JP4886409B2 - Optical component, imaging device, optical component design method, and optical component manufacturing method - Google Patents

Description

  The present invention relates to an optical component, an imaging device, an optical component design method, and an optical component manufacturing method, and more particularly, an optical component, an imaging device, and an optical component design each including an optical element and a holder holding the optical element. The present invention relates to a method and a method for manufacturing an optical component.

  2. Description of the Related Art In recent years, image pickup devices including image pickup elements such as CCD and CMOS have been widely used in home video cameras, mobile phone cameras, digital cameras, and the like, and further market growth is expected in the future.

  As such an imaging apparatus, after optical elements such as a lens, a diffraction grating, and a filter are press-fitted into a holder such as a barrel (barrel) or the like, the optical element is bonded and attached to the holder at the press-fitting position. Many are manufactured by forming and combining this optical component with an image sensor.

  Furthermore, in recent years, there is an increasing demand for higher performance in such an imaging apparatus, and optical elements mounted on such an imaging apparatus are also required to have better optical characteristics. became.

  In this type of optical component, various configurations for attaching the optical element to the holder with high precision so that the optical element has good optical characteristics have been disclosed (for example, see Patent Documents 1 to 4). ).

Japanese Patent Laid-Open No. 11-176744 (see, for example, paragraphs 0024, 0035, and FIGS. 2 and 8) Japanese Unexamined Patent Application Publication No. 2004-145183 (see, for example, paragraph 0039 and FIG. 2) Japanese Patent Laying-Open No. 2004-4566 (see, for example, paragraph 0048 and FIG. 2) JP-A-1-116506 (for example, the 9th to 16th lines from the upper left column of the second page, the 15th line from the upper left column of the third page to the 14th line from the upper right column of the third page) , See Fig. 1-3 etc.)

  However, although the optical components described in Patent Documents 1 to 4 are effective for positioning and attaching the optical element to the holder with high accuracy, when the optical element is press-fitted into the holder, the optical element is removed from the holder. A force directed mainly inward in the radial direction of the holder is applied, and this force causes a problem that the optical surface of the optical element is unexpectedly deformed to deteriorate the optical performance of the optical element.

  In order to prevent such deformation of the optical surface due to the press-fitting of the optical element into the holder, for example, the holder is positioned after the lens is positioned so that the position of the optical axis of the laser beam transmitted through the lens is a predetermined position. Although it is conceivable to attach the optical element to the holder by a method other than press-fitting such as active alignment attached to the holder, in this case, another problem such as a complicated assembly process and a high cost of the product arises.

  Therefore, the present invention has been made in view of such points, and an optical component, an imaging device, and an imaging device that are suitable for mass production that can reliably prevent deterioration of optical characteristics of an optical element during assembly at low cost. An object of the present invention is to provide an optical component designing method and an optical component manufacturing method.

但し、
Ｚ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の光軸方向の座標を示す一般式（但し、ｍ（１〜ｎまでの自然数）が４次以上の偶数の場合には偶数次非球面式）
Ｘ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の径方向の座標
Ｒ：原型光学素子のホルダへの圧入前における原型光学素子の光学面の中心曲率半径
Ｋ：円錐係数（以下、同様）
Ａ_ｍ：（１）式におけるｍ次の非球面係数
とし、前記原型光学素子の光学面が前記原型光学素子の前記ホルダへの圧入後において満足する式を次の（２）式、

但し、
Ｚ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の光軸方向の座標を示す数式
Ｘ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の径方向の座標
α：原型光学素子のホルダへの圧入後における原型光学素子の光学面の有効半径をｒ（以下、同様）、原型光学素子のホルダへの圧入による原型光学素子の光学面の有効半径の変化量をΔＸとした場合に、ΔＸ／ｒによって表される値（以下、同様）
β：原型光学素子のホルダへの圧入による原型光学素子の光学面の光学有効領域における外周端部上の点の光軸方向への変化量をΔＰＶとした場合に、ΔＰＶ／ｒによって表される値（以下、同様）
Ｒ’：Ｒ（１＋β）／（１−α）^２によって表される値
Ａ_ｍ’：｛（１−α）^ｍ／（１＋β）｝Ａ_ｍによって表される値（但し、ｍは、１〜ｎまでの自然数）
とした場合に、次の（３）式、

但し、
Ｚ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を示す数式
Ｘ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を規定する径方向の座標
Ｒ”：Ｒ（１−２β）／（１−α）^２によって表される値
Ａ_ｍ”：｛（１−α）^ｍ／（１−２β）｝Ａ_ｍによって表される値（但し、ｍは、１〜ｎまでの自然数）
を満足する金型に対応した形状に形成されている点にある。 In order to achieve the aforementioned object, the optical component according to claim 1 of the present invention includes an optical element having a cylindrical outer peripheral surface surrounding the optical surface and the optical surface formed in a curved surface, the optical element A holder which is press-fitted and held, and the optical surface of the optical element before the press-fitting of the optical element into the holder is expected to be deformed by the press-fitting into the holder. The element has a desired optical characteristic after press-fitting into the holder, and is identical to the ideal shape of the optical surface of the optical element after press-fitting into the holder before press-fitting into the holder The following expression (1) is satisfied that the optical surface of the original optical element, which is an optical element used for designing the optical element having an optical surface that has a shape, is satisfied before the original optical element is pressed into the holder. ,

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder R: central radius of curvature of the optical surface of the original optical element before press-fitting into the holder of the original optical element K: Conic coefficient (hereinafter the same)
A _m : m-order aspherical coefficient in the equation (1), and the equation that the optical surface of the prototype optical element is satisfied after the original optical element is pressed into the holder is expressed by the following equation (2):

However,
Z ′: a mathematical expression indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after press-fitting the original optical element into the holder X ′: of the original optical element after press-fitting the original optical element into the holder Radial coordinates of an arbitrary point on the optical surface α: r is the effective radius of the optical surface of the original optical element after press-fitting the original optical element into the holder (hereinafter the same), and press-fitting the original optical element into the holder A value represented by ΔX / r when the amount of change in the effective radius of the optical surface of the prototype optical element is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ': R (1 + β ) / (1-α) values A _m is represented by ^{2': {(1-α} ) m / (1 + β)} value represented by _{A m} (where, m is 1 natural numbers up to n)
If the following equation (3),

However,
Z ″: Formula indicating the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder X ″: Mold of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder Radial coordinates that define the shape R ″: value represented by R (1-2β) / (1-α) ² A _m ″: {(1-α) ^m / (1-2β)} A _m Value represented (where m is a natural number from 1 to n)
It is in the point corresponding to the metal mold | die which satisfy | fills.

