1 is a structure which shows a cross section in Fig.2 (a).

図中、1は結像光学系、2はフレネル光学素子、3は物体面を表している。物体面3にCCD等の撮像素子が配置される。   In the figure, 1 is an imaging optical system, 2 is a Fresnel optical element, and 3 is an object plane. An image sensor such as a CCD is disposed on the object plane 3.

フレネル光学素子2は結像光学系1よりも物体側に配置され、正の屈折力を有している。また、本実施例のフレネル光学素子2では、両方の面をフレネル面としている。   The Fresnel optical element 2 is disposed closer to the object side than the imaging optical system 1 and has a positive refractive power. Moreover, in the Fresnel optical element 2 of the present embodiment, both surfaces are Fresnel surfaces.

結像光学系1は、図2(b)に断面を示す構成であり、物体側より順に、負レンズ、正レンズの2枚で構成された負群と、明るさ絞りと、正レンズ、正レンズの2枚で構成された正群とで構成されている。また、負の第1レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて負の屈折力が弱くなるような形状で構成されている。また、正の第3レンズの両面に非球面を用い、特に物体側の非球面形状は、光軸から周辺にかけて負の屈折力が強くなる、つまり、正の屈折力が弱くなるような形状で構成されている。   The imaging optical system 1 has a configuration shown in a cross section in FIG. 2B. In order from the object side, a negative group composed of two negative lenses and a positive lens, an aperture stop, a positive lens, and a positive lens. It is composed of a positive group composed of two lenses. In addition, aspherical surfaces are used on both surfaces of the negative first lens, and in particular, the aspherical shape on the image side is configured such that the negative refractive power decreases from the optical axis to the periphery. In addition, aspheric surfaces on both sides of the positive third lens are used, and in particular, the aspheric shape on the object side has a shape in which the negative refractive power increases from the optical axis to the periphery, that is, the positive refractive power decreases. It is configured.

また、実施例1の非球面を持つレンズは全て有機材料を用いている。   All lenses having an aspheric surface in Example 1 are made of organic materials.

また、実施例1では特に、負群を負レンズ、正レンズの2枚で構成しているため、特に色収差を良好に補正したことを特徴としており、カラー画像の取得に適した撮像光学系となっている。   In the first embodiment, in particular, since the negative group is composed of two lenses, a negative lens and a positive lens, the chromatic aberration is particularly well corrected, and an imaging optical system suitable for obtaining a color image is provided. It has become.

この実施例の数値データは後記するが、r1 、r2 …は各レンズ面の曲率半径、d1 、d2 …は各レンズ面間の間隔、nd1、nd2…は各レンズのd線の屈折率、νd1、νd2…は各レンズのアッベ数である。また、r0 は物体面の曲率半径、d0 は物体面とフレネル光学素子の第1面との距離である。なお、非球面形状は、xを光の進行方向を正とした光軸とし、yを光軸と直交する方向にとると、下記の式にて表される。 Numerical data of this embodiment will be described later. R 1 , r 2 ... Are the radius of curvature of each lens surface, d 1 , d 2 ... Are the distances between the lens surfaces, n d1 , n d2 . The refractive index of the line, ν d1 , ν d2 ... Is the Abbe number of each lens. R 0 is the radius of curvature of the object surface, and d 0 is the distance between the object surface and the first surface of the Fresnel optical element. The aspherical shape is represented by the following expression, where x is an optical axis with the light traveling direction being positive, and y is a direction orthogonal to the optical axis.

x=(y2 /r)/[1+{1−(K+1)(y/r)2 1/2
+A4 4 +A6 6 +A8 8
ただし、rは近軸曲率半径、Kは円錐係数、A4 、A6 、A8 はそれぞれ4次、6次、8次の非球面係数である。
x = (y 2 / r) / [1+ {1- (K + 1) (y / r) 2 } 1/2 ]
+ A 4 y 4 + A 6 y 6 + A 8 y 8
Here, r is a paraxial radius of curvature, K is a conical coefficient, and A 4 , A 6 , and A 8 are fourth-order, sixth-order, and eighth-order aspheric coefficients, respectively.

以下。同じ。   Less than. the same.