According to the first aspect of the present invention, the shape of the optical surface of the optical element before press-fitting the optical element into the holder is expected to satisfy the expression (3) in anticipation of deformation of the optical element due to press-fitting into the holder in advance. The optical element deformed by press-fitting the optical element into the holder only by being formed into a shape corresponding to the mold to be held, and the optical element held by being pressed into the holder has desired optical characteristics It is possible to achieve an ideal shape that can

Furthermore, the optical component according to claim 2 is characterized in that, in claim 1 , α and β in the expressions (2) and (3) are values obtained based on actual measurement or structural analysis. is there.

According to the invention of claim 2 , based on actual measurement or structural analysis, the shape of the optical surface before press-fitting the optical element into the holder is changed to an ideal shape after press-fitting the optical element into the holder. It becomes possible to form in such a shape.

The optical component according to claim 3 is characterized in that, in claim 1 or 2 , the outer peripheral surface of the optical element has a non-contact portion with the inner peripheral surface of the holder.

And, according to the invention according to claim 3 , also for the optical element having a non-contact portion with the holder, only by forming the optical element in a shape that anticipates deformation of the optical element due to press-fitting into the holder in advance, The optical element pressed and held in the holder can have desired optical characteristics.

Furthermore, the optical component according to claim 4 is characterized in that, in any one of claims 1 to 3 , the optical surface of the optical element is formed in a rotationally symmetric shape with respect to the optical axis of the optical element. In the point.

According to the fourth aspect of the present invention, the optical surface is formed into a shape that allows easy estimation of the amount of deformation of the optical surface due to the press-fitting of the optical element into the holder. An optical element having optical characteristics can be more easily manufactured.

Furthermore, the optical component according to claim 5 is characterized in that, in any one of claims 1 to 4 , a plurality of optical elements separate from the holder are held in the holder. It is in.

According to the fifth aspect of the present invention, even when a plurality of optical elements are held in the holder, the optical elements are formed in a shape that anticipates deformation of the optical elements by press-fitting into the holder in advance. By this, the optical element press-fitted and held in the holder can have desired optical characteristics.

The optical component according to claim 6 is characterized in that, in claim 5 , any optical element is press-fitted and held in a holder integrally formed with another optical element.

According to the sixth aspect of the present invention, even if an arbitrary optical element is press-fitted and held in a holder integrally formed with another optical element, any optical element obtained by press-fitting into the holder in advance. By simply forming an arbitrary optical element in a shape that allows for the deformation of the element, it becomes possible for the arbitrary optical element that is press-fitted into the holder to have desired optical characteristics.

Furthermore, the imaging device according to a seventh aspect is characterized in that the optical component according to any one of the first to sixth aspects and an imaging element that converts light into an electrical signal are provided.

According to the seventh aspect of the present invention, it is possible to appropriately obtain an image of an object by combining an optical element having an optical element whose desired optical characteristics are held by being pressed into a holder with an imaging element. It becomes.

但し、
Ｚ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の光軸方向の座標を示す一般式（但し、ｍ（１〜ｎまでの自然数）が４次以上の偶数の場合には偶数次非球面式）
Ｘ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の径方向の座標
Ｒ：原型光学素子のホルダへの圧入前における原型光学素子の光学面の中心曲率半径
Ｋ：円錐係数（以下、同様）
Ａ _ｍ ：（１）式におけるｍ次の非球面係数
とし、前記原型光学素子の光学面が前記原型光学素子の前記ホルダへの圧入後において満足する式を次の（２）式、

但し、
Ｚ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の光軸方向の座標を示す数式
Ｘ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の径方向の座標
α：原型光学素子のホルダへの圧入後における原型光学素子の光学面の有効半径をｒ（以下、同様）、原型光学素子のホルダへの圧入による原型光学素子の光学面の有効半径の変化量をΔＸとした場合に、ΔＸ／ｒによって表される値（以下、同様）
β：原型光学素子のホルダへの圧入による原型光学素子の光学面の光学有効領域における外周端部上の点の光軸方向への変化量をΔＰＶとした場合に、ΔＰＶ／ｒによって表される値（以下、同様）
Ｒ’：Ｒ（１＋β）／（１−α） ^２ によって表される値
Ａ _ｍ ’：｛（１−α） ^ｍ ／（１＋β）｝Ａ _ｍ によって表される値（但し、ｍは、１〜ｎまでの自然数）
とした場合に、次の（３）式、

但し、
Ｚ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を示す数式
Ｘ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を規定する径方向の座標
Ｒ”：Ｒ（１−２β）／（１−α） ^２ によって表される値
Ａ _ｍ ”：｛（１−α） ^ｍ ／（１−２β）｝Ａ _ｍ によって表される値（但し、ｍは、１〜ｎまでの自然数）
を満足する金型に対応した形状に設計する点にある。 Furthermore, the optical component design method according to claim 8 is characterized in that an optical element having an optical surface formed in a curved surface and a cylindrical outer peripheral surface surrounding the optical surface, and the optical element are press-fitted and held. When designing an optical component with a holder,
Wherein the shape of the optical surface of the optical element before press-fitting to the holder of the optical element, desired optical after press-fitting of the optical element on which anticipation of deformation of the optical element by press-fitting to the holder to the holder A shape having characteristics ,
A prototype that is an optical element used for designing the optical element having an optical surface that has the same shape before press-fitting into the holder with respect to the ideal shape of the optical surface of the optical element after press-fitting into the holder The following equation (1) is satisfied that the optical surface of the optical element is satisfied before the original optical element is pressed into the holder:

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder
R: Center radius of curvature of the optical surface of the original optical element before press-fitting the original optical element into the holder
K: Conic coefficient (hereinafter the same)
A _m : m-order aspheric coefficient in equation (1)
And the following equation (2) is satisfied that the optical surface of the original optical element is satisfied after the original optical element is pressed into the holder:

However,
Z ′: a mathematical formula indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
X ′: radial coordinate of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
α: The effective radius of the optical surface of the original optical element after being pressed into the holder of the original optical element is r (hereinafter the same), and the amount of change in the effective radius of the optical surface of the original optical element due to the press-fitting of the original optical element into the holder Is represented by ΔX / r, where ΔX is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ′: a value represented by R (1 + β) / (1-α) ²
A _m ': the value represented by ^{{(1-α) m /} (1 + β)} A m ( where, m is a natural number up to 1 to n)
If the following equation (3),

However,
Z ″: a mathematical formula showing the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
X ″: radial coordinate defining the shape of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
R ″: a value represented by R (1-2β) / (1-α) ²
A _m ″: {(1-α) ^m / (1-2β)} A _m (where m is a natural number from 1 to n)
It is in the point of designing to the shape corresponding to the mold satisfying the above.

According to the eighth aspect of the present invention, the shape of the optical surface of the optical element before press-fitting into the holder is preliminarily expected to be deformed by the press-fitting into the holder, and the mold satisfying the expression (3) is satisfied. It is possible to design an optical component in which an optical element deformed by press-fitting into a holder has desired optical characteristics only by designing the shape corresponding to the above .

但し、
Ｚ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の光軸方向の座標を示す一般式（但し、ｍ（１〜ｎまでの自然数）が４次以上の偶数の場合には偶数次非球面式）
Ｘ：原型光学素子のホルダへの圧入前における原型光学素子の光学面上の任意の点の径方向の座標
Ｒ：原型光学素子のホルダへの圧入前における原型光学素子の光学面の中心曲率半径
Ｋ：円錐係数（以下、同様）
Ａ _ｍ ：（１）式におけるｍ次の非球面係数
とし、前記原型光学素子の光学面が前記原型光学素子の前記ホルダへの圧入後において満足する式を次の（２）式、

但し、
Ｚ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の光軸方向の座標を示す数式
Ｘ’：原型光学素子のホルダへの圧入後における原型光学素子の光学面上の任意の点の径方向の座標
α：原型光学素子のホルダへの圧入後における原型光学素子の光学面の有効半径をｒ（以下、同様）、原型光学素子のホルダへの圧入による原型光学素子の光学面の有効半径の変化量をΔＸとした場合に、ΔＸ／ｒによって表される値（以下、同様）
β：原型光学素子のホルダへの圧入による原型光学素子の光学面の光学有効領域における外周端部上の点の光軸方向への変化量をΔＰＶとした場合に、ΔＰＶ／ｒによって表される値（以下、同様）
Ｒ’：Ｒ（１＋β）／（１−α） ^２ によって表される値
Ａ _ｍ ’：｛（１−α） ^ｍ ／（１＋β）｝Ａ _ｍ によって表される値（但し、ｍは、１〜ｎまでの自然数）
とした場合に、次の（３）式、

但し、
Ｚ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を示す数式
Ｘ”：光学素子のホルダへの圧入前における光学素子の光学面を成形する金型の形状を規定する径方向の座標
Ｒ”：Ｒ（１−２β）／（１−α） ^２ によって表される値
Ａ _ｍ ”：｛（１−α） ^ｍ ／（１−２β）｝Ａ _ｍ によって表される値（但し、ｍは、１〜ｎまでの自然数）
を満足する金型によって形成し、このような形状に形成された前記光学素子を、前記ホルダに圧入して取り付けることによって前記光学部品を製造する点にある。 Furthermore, features of the method of manufacturing the optical equipment according to claim 9, Ru is held the optical element having a cylindrical outer peripheral surface of the surrounding a curved an optical surface and the optical surface optical element is press-fitted When manufacturing an optical component with a holder,
Wherein the shape of the optical surface of the optical element before press-fitting to the holder of the optical element, desired optical after press-fitting of the optical element on which anticipation of deformation of the optical element by press-fitting to the holder to the holder Formed into a shape that has characteristics, such a shape,
A prototype that is an optical element used for designing the optical element having an optical surface that has the same shape before press-fitting into the holder with respect to the ideal shape of the optical surface of the optical element after press-fitting into the holder The following equation (1) is satisfied that the optical surface of the optical element is satisfied before the original optical element is pressed into the holder:

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder
R: Center radius of curvature of the optical surface of the original optical element before press-fitting the original optical element into the holder
K: Conic coefficient (hereinafter the same)
A _m : m-order aspheric coefficient in equation (1)
And the following equation (2) is satisfied that the optical surface of the original optical element is satisfied after the original optical element is pressed into the holder:

However,
Z ′: a mathematical formula indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
X ′: radial coordinate of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
α: The effective radius of the optical surface of the original optical element after being pressed into the holder of the original optical element is r (hereinafter the same), and the amount of change in the effective radius of the optical surface of the original optical element due to the press-fitting of the original optical element into the holder Is represented by ΔX / r, where ΔX is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ′: a value represented by R (1 + β) / (1-α) ²
A _m ': the value represented by ^{{(1-α) m /} (1 + β)} A m ( where, m is a natural number up to 1 to n)
If the following equation (3),

However,
Z ″: a mathematical formula showing the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
X ″: radial coordinate defining the shape of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
R ″: a value represented by R (1-2β) / (1-α) ²
A _m ″: {(1-α) ^m / (1-2β)} A _m (where m is a natural number from 1 to n)
The optical component is manufactured by press-fitting and attaching the optical element formed in such a shape to the holder.

According to the ninth aspect of the present invention, the shape of the optical surface of the optical element before press-fitting into the holder is preliminarily expected to be deformed by press-fitting into the holder, and the mold satisfying formula (3) is satisfied. just be formed by an optical element has been deformed by press-fitting to the holder it is possible to manufacture the optical component having the desired optical properties.