実施例2
実施例2は、図3(a)に断面を示す構成である。
Example 2
Example 2 is a structure which shows a cross section in Fig.3 (a).

図中、1は結像光学系、2はフレネル光学素子、3は物体面を表している。物体面3にCCD等の撮像素子が配置される。   In the figure, 1 is an imaging optical system, 2 is a Fresnel optical element, and 3 is an object plane. An image sensor such as a CCD is disposed on the object plane 3.

フレネル光学素子2は結像光学系1よりも物体側に配置され、正の屈折力を有している。また、本実施例のフレネル光学素子2では、両方の面をフレネル面としている。   The Fresnel optical element 2 is disposed closer to the object side than the imaging optical system 1 and has a positive refractive power. Moreover, in the Fresnel optical element 2 of the present embodiment, both surfaces are Fresnel surfaces.

結像光学系1は、図3(b)に断面を示す構成であり、物体側より順に、負レンズ1枚で構成された負群と、明るさ絞りと、正レンズ、正レンズの2枚で構成された正群とで構成されている。また、負の第1レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて負の屈折力が弱くなるような形状で構成されている。また、正の第3レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて正の屈折力が弱くなるような形状で構成されている。   The imaging optical system 1 has a configuration shown in a cross section in FIG. 3B, and in order from the object side, a negative group composed of one negative lens, an aperture stop, a positive lens, and a positive lens. It consists of a positive group consisting of In addition, aspherical surfaces are used on both surfaces of the negative first lens, and in particular, the aspherical shape on the image side is configured such that the negative refractive power decreases from the optical axis to the periphery. In addition, aspherical surfaces are used on both surfaces of the positive third lens, and in particular, the aspherical shape on the image side is configured such that the positive refractive power decreases from the optical axis to the periphery.

また、実施例2の非球面を持つレンズは全て有機材料を用いている。
この実施例の数値データは後記する。
All the lenses having an aspherical surface in Example 2 are made of organic materials.
Numerical data of this embodiment will be described later.

実施例3
実施例3は、図4に断面を示す構成である。
Example 3
Example 3 is a structure which shows a cross section in FIG.

図4では、フレネル光学素子は省略しているが、実施例1、2と略同様に、最も物体側に配置され、各条件を満足するものである。結像光学系は、物体側より順に、負レンズ、負レンズの2枚で構成された負群と、明るさ絞りと、正レンズ、正レンズの2枚で構成された正群とで構成されている。本実施例では、負の第1レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて負の屈折力が弱くなるような形状で構成されている。また、正の第3レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて正の屈折力が弱くなるような形状で構成されている。
この実施例の数値データは後記する。
In FIG. 4, the Fresnel optical element is omitted, but it is arranged on the most object side and satisfies each condition, as in the first and second embodiments. The imaging optical system includes, in order from the object side, a negative group composed of two lenses, a negative lens and a negative lens, and a positive group composed of an aperture stop, a positive lens, and a positive lens. ing. In this embodiment, aspherical surfaces are used on both surfaces of the negative first lens, and in particular, the aspherical shape on the image side is configured such that the negative refractive power decreases from the optical axis to the periphery. In addition, aspherical surfaces are used on both surfaces of the positive third lens, and in particular, the aspherical shape on the image side is configured such that the positive refractive power decreases from the optical axis to the periphery.
Numerical data of this embodiment will be described later.

実施例4
実施例4は、図5に断面を示す構成である。
Example 4
Example 4 is a structure which shows a cross section in FIG.

図5では、フレネル光学素子は省略しているが、実施例1、2と略同様に、最も物体側に配置され、各条件を満足するものである。結像光学系は、物体側より順に、負レンズ1枚で構成された負群と、明るさ絞りと、正レンズと、正レンズと負レンズの接合レンズとからなる合計3枚で構成された正群とで構成されている。本実施例では、負の第1レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて負の屈折力が弱くなるような形状で構成されている。また、正の第2レンズの両面に非球面を用い、特に像側の非球面形状は、光軸から周辺にかけて正の屈折力が弱くなるような形状で構成されている。   In FIG. 5, the Fresnel optical element is omitted, but it is disposed closest to the object side and satisfies each condition, as in the first and second embodiments. The imaging optical system is composed of a total of three elements including, in order from the object side, a negative group composed of one negative lens, an aperture stop, a positive lens, and a cemented lens of a positive lens and a negative lens. It consists of a positive group. In this embodiment, aspherical surfaces are used on both surfaces of the negative first lens, and in particular, the aspherical shape on the image side is configured such that the negative refractive power decreases from the optical axis to the periphery. In addition, aspherical surfaces are used on both surfaces of the positive second lens, and in particular, the aspherical shape on the image side is configured such that the positive refractive power decreases from the optical axis to the periphery.