  According to the present invention, it is possible to reliably prevent the optical characteristics of the optical element from degrading at the time of assembly at low cost, and to improve mass productivity. Such an effect is obtained by determining the deformation amount of the optical surface due to the press-fitting of the optical element into the holder by actual measurement or structural analysis, and based on the obtained deformation amount, the optical surface after the press-fitting of the optical element into the holder. It is possible to make it more remarkable by obtaining a mold shape in which the shape becomes an ideal shape. Furthermore, such an effect is also achieved when an optical element having a rotationally symmetric optical surface, an optical element having a non-contact portion with the holder, or a plurality of optical elements is used as the optical element. be able to.

  Hereinafter, an embodiment of the present invention will be described with reference to FIGS.

  As shown to Fig.1 (a), the optical component 1 in this embodiment has the holder 2, and this holder 2 is the cylindrical outer peripheral wall part 2a, and the inner peripheral surface of this outer peripheral wall part 2a. And an annular annular wall portion 2b extending inwardly from the end portion on the object side (the lower end portion in FIG. 1A).

  In the holder 2, a first lens 3 and a second lens 5 as optical elements are disposed in order from the object side to the image plane side (upward in FIG. 1A). 5 is formed of a shape or resin material that is more easily deformed than the holder 2, for example, a resin material having low hardness.

  The first lens 3 includes an optical function portion 6, an annular flange portion 7 formed integrally with the optical function portion 6 outside the optical function portion 6, and an image at an outer peripheral edge portion of the flange portion 7. A cylindrical second lens holder 10 extending from the surface side surface along the optical axis 8 toward the second lens 5 side. A planar circular aspherical first lens surface 11 as an optical surface is provided on the object side in the optical function unit 6, and a planar circular aspherical surface as an optical surface is provided on the image surface side in the optical function unit 6. Second lens surfaces 12 are respectively formed.

  The first lens 3 brings the end surface on the object side of the flange portion 7 into contact with the end surface on the image surface side of the annular wall portion 2b, and the outer peripheral surfaces of the flange portion 7 and the second lens holder 10 are connected to the outer peripheral wall portion 2a. The holder 2 is press-fitted so as to be in contact with the inner peripheral surface. Further, the first lens 3 is held by being bonded to the holder 2 through an adhesive (not shown) such as an ultraviolet curable resin disposed at the contact position of the first lens 3 with the holder 2 at the press-fitting position in the holder 2. Has been.

  On the other hand, the second lens 5 has an optical function part 14 and a flange part 15 formed integrally with the optical function part 14 outside the optical function part 14. A planar circular aspherical first lens surface 16 as an optical surface is provided on the object side of the optical function unit 14, and a planar circular aspherical surface as an optical surface is provided on the image surface side of the optical function unit 14. Second lens surfaces 17 are respectively formed. The flange portion 15 is formed in a two-stage annular shape in which the outer diameter of the object-side half portion 15a is smaller than the outer diameter of the image-side half portion 15b. The second lens 5 has the object-side end surface of the object-side half portion 15a of the flange portion 15 in contact with the image-side end surface of the flange portion 7 of the first lens 3, and the object-side end surface of the flange portion 15 The outer peripheral surface of the half portion 15 a is brought into contact with the inner peripheral surface of the second lens holder 10, and the end surface on the object side of the half portion 15 b on the image plane side in the flange portion 15 is the end surface on the image plane side of the second lens holder 10. Is pressed into the second lens holder 10. Further, the second lens 5 is inserted into the second lens holder 10 via an adhesive (not shown) such as an ultraviolet curable resin disposed at the contact position of the second lens 5 with the second lens holder 10 at the press-fitting position. Two lens holders 10 are bonded and held.

  In the present embodiment, the shape of the first lens 3 before press-fitting into the holder 2 allows for deformation of the first lens 3 due to press-fitting into the holder 2, and then the first lens 3 is inserted into the holder 2. It is formed in a shape having desired optical characteristics after press-fitting.

  Furthermore, in the present embodiment, the shape of the second lens 5 before press-fitting into the second lens holder 10 allows for the deformation of the second lens 5 due to press-fitting into the second lens holder 10, and then the second lens. 5 is formed into a shape having desired optical characteristics after being press-fitted into the second lens holder 10 (hereinafter abbreviated as “holder 10” as necessary).

  More specifically, in the present embodiment, the shape of the lens surfaces 11, 12, 16, 17 before the press-fitting of the lenses 3, 5 into the holders 2, 10 is the same as that of the lens 3 by press-fitting into the holders 2, 10, In consideration of the deformation of 5, by using a mold designed as shown below, it is formed into a shape obtained by correcting the shape of the prototype that is the basis of the design of the lenses 3 and 5 of the present invention. Yes.

  That is, when designing the mold, a prototype lens as a prototype optical element is used. As shown in FIG. 2, the prototype lens is a prototype with respect to the ideal shape of the lens surfaces 11, 12, 16, 17 after the lenses 3, 5 are pressed into the holders 2, 10 (state of FIG. 1). The lens surface (the original lens surface before press-fitting in FIG. 2) has the same shape before press-fitting the lens into the holders 2 and 10.

但し、（１）式におけるＺは、原型レンズのホルダ２、１０への圧入前における原型レンズのレンズ面上の任意の点の光軸方向の座標を示す非球面式である。この光軸方向の座標は、原型レンズのレンズ面と光軸との交点を原点とし、像面側から物体側に向かう方向を正としている。また、（１）式におけるＸは、原型レンズのホルダ２、１０への圧入前における原型レンズのレンズ面上の任意の点の径方向の座標である。この径方向の座標は、原型レンズのレンズ面と光軸との交点を原点とし、径方向における外側に向かう方向を正としている。さらに、（１）式におけるＲは、原型レンズのホルダ２、１０への圧入前における原型レンズのレンズ面の中心曲率半径である。さらにまた、（１）式におけるＫは、円錐係数である。また、（１）式におけるＡ_ｍは、（１）式におけるｍ次の非球面係数（但し、ｍは、１〜ｎ（ｎは、任意の自然数）までの自然数）である。（１）式におけるΣの項は、Ａ_１Ｘ＋Ａ_２Ｘ^２＋・・・＋Ａ_ｎＸ^ｎと表され、ｍが４以上の偶数の場合には、（１）式は偶数次非球面式を示す。 The lens surface of this prototype lens satisfies the following expression (1) before press-fitting the prototype lens into the holders 2 and 10.

However, Z in the equation (1) is an aspherical equation indicating coordinates in the optical axis direction of an arbitrary point on the lens surface of the original lens before press-fitting the original lens into the holders 2 and 10. The coordinates in the direction of the optical axis are such that the intersection point between the lens surface of the prototype lens and the optical axis is the origin, and the direction from the image plane side to the object side is positive. Further, X in the expression (1) is a radial coordinate of an arbitrary point on the lens surface of the original lens before the original lens is pressed into the holders 2 and 10. In the radial coordinate, the intersection point between the lens surface of the prototype lens and the optical axis is the origin, and the outward direction in the radial direction is positive. Further, R in the expression (1) is a central radius of curvature of the lens surface of the original lens before being pressed into the holders 2 and 10 of the original lens. Furthermore, K in the equation (1) is a cone coefficient. Also, the _{A m} in (1), a (1) m order aspherical coefficient in equation (where, m is 1 to n (n is a natural number to an arbitrary natural number)). The term Σ in the equation (1) is expressed as A ₁ X + A ₂ X ² +... + A _n X ⁿ . When m is an even number of 4 or more, the equation (1) is an even-order aspheric equation. Show.

  With respect to the prototype lens satisfying the expression (1), first, the amount of change ΔX of the effective radius (radius of the optical effective region) of the lens surface of the prototype lens by press-fitting the prototype lens into the holders 2 and 10 (FIG. 2).

  Here, if the lens having no flange portion is designed, the value of ΔX is the radius of the original lens before press-fitting into the holders 2 and 10, that is, the radius of the lens surface of the original lens, It can be uniquely determined by regarding the difference from the radius.

  Furthermore, even in the case of the present embodiment in which the lenses 3 and 5 having the flange portions 7 and 15 as shown in FIG. 1A are designed, ΔX is the value before press-fitting into the holders 2 and 10. By taking the difference between the radius L of the flange portion of the prototype lens (see FIG. 2) and the inner radius of the holders 2 and 10, the amount of change ΔX ′ of the radius of the flange portion of the prototype lens due to press-fitting into the holders 2 and 10 can be obtained. After obtaining, this ΔX ′ can be uniquely obtained. That is, when designing the lenses 3 and 5 having the flange portions 7 and 15, the effective radius r of the lens surface of the original lens after being pressed into the holders 2 and 10 is also used between ΔX and ΔX ′. Since the relational expression of L: ΔX ′ = r + ΔX: ΔX is established, the value of ΔX can be obtained more accurately as ΔX = ΔX ′ · r / (L−ΔX ′). When the lens to be designed has a flange portion 15 having a two-stage structure like the second lens 5 described above, the value of L is the value before press-fitting for the portion 15 a to be press-fitted into the holder 10. It can be regarded as a radius. As the value of r, the radius of the holders 2 and 10 can be used as long as the deformation of the holders 2 and 10 due to the press-fitting of the original lens can be ignored.

Next, a change amount α of the shape per unit length in the radial direction of the lens surface of the original lens due to the press-fitting into the holders 2 and 10 is obtained. The value of α indicates the expected amount of deformation of the lenses 3 and 5 due to the press-fitting into the holders 2 and 10, and can be obtained by the following equation (4).
α = ΔX / r (4)

Next, as a ratio between the amount of change ΔPV in the optical axis direction of an arbitrary point on the outer peripheral edge of the lens surface of the prototype lens by press-fitting into the holders 2 and 10 of the prototype lens and r described above Then, a value β shown in the following equation (5) is obtained. Note that the value of β indicates the expected amount of deformation of the lenses 3 and 5 due to press-fitting into the holders 2 and 10 together with the value of α.
β = ΔPV / r (5)

  Here, the value of ΔPV in the equation (5) can be obtained by actual measurement, for example, by actually creating the prototype lens and the holders 2 and 10 and actually press-fitting the created prototype lenses into the holders 2 and 10. it can. Furthermore, the value of ΔPV can be obtained without actual measurement by performing a structural analysis simulation using ΔX. In this structural analysis simulation, for example, the prototype lens is considered as an assembly of many micro three-dimensional shapes, and the amount of change in each micro three-dimensional shape in the optical axis direction due to the press fitting of the prototype lenses into the holders 2 and 10 is predicted. Then, ΔPV is obtained by accumulating the prediction results.

Next, in order to define the shape of the lens surface of the original lens after press-fitting the original lens into the holders 2 and 10 from the expressions (4) and (5), first, the following expressions (6) and (7) Coordinate conversion shown in the equation is performed.
X = X′−αX ′ (6)
Z = Z ′ + βZ ′ (7)
However, X ′ in the expression (6) is a radial coordinate of an arbitrary point on the lens surface of the original lens after the original lens is pressed into the holders 2 and 10. In the radial coordinate, the intersection point between the lens surface of the original lens and the optical axis after press-fitting into the holders 2 and 10 is the origin, and the outward direction in the radial direction is positive. In addition, Z ′ in the equation (7) is a coordinate in an optical axis direction of an arbitrary point on the lens surface of the original lens after the original lens is pressed into the holders 2 and 10, and the value of Z ′ is the original value. This is the value of the curved surface representing the lens surface of the original lens after the lens is pressed into the holders 2 and 10. The coordinate Z ′ in the optical axis direction has an origin at the intersection of the lens surface of the original lens after press-fitting into the holders 2 and 10 and the optical axis, and is positive in the direction from the image plane side to the object side. Depending on the shape (concave or convex) of the lens surface of the prototype lens, the direction of deformation of the lens surface due to press fitting varies. Specifically, equation (7) shows the deformation of the lens surface due to press fitting when the lens surface of the prototype lens is a convex surface, and Z = Z ′ when the lens surface of the prototype lens is a concave surface. It is necessary to set −βZ ′.