実施例4は接合レンズを用いることで、特に色収差を良好に補正したことを特徴としており、カラー画像の取得に適した撮像光学系となっている。   The fourth embodiment is characterized in that the chromatic aberration is particularly favorably corrected by using a cemented lens, and is an imaging optical system suitable for obtaining a color image.

なお、上記実施例1〜4のフレネル光学素子2の像側の輪帯状の屈折面のエッジ角度αと物体側の輪帯状の屈折面のエッジ角度βは、図10に示した通りである。   Note that the edge angle α of the image-side annular refracting surface and the edge angle β of the object-side annular refracting surface of the Fresnel optical element 2 of Examples 1 to 4 are as shown in FIG.

以下に、上記実施例1〜4の数値データを示す。
実施例1
P =13.539 φP =49 f=0.828 fP =25 DP =0.5
FNo.2.6
0 = ∞(物体面) d0 = 0.5000
1 = ∞ d1 = 1.0000 nd1 =1.51633 νd1 =64.06
2 = ∞ d2 = 13.5391
3 = ∞ (非球面) d3 = 0.5000 nd2 =1.52542 νd2 =55.78
4 = 1.1254(非球面) d4 = 1.4736
5 = 11.1208 d5 = 0.9376 nd3 =1.92286 νd3 =18.90
6 = -9.0196 d6 = 1.1564
7 = ∞(絞り) d7 = 0.6053
8 = ∞ (非球面) d8 = 1.3180 nd4 =1.52542 νd4 =55.78
9 = -0.9895(非球面) d9 = 0.1000
10= 581.7635 d10= 0.7866 nd5 =1.77250 νd5 =49.60
11= -7.4892 d11= 0.5000
12= ∞ d12= 0.6000 nd6 =1.51633 νd6 =64.06
13= ∞ d13= 0.5083
14= ∞(像面)
非球面係数
第3面
K = 0
4 = -2.9028 ×10-3
6 = 2.6496 ×10-4
8 = 0.0000
第4面
K = -2.3562
4 = 1.0761 ×10-1
6 = -4.7455 ×10-2
8 = 8.8730 ×10-3
第8面
K = 0
4 = -1.2036 ×10-1
6 = 4.2284 ×10-2
8 = 0.0000
第9面
K = -0.9212
4 = 1.6002 ×10-3
6 = -1.8590 ×10-2
8 = 0.0000
(1) LP /φP =0.28
(2) f/fP =0.033
(4) DP /f=0.6 。
Below, the numerical data of the said Examples 1-4 are shown.
Example 1
L P = 13.539 φ P = 49 f = 0.828 f P = 25 D P = 0.5
FNo. 2.6
r 0 = ∞ (object surface) d 0 = 0.5000
r 1 = ∞ d 1 = 1.0000 n d1 = 1.51633 ν d1 = 64.06
r 2 = ∞ d 2 = 13.5391
r 3 = ∞ (aspherical surface) d 3 = 0.5000 n d2 = 1.52542 ν d2 = 55.78
r 4 = 1.1254 (aspherical surface) d 4 = 1.4736
r 5 = 11.1208 d 5 = 0.9376 n d3 = 1.92286 ν d3 = 18.90
r 6 = -9.0196 d 6 = 1.1564
r 7 = ∞ (aperture) d 7 = 0.6053
r 8 = ∞ (aspherical surface) d 8 = 1.3180 n d4 = 1.52542 ν d4 = 55.78
r 9 = -0.9895 (aspherical surface) d 9 = 0.1000
r 10 = 581.7635 d 10 = 0.7866 n d5 = 1.77250 ν d5 = 49.60
r 11 = -7.4892 d 11 = 0.5000
r 12 = ∞ d 12 = 0.6000 n d6 = 1.51633 ν d6 = 64.06
r 13 = ∞ d 13 = 0.5083
r 14 = ∞ (image plane)
Aspheric coefficient 3rd surface K = 0
A 4 = -2.9028 × 10 -3
A 6 = 2.6496 × 10 -4
A 8 = 0.0000
The fourth side K = -2.3562
A 4 = 1.0761 × 10 -1
A 6 = -4.7455 × 10 -2
A 8 = 8.8730 × 10 -3
8th surface K = 0
A 4 = -1.2036 × 10 -1
A 6 = 4.2284 × 10 -2
A 8 = 0.0000
9th surface K = -0.9212
A 4 = 1.6002 × 10 -3
A 6 = -1.8590 × 10 -2
A 8 = 0.0000
(1) L P / φ P = 0.28
(2) f / f P = 0.033
(4) D P /f=0.6.