但し、（２）式におけるＲ’は、Ｒ（１＋β）／（１−α）^２によって表される値である。また、（２）式におけるＡ_ｍ’は、｛（１−α）^ｍ／（１＋β）｝Ａ_ｍによって表される値（但し、ｍは、１〜ｎまでの自然数）である。 Then, by substituting the right sides of the expressions (6) and (7) into the expression (1), respectively, the lens surface of the original lens after the original lens is pressed into the holders 2 and 10 (the original mold after press-fitting in FIG. 2). The following equation (2) is obtained as an equation indicating the shape of the lens surface.

However, R ′ in the formula (2) is a value represented by R (1 + β) / (1−α) ² . In addition, A _m ′ in the formula (2) is a value represented by {(1−α) ^m / (1 + β)} A _m (where m is a natural number from 1 to n).

Next, a lens surface that has an ideal shape after being press-fitted into the holders 2 and 10 after allowing for deformation of the lens surface of the original lens due to the press-fitting into the holders 2 and 10 as shown in the expression (2). In order to define the shape of the mold for molding the lenses 3 and 5 of the present embodiment having 11, 12, 16, and 17, first, coordinate conversion shown in the following equations (8) and (9) is performed.
X = X ″ −αX ″ (8)
Z = Z ″ −2βZ ″ (9)
However, X ″ in the equation (8) is a diameter that defines the shape of a mold for molding the lens surfaces 11, 12, 16, and 17 of the lenses 3 and 5 before press-fitting the lenses 3 and 5 into the holders 2 and 10. More specifically, it is a coordinate in the radial direction of an arbitrary point on the surface of the lens piece used for molding the lens surfaces 11, 12, 16, and 17 in the mold. The center point of the surface of the lens piece in the mold is the origin, and the direction from the origin to the outside in the radial direction of the cavity is positive. Z ″ in equation (9) is the holder 2 of the lenses 3 and 5. 10 is a coordinate in the optical axis direction of an arbitrary point on the surface of the lens piece in the mold for molding the lens surfaces 11, 12, 16, and 17 of the lenses 3 and 5 before press-fitting into the lens 10, and the value of Z ″ is , The value of the curved surface showing the shape of the mold The coordinate Z ″ in the optical axis direction takes the center point of the surface of the lens piece in the mold as the origin, and extends from the origin to the inside of the cavity (ie, the prototype lens) along the thickness direction of the cavity (ie, the optical axis direction of the prototype lens). The direction toward the side is positive. If the lens surface of the original lens is concave, Z = Z ″ + 2βZ ′ needs to be satisfied.

但し、（３）式におけるＲ”は、Ｒ（１−２β）／（１−α）^２によって表される値である。また、（３）式におけるＡ_ｍ”は、｛（１−α）^ｍ／（１−２β）｝Ａ_ｍ（但し、ｍは、１〜ｎまでの自然数）によって表される値である。 Then, by substituting the right sides of the equations (8) and (9) into the equations (1), respectively, the lens surfaces 11, 12, 16, and 17 of the lenses 3 and 5 before press-fitting into the holders 2 and 10 can be obtained. The following equation (3) is obtained as an aspheric equation indicating the shape of the mold to be molded, that is, the lens piece (mold shape in FIG. 2).

However, R ″ in the equation (3) is a value represented by R (1-2β) / (1-α) ^2. Also, A _m ″ in the equation (3) is {(1-α) ^m / (1-2β)} A _m (where m is a natural number from 1 to n).

  This equation (3) can be considered as a result of 2β correction only in the optical axis direction of the aspherical equation (2) after deformation due to press-fitting, considering deformation due to press-fitting into the lens holder.

  As shown in FIG. 2, the lenses 3, 5 molded using the mold thus designed have ideal lens surfaces 11, 12, 16, 17 after being pressed into the holders 2, 10. Therefore, good optical characteristics can be exhibited.

  Then, an image pickup device according to the present embodiment is manufactured by disposing an image pickup device (not shown) such as a CCD or a CMOS on the image plane side of the optical component 1 having such lenses 3 and 5. In this imaging apparatus, when the lenses 3 and 5 exhibit good optical characteristics, a high-quality captured image can be obtained by appropriately forming an image of an object on the imaging surface.

  In FIG. 1B, as a modification of the optical component 1 shown in FIG. 1A, both the first lens 3 and the second lens 5 are mounted on a holder 2 separate from the lenses 3 and 5. An optical component 1 that is press-fitted and held is shown. In the optical component 1 of FIG. 1B, the same reference numerals as those of the optical component 1 of FIG. 1A are assigned to the same configurations as those of the optical component 1 of FIG. Even in the optical component 1 shown in FIG. 1B, the lens surfaces 11, 12, 16, and 17 using mold shapes satisfying the expression (3) as in the optical component 1 shown in FIG. By performing this molding, the lens surfaces 11, 12, 16, and 17 can have an ideal shape after press-fitting into the holder 2, and good optical characteristics can be exhibited.

  Next, examples of the present invention will be described.

<First embodiment>
In the first embodiment, before press-fitting into the holder, the diameter is 3.0 mm, the diameter of the lens surface is 1.88 mm, the diameter of the optical effective area (twice the effective radius) is 1.8 mm, and the center thickness is 0. A mold is designed by using a prototype lens having a convex surface (aspheric surface) with a lens surface of .620 mm and a flange portion thickness of 0.637 mm.

  As shown in FIG. 3, in the prototype lens of the first example, the press-fitting shape (mm) corresponding to ΔX ′ and the surface accuracy variation (μm) corresponding to ΔPV are estimated based on actual measurement and actual measurement. It has a linear relationship as shown by the broken line in FIG. In FIG. 3, the broken line indicates a relationship that does not pass through the origins of the coordinates of ΔPV and ΔX ′, but this is based on a measurement error in actual measurement. However, a straight line passing through the origin may be approximately drawn based on the actually measured value of ΔPV corresponding to ΔX ′, and the straight line may be used as an approximate linear relationship between ΔX ′ and ΔPV.