実施例2
P =7.136 φP =43 f=0.615 fP =10 DP =1
FNo.2.1
0 = ∞(物体面) d0 = 1.0000
1 = ∞ d1 = 1.0000 nd1 =1.56864 νd1 =30.30
2 = ∞ d2 = 7.1359
3 = ∞ (非球面) d3 = 1.3009 nd2 =1.52268 νd2 =55.78
4 = 1.1828(非球面) d4 = 4.1698
5 = ∞(絞り) d5 = 0.1872
6 = -3.5252(非球面) d6 = 1.6658 nd3 =1.52268 νd3 =55.78
7 = -1.7327(非球面) d7 = 0.1500
8 = 8.2450(非球面) d8 = 1.7714 nd4 =1.52268 νd4 =55.78
9 = -1.5458(非球面) d9 = 0.5000
10= ∞ d10= 1.0000 nd5 =1.50864 νd5 =64.06
11= ∞ d11= 0.8465
12= ∞(像面)
非球面係数
第3面
K = 0
4 = 5.3699 ×10-4
6 = -8.2971 ×10-6
8 = 7.0979 ×10-8
第4面
K = -1.0056
4 = -1.4489 ×10-2
6 = -8.6417 ×10-6
8 = -1.0112 ×10-5
第6面
K = 2.3738
4 = -8.9123 ×10-2
6 = -1.3915 ×10-1
8 = 0.0000
第7面
K = 0.5112
4 = 6.5724 ×10-3
6 = 2.1670 ×10-2
8 = -6.5081 ×10-3
第8面
K = 0
4 = -2.5421 ×10-2
6 = 1.8108 ×10-2
8 = -3.2991 ×10-3
第9面
K = -1.6150
4 = -1.1575 ×10-3
6 = -4.3372 ×10-4
8 = 1.7498 ×10-3
(1) LP /φP =0.17
(2) f/fP =0.062
(4) DP /f=1.63 。

Example 2
L P = 7.136 φ P = 43 f = 0.615 f P = 10 D P = 1
FNo. 2.1
r 0 = ∞ (object surface) d 0 = 1.0000
r 1 = ∞ d 1 = 1.0000 n d1 = 1.56864 ν d1 = 30.30
r 2 = ∞ d 2 = 7.1359
r 3 = ∞ (aspherical surface) d 3 = 1.3009 n d2 = 1.52268 ν d2 = 55.78
r 4 = 1.1828 (aspherical surface) d 4 = 4.1698
r 5 = ∞ (aperture) d 5 = 0.1872
r 6 = -3.5252 (aspherical surface) d 6 = 1.6658 n d3 = 1.52268 ν d3 = 55.78
r 7 = -1.7327 (aspherical surface) d 7 = 0.1500
r 8 = 8.2450 (aspherical surface) d 8 = 1.7714 n d4 = 1.52268 ν d4 = 55.78
r 9 = -1.5458 (aspherical surface) d 9 = 0.5000
r 10 = ∞ d 10 = 1.0000 n d5 = 1.50864 ν d5 = 64.06
r 11 = ∞ d 11 = 0.8465
r 12 = ∞ (image plane)
Aspheric coefficient 3rd surface K = 0
A 4 = 5.3699 × 10 -4
A 6 = -8.2971 × 10 -6
A 8 = 7.0979 × 10 -8
4th surface K = -1.0056
A 4 = -1.4489 × 10 -2
A 6 = -8.6417 × 10 -6
A 8 = -1.0112 × 10 -5
6th page K = 2.3738
A 4 = -8.9123 × 10 -2
A 6 = -1.3915 × 10 -1
A 8 = 0.0000
7th surface K = 0.5112
A 4 = 6.5724 × 10 -3
A 6 = 2.1670 × 10 -2
A 8 = -6.5081 × 10 -3
8th surface K = 0
A 4 = -2.5421 × 10 -2
A 6 = 1.8108 × 10 -2
A 8 = -3.2991 × 10 -3
Surface 9 K = -1.6150
A 4 = -1.1575 × 10 -3
A 6 = -4.3372 × 10 -4
A 8 = 1.7498 × 10 -3
(1) L P / φ P = 0.17
(2) f / f P = 0.062
(4) D P /f=1.63.


実施例3
f=0.516
FNo.1.61
0 = ∞(物体面) d0 = 0.5000
1 = ∞ d1 = 1.0000 nd1 =1.50864 νd1 =64.06
2 = ∞ d2 = 7.4323
3 = 227.2766(非球面) d3 = 0.6000 nd2 =1.52268 νd2 =55.78
4 = 2.0382(非球面) d4 = 3.3829
5 =-50150 d5 = 0.8915 nd3 =1.50871 νd3 =64.14
6 = 3.2564 d6 = 1.9592
7 = ∞(絞り) d7 = 0.1000
8 = 26.7432(非球面) d8 = 1.7854 nd4 =1.72963 νd4 =49.34
9 = -1.4130(非球面) d9 = 0.1000
10= -721.7818 d10= 1.2977 nd5 =1.75849 νd5 =49.60
11= -3.5792 d11= 0.4000
12= ∞ d12= 0.6000 nd6 =1.50864 νd6 =64.06
13= ∞ d13= 0.5093
14= ∞(像面)
非球面係数
第3面
K = 0
4 = 5.9945 ×10-4
6 = -2.7490 ×10-6
8 = 0.0000
第4面
K = -0.8411
4 = -6.3458 ×10-3
6 = -1.5177 ×10-4
8 = 0.0000
第8面
K = 0
4 = 1.4902 ×10-17
6 = 1.8855 ×10-17
8 = 0.0000
第9面
K = 0
4 = 6.4225 ×10-2
6 = 2.1097 ×10-2
8 = 0.0000 。

Example 3
f = 0.516
FNo. 1.61
r 0 = ∞ (object surface) d 0 = 0.5000
r 1 = ∞ d 1 = 1.0000 n d1 = 1.50864 ν d1 = 64.06
r 2 = ∞ d 2 = 7.4323
r 3 = 227.2766 (aspherical surface) d 3 = 0.6000 n d2 = 1.52268 ν d2 = 55.78
r 4 = 2.0382 (aspherical surface) d 4 = 3.3829
r 5 = -50 150 d 5 = 0.8915 n d3 = 1.50871 ν d3 = 64.14
r 6 = 3.2564 d 6 = 1.9592
r 7 = ∞ (aperture) d 7 = 0.1000
r 8 = 26.7432 (aspherical surface) d 8 = 1.7854 n d4 = 1.72963 ν d4 = 49.34
r 9 = -1.4130 (aspherical surface) d 9 = 0.1000
r 10 = -721.7818 d 10 = 1.2977 n d5 = 1.75849 ν d5 = 49.60
r 11 = -3.5792 d 11 = 0.4000
r 12 = ∞ d 12 = 0.6000 n d6 = 1.50864 ν d6 = 64.06
r 13 = ∞ d 13 = 0.5093
r 14 = ∞ (image plane)
Aspheric coefficient 3rd surface K = 0
A 4 = 5.9945 × 10 -4
A 6 = -2.7490 × 10 -6
A 8 = 0.0000
4th surface K = -0.8411
A 4 = -6.3458 × 10 -3
A 6 = -1.5177 × 10 -4
A 8 = 0.0000
8th surface K = 0
A 4 = 1.4902 × 10 -17
A 6 = 1.8855 × 10 -17
A 8 = 0.0000
9th surface K = 0
A 4 = 6.4225 × 10 -2
A 6 = 2.1097 × 10 -2
A 8 = 0.0000.