  When the press-fitting shape ΔX ′ is determined based on the difference between the radius of the original lens and the inner radius of the holder, the surface accuracy change ΔPV corresponding to the determined press-fitting shape ΔX ′ is obtained from FIG. For example, when designing a lens having a press-fit shape ΔX ′ = 0.004 mm, 0.93 μm can be obtained as the value of the surface accuracy variation ΔPV.

  Then, α and β are obtained using the determined press-fit shape ΔX ′ and the surface accuracy variation ΔPV obtained from FIG. 3, and the equation (2) is obtained using the obtained α and β. Predict the change in the shape of the lens surface after the original lens is pressed into the lens.

  Then, in anticipation of the predicted change in shape, the amount of change in surface accuracy ΔPV = 0.93 μm can be offset by obtaining the expression (3) by correcting the expression (2) by 2β in the optical axis direction. The mold shape of the invention can be obtained.

<Second embodiment>
In the second embodiment, before press-fitting into the holder, the diameter is 2.8 mm, the lens surface diameter is 1.44 mm, the optical effective area diameter is 1.35 mm, the center thickness is 0.570 mm, and the flange portion thickness is The mold is designed using a prototype lens having a concave (aspherical) lens surface with a length of 0.464 mm.

  As shown in FIG. 4, in the prototype lens of the second example, the press-fitting shape (mm) corresponding to ΔX ′ and the surface accuracy variation (μm) corresponding to ΔPV are estimated based on actual measurement and actual measurement. It has a linear relationship as shown by the broken line in FIG.

  When the press-fitting shape ΔX ′ is determined based on the difference between the radius of the original lens and the inner radius of the holder, the surface accuracy variation ΔPV corresponding to the determined press-fitting shape ΔX ′ is obtained from FIG. For example, when designing a lens having a press-fit shape ΔX ′ = 0.002 mm, 0.27 μm can be obtained as the value of the surface accuracy change amount ΔPV.

  Then, α and β are obtained using the determined press-fit shape ΔX ′ and the surface accuracy variation ΔPV obtained from FIG. 4, and the equation (2) is obtained using the obtained α and β. Predict the change in the shape of the lens surface after the original lens is pressed into the lens.

  Then, in anticipation of the predicted change in shape, the equation (2) is corrected by 2β in the optical axis direction to obtain the equation (3), whereby the surface accuracy variation ΔPV = 0.27 μm can be offset. The mold shape of the invention can be obtained.

<Third embodiment>
In the third embodiment, before press-fitting into the holder, the diameter is 2.8 mm, the diameter of the lens surface and the diameter of the optical effective area is 1.36 mm, the center thickness is 0.57 mm, and the flange portion has a thickness of 0.46 mm. A prototype lens made of cycloolefin resin having a convex lens surface is assumed, and a mold is designed using this prototype lens.

  As shown in FIG. 5, the prototype lens of the third example has a press-fit shape (mm) corresponding to ΔX ′ and a surface accuracy variation (μm) corresponding to ΔPV, as shown in FIG. It has a linear relationship as shown by a broken line.

  When the press-fit shape ΔX ′ is determined based on the difference between the radius of the original lens and the inner radius of the holder, the surface accuracy variation ΔPV corresponding to the determined press-fit shape ΔX ′ is obtained from FIG. For example, when a lens having a press-fit shape ΔX ′ = 0.006 mm is designed, 1.67 μm can be obtained as the value of the surface accuracy change amount ΔPV.

  Then, α and β are determined using the determined press-fit shape ΔX ′ and the surface accuracy variation ΔPV determined from FIG. 5, and the equation (2) is determined using the determined α and β. Predict the change in the shape of the lens surface after the original lens is pressed into the lens.

  Then, in anticipation of the predicted change in shape, the amount of surface accuracy change ΔPV = 1.67 μm can be offset by obtaining the equation (3) by correcting the equation (2) by 2β in the optical axis direction. The mold shape of the invention can be obtained.

<Fourth embodiment>
In the fourth embodiment, before press-fitting into the holder, the diameter is 2.8 mm, the lens surface diameter and the optical effective area diameter is 1.11 mm, the center thickness is 0.57 mm, and the flange portion thickness is 0.46 mm. Assuming a prototype lens with a concave lens surface, a mold is designed using this prototype lens.

  As shown in FIG. 6, the prototype lens of the fourth example has a press-fit shape (mm) corresponding to ΔX ′ and a surface accuracy variation (μm) corresponding to ΔPV, as shown in FIG. It has a linear relationship as shown by a broken line.

  When the press-fitting shape ΔX ′ is determined based on the difference between the radius of the original lens and the inner radius of the holder, the surface accuracy variation ΔPV corresponding to the determined press-fitting shape ΔX ′ is obtained from FIG. For example, when designing a lens having a press-fit shape ΔX ′ = 0.006 mm, 2.06 μm can be obtained as the value of the surface accuracy change amount ΔPV.

  Then, α and β are obtained using the determined press-fit shape ΔX ′ and the surface accuracy variation ΔPV obtained from FIG. 6, and the equation (2) is obtained using the obtained α and β. Predict the change in the shape of the lens surface after the original lens is pressed into the lens.

  Then, in anticipation of the predicted change in the shape, the amount of surface accuracy change ΔPV = 2.06 μm can be offset by obtaining the expression (3) by correcting the expression (2) by 2β in the optical axis direction. The mold shape of the invention can be obtained.

  In addition, this invention is not limited to embodiment mentioned above, A various change is possible as needed.

  For example, the present invention can also be applied to a lens in which a planar linear cut-off portion is formed at a position corresponding to a portion molded in a mold gate in the lens. In such a lens, the scraped portion becomes a non-contact portion with the inner peripheral surface of the holder, but the lens having such a non-contact portion is also shaped in advance to allow for deformation of the lens by press-fitting into the holder. By forming the lens, the lens pressed and held in the holder can have desired optical characteristics.

  Further, in the present invention, an optical element such as a lens can be formed in consideration of an adhesive strain generated when the lens is press-fitted into the holder and then fixed to the holder with an adhesive. Further, the present invention can be applied not only to lenses but also to optical elements such as diffraction gratings and phase difference filters.