実施例4
f=1.44
FNo.2.61
0 = ∞(物体面) d0 = 0.5000
1 = ∞ d1 = 1.0000 nd1 =1.51633 νd1 =64.06
2 = ∞ d2 = 9.9052
3 = ∞ (非球面) d3 = 0.7000 nd2 =1.52542 νd2 =55.78
4 = 1.7765(非球面) d4 = 5.3441
5 = ∞(絞り) d5 = 0.1557
6 = -1.2415(非球面) d6 = 1.2891 nd3 =1.52542 νd3 =55.78
7 = -1.1203(非球面) d7 = 0.1000
8 = 4.0153 d8 = 2.5616 nd4 =1.77250 νd4 =49.60
9 = -1.4957 d9 = 0.4000 nd5 =1.92286 νd5 =18.90
10= -3.2619 d10= 0.5000
11= ∞ d11= 0.6000 nd6 =1.51633 νd6 =64.06
12= ∞ d12= 0.5081
13= ∞(像面)
非球面係数
第3面
K = 0
4 = 2.4999 ×10-4
6 = 2.1410 ×10-6
8 = 0.0000
第4面
K = -0.9230
4 = -1.2303 ×10-2
6 = 1.2013 ×10-4
8 = 4.7406 ×10-6
第6面
K = 0
4 = -9.3040 ×10-2
6 = -1.3515 ×10-1
8 = 0.0000
第7面
K = -0.0940
4 = 1.2079 ×10-2
6 = 3.4421 ×10-2
8 = 0.0000 。

Example 4
f = 1.44
FNo. 2.61
r 0 = ∞ (object surface) d 0 = 0.5000
r 1 = ∞ d 1 = 1.0000 n d1 = 1.51633 ν d1 = 64.06
r 2 = ∞ d 2 = 9.9052
r 3 = ∞ (aspherical surface) d 3 = 0.7000 n d2 = 1.52542 ν d2 = 55.78
r 4 = 1.7765 (aspherical surface) d 4 = 5.3441
r 5 = ∞ (aperture) d 5 = 0.1557
r 6 = -1.2415 (aspherical surface) d 6 = 1.2891 n d3 = 1.52542 ν d3 = 55.78
r 7 = -1.1203 (aspherical surface) d 7 = 0.1000
r 8 = 4.0153 d 8 = 2.5616 n d4 = 1.77250 ν d4 = 49.60
r 9 = -1.4957 d 9 = 0.4000 n d5 = 1.92286 ν d5 = 18.90
r 10 = -3.2619 d 10 = 0.5000
r 11 = ∞ d 11 = 0.6000 n d6 = 1.51633 ν d6 = 64.06
r 12 = ∞ d 12 = 0.5081
r 13 = ∞ (image plane)
Aspheric coefficient 3rd surface K = 0
A 4 = 2.4999 × 10 -4
A 6 = 2.1410 × 10 -6
A 8 = 0.0000
4th surface K = -0.9230
A 4 = -1.2303 × 10 -2
A 6 = 1.2013 × 10 -4
A 8 = 4.7406 × 10 -6
6th surface K = 0
A 4 = -9.3040 × 10 -2
A 6 = -1.3515 × 10 -1
A 8 = 0.0000
Surface 7 K = -0.0940
A 4 = 1.2079 × 10 -2
A 6 = 3.4421 × 10 -2
A 8 = 0.0000.

以上の実施例1〜4の収差図をそれぞれ図6〜図9に示す。これらの収差図において、DZYは横収差、ASは非点収差、DTは歪曲収差、CCは倍率色収差を示す。各図中、“FIY”は像高を示す。また、λ=890nmは波長890nmでの収差を示す曲線である。   The aberration diagrams of Examples 1 to 4 are shown in FIGS. 6 to 9, respectively. In these aberration diagrams, DZY represents lateral aberration, AS represents astigmatism, DT represents distortion, and CC represents lateral chromatic aberration. In each figure, “FIY” indicates the image height. Further, λ = 890 nm is a curve showing aberration at a wavelength of 890 nm.

以上の本発明の撮像光学系は例えば次のように構成することができる。   The above imaging optical system of the present invention can be configured as follows, for example.

〔1〕 少なくとも1枚の正レンズからなる結像光学系と撮像素子を含み、前記結像光学系よりも物体側に、少なくとも1枚のフレネル光学素子が配置されていることを特徴とする撮像光学系。     [1] An imaging system including an imaging optical system including at least one positive lens and an imaging element, wherein at least one Fresnel optical element is disposed closer to the object side than the imaging optical system. Optical system.

〔2〕 前記の少なくとも1つのフレネル光学素子が正の屈折力を有することを特徴とする上記1記載の撮像光学系。     [2] The imaging optical system according to [1], wherein the at least one Fresnel optical element has a positive refractive power.

〔3〕 以下の条件(1)を満足することを特徴とする上記2記載の撮像光学系。     [3] The imaging optical system as described in 2 above, wherein the following condition (1) is satisfied.

(1) 0.05<LP /φP <1
ただし、LP はフレネル光学素子から結像光学系までの距離、φP はフレネル光学素子の有効直径である。
(1) 0.05 <L P / φ P <1
Where L P is the distance from the Fresnel optical element to the imaging optical system, and φ P is the effective diameter of the Fresnel optical element.

〔4〕 以下の条件(2)を満足することを特徴とする上記2記載の撮像光学系。     [4] The imaging optical system as described in 2 above, wherein the following condition (2) is satisfied.

(2) 0.01<f/fP <0.1
ただし、fは結像光学系の焦点距離、fP はフレネル光学素子の焦点距離である。
(2) 0.01 <f / f P <0.1
Here, f is the focal length of the imaging optical system, and f P is the focal length of the Fresnel optical element.

〔5〕 フレネル光学素子を1枚用い、該フレネル光学素子の両面がフレネル形状であることを特徴とする上記2記載の撮像光学系。     [5] The imaging optical system as described in 2 above, wherein one Fresnel optical element is used, and both surfaces of the Fresnel optical element have a Fresnel shape.

〔6〕 前記フレネル光学素子が以下の条件(3)を満足することを特徴とする上記5記載の撮像光学系。     [6] The imaging optical system as described in 5 above, wherein the Fresnel optical element satisfies the following condition (3).

(3) αj <βk
ただし、αj はフレネル光学素子の中心から周辺に向けて距離jにおける像側の面のエッジ角度、また、βk はフレネル光学素子の中心から周辺に向けて距離kにおける物体側の面のエッジ角度である。ここで、j,kは何れも半径の50%以上の距離で、0.9<k/j<1.1を満足する。
(3) α jk
Where α j is the edge angle of the image side surface at a distance j from the center to the periphery of the Fresnel optical element, and β k is the edge of the object side surface at a distance k from the center to the periphery of the Fresnel optical element. Is an angle. Here, j and k are distances of 50% or more of the radius and satisfy 0.9 <k / j <1.1.

〔7〕 以下の条件(4)を満足することを特徴とする上記2記載の撮像光学系。     [7] The imaging optical system as described in 2 above, wherein the following condition (4) is satisfied.

(4) 0<DP /f<5
ただし、DP はフレネル光学素子から物体までの距離、fは結像光学系の焦点距離である。
(4) 0 <D P / f <5
Where D P is the distance from the Fresnel optical element to the object, and f is the focal length of the imaging optical system.

〔8〕 前記結像光学系が、物体側より順に、少なくとも1枚の負レンズを有する負群と、少なくとも1枚の正レンズを有する正群で構成されていることを特徴とする上記1〜3の何れか1項記載の撮像光学系。     [8] The above-described imaging optical system includes the negative group having at least one negative lens and the positive group having at least one positive lens in order from the object side. 4. The imaging optical system according to any one of 3 above.

〔9〕 前記結像光学系の負群と正群の間に明るさ絞りが配置されていることを特徴とする上記8記載の撮像光学系。     [9] The imaging optical system according to [8], wherein an aperture stop is disposed between the negative group and the positive group of the imaging optical system.

〔10〕 前記結像光学系の負群に少なくとも1枚の非球面レンズを用い、該非球面レンズの少なくとも1つの面が光軸中心から周辺にかけて負の屈折力を弱める形状を持つことを特徴とする上記8記載の撮像光学系。     [10] At least one aspheric lens is used for the negative group of the imaging optical system, and at least one surface of the aspheric lens has a shape that weakens negative refractive power from the center to the periphery of the optical axis. 9. The imaging optical system according to 8 above.

〔11〕 前記結像光学系の正群に少なくとも1枚の非球面レンズを用い、該非球面レンズの少なくとも1つの面が光軸中心から周辺にかけて正の屈折力を弱める形状を持つことを特徴とする上記8記載の撮像光学系。     [11] The at least one aspheric lens is used for the positive group of the imaging optical system, and at least one surface of the aspheric lens has a shape that weakens the positive refractive power from the center to the periphery of the optical axis. 9. The imaging optical system according to 8 above.

本発明においてフレネル光学素子の両面をフレネル形状とした模式図である。It is the schematic diagram which made the both surfaces of the Fresnel optical element the Fresnel shape in this invention. 本発明の撮像光学系の実施例1の断面図(a)と結像光学系の断面図(b)である。1A is a cross-sectional view of a first embodiment of an imaging optical system according to the present invention, and FIG. 2B is a cross-sectional view of an imaging optical system. 本発明の撮像光学系の実施例2の断面図(a)と結像光学系の断面図(b)である。FIG. 6 is a cross-sectional view (a) of Embodiment 2 of the imaging optical system of the present invention and a cross-sectional view (b) of the imaging optical system. 本発明の撮像光学系の実施例3の結像光学系の断面図である。It is sectional drawing of the imaging optical system of Example 3 of the imaging optical system of this invention. 本発明の撮像光学系の実施例4の結像光学系の断面図である。It is sectional drawing of the imaging optical system of Example 4 of the imaging optical system of this invention. 実施例1の収差図である。FIG. 6 is an aberration diagram of Example 1. 実施例2の収差図である。FIG. 6 is an aberration diagram of Example 2. 実施例3の収差図である。FIG. 6 is an aberration diagram of Example 3. 実施例4の収差図である。FIG. 6 is an aberration diagram of Example 4. 実施例1〜4のフレネル光学素子の像側の輪帯状の屈折面のエッジ角度と物体側の輪帯状の屈折面のエッジ角度を示す図である。It is a figure which shows the edge angle of the ring-shaped refractive surface by the side of an image of the Fresnel optical element of Examples 1-4, and the edge angle of the ring-shaped refractive surface by the side of an object.

符号の説明Explanation of symbols

1…結像光学系
2…フレネル光学素子
3…物体面
DESCRIPTION OF SYMBOLS 1 ... Imaging optical system 2 ... Fresnel optical element 3 ... Object surface

Claims (3)

少なくとも1枚の正レンズからなる結像光学系と撮像素子を含み、前記結像光学系よりも物体側に、少なくとも1枚のフレネル光学素子が配置されていることを特徴とする撮像光学系。 An imaging optical system comprising an imaging optical system comprising at least one positive lens and an imaging element, wherein at least one Fresnel optical element is disposed closer to the object side than the imaging optical system. 前記の少なくとも1つのフレネル光学素子が正の屈折力を有することを特徴とする請求項1記載の撮像光学系。 The imaging optical system according to claim 1, wherein the at least one Fresnel optical element has a positive refractive power. 以下の条件(1)を満足することを特徴とする請求項2記載の撮像光学系。
(1) 0.05<LP /φP <1
ただし、LP は前記フレネル光学素子から前記結像光学系までの距離、φP は前記フレネル光学素子の有効直径である。
The imaging optical system according to claim 2, wherein the following condition (1) is satisfied.
(1) 0.05 <L P / φ P <1
Where L P is the distance from the Fresnel optical element to the imaging optical system, and φ P is the effective diameter of the Fresnel optical element.
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US11385440B2 (en) 2019-04-10 2022-07-12 Largan Precision Co., Ltd. Optical photographing lens assembly, fingerprint identification module and electronic device
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