  Further, the lens surface need not be limited to the plane circular shape in the above-described embodiment as long as it is rotationally symmetric. For example, a plane regular triangle that is three-fold rotationally symmetric or a plane that is four-fold rotationally symmetric is used. It may be square. Furthermore, the first lens 3 on which the second lens holder 10 is formed is preferably formed of a resin material having a hardness higher than that of the second lens 5.

The block diagram which shows embodiment of the optical component which concerns on this invention In the embodiment of the optical component design method and the optical component manufacturing method according to the present invention, an explanatory diagram showing the shape of the original lens before press-fitting into the holder and the shape of the original lens and the shape of the mold after press-fitting into the holder The graph which shows the correspondence of the press fit dimension and surface accuracy variation | change_quantity in the prototype lens of 1st Example The graph which shows the correspondence of the press fit dimension and surface accuracy variation | change_quantity in the prototype lens of 2nd Example The graph which shows the correspondence of the press fit dimension and surface accuracy variation | change_quantity in the prototype lens of 3rd Example The graph which shows the correspondence of the press fit dimension and surface accuracy variation | change_quantity in the prototype lens of 4th Example

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Optical component 2 Holder 3 1st lens 5 2nd lens 10 2nd lens holder

Claims (9)

An optical element having an optical surface formed in a curved surface and a cylindrical outer peripheral surface surrounding the optical surface, and a holder in which the optical element is pressed and held,
The shape of the optical surface of the optical element before press-fitting the optical element into the holder is
The optical element has a desired optical characteristic after being pressed into the holder after allowing for deformation of the optical element due to press-fitting into the holder,
A prototype that is an optical element used for designing the optical element having an optical surface that has the same shape before press-fitting into the holder with respect to the ideal shape of the optical surface of the optical element after press-fitting into the holder The following equation (1) is satisfied that the optical surface of the optical element is satisfied before the original optical element is pressed into the holder:

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder R: central radius of curvature of the optical surface of the original optical element before press-fitting into the holder of the original optical element K: Conic coefficient (hereinafter the same)
A _m : m-order aspherical coefficient in the equation (1), and the equation that the optical surface of the prototype optical element is satisfied after the original optical element is pressed into the holder is expressed by the following equation (2):

However,
Z ′: a mathematical expression indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after press-fitting the original optical element into the holder X ′: of the original optical element after press-fitting the original optical element into the holder Radial coordinates of an arbitrary point on the optical surface α: r is the effective radius of the optical surface of the original optical element after press-fitting the original optical element into the holder (hereinafter the same), and press-fitting the original optical element into the holder A value represented by ΔX / r when the amount of change in the effective radius of the optical surface of the prototype optical element is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ': R (1 + β ) / (1-α) values A _m is represented by ^{2': {(1-α} ) m / (1 + β)} value represented by _{A m} (where, m is 1 natural numbers up to n)
If the following equation (3),

However,
Z ″: Formula indicating the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder X ″: Mold of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder Radial coordinates that define the shape R ″: value represented by R (1-2β) / (1-α) ² A _m ″: {(1-α) ^m / (1-2β)} A _m Value represented (where m is a natural number from 1 to n)
An optical component having a shape corresponding to a mold satisfying (2) and (3) an optical component according to claim 1, wherein the α and β, characterized in that there is a value determined based on the measured or structural analysis in formula. Wherein the outer peripheral surface of the optical element, according to claim 1 or 2 optical component according to characterized in that it has a non-contact portion between the inner peripheral surface of the holder. The optical surface of the optical element, any one optical component according to claim 1 to 3, characterized in that it is formed in a rotationally symmetric shape with respect to the optical axis of the optical element. In the holder, the optical component of any one of claims 1-4, characterized in that a plurality of the optical elements separate is held to the holder. The optical component according to claim 5 , wherein an arbitrary optical element is press-fitted and held in a holder integrally formed with another optical element. An optical component of any one of claims 1 to 6, the imaging apparatus characterized by comprising an imaging device that converts light into an electric signal. When designing an optical component comprising an optical element having an optical surface formed in a curved surface and a cylindrical outer peripheral surface surrounding the optical surface, and a holder in which the optical element is pressed and held,
Wherein the shape of the optical surface of the optical element before press-fitting to the holder of the optical element, desired optical after press-fitting of the optical element on which anticipation of deformation of the optical element by press-fitting to the holder to the holder A shape having characteristics ,
A prototype that is an optical element used for designing the optical element having an optical surface that has the same shape before press-fitting into the holder with respect to the ideal shape of the optical surface of the optical element after press-fitting into the holder The following equation (1) is satisfied that the optical surface of the optical element is satisfied before the original optical element is pressed into the holder:

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder
R: Center radius of curvature of the optical surface of the original optical element before press-fitting the original optical element into the holder
K: Conic coefficient (hereinafter the same)
A _m : m-order aspheric coefficient in equation (1)
And the following equation (2) is satisfied that the optical surface of the original optical element is satisfied after the original optical element is pressed into the holder:

However,
Z ′: a mathematical formula indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
X ′: radial coordinate of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
α: The effective radius of the optical surface of the original optical element after being pressed into the holder of the original optical element is r (hereinafter the same), and the amount of change in the effective radius of the optical surface of the original optical element due to the press-fitting of the original optical element into the holder Is represented by ΔX / r, where ΔX is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ′: a value represented by R (1 + β) / (1-α) ²
A _m ': the value represented by ^{{(1-α) m /} (1 + β)} A m ( where, m is a natural number up to 1 to n)
If the following equation (3),

However,
Z ″: a mathematical formula showing the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
X ″: radial coordinate defining the shape of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
R ″: a value represented by R (1-2β) / (1-α) ²
A _m ″: {(1-α) ^m / (1-2β)} A _m (where m is a natural number from 1 to n)
A design method for optical components, characterized by designing in a shape corresponding to a mold satisfying the requirements. When manufacturing the optical component having a curved surface an optical surface and an optical element having a cylindrical outer peripheral surface surrounding the optical surface and said holder with an optical element Ru is held by being press-fitted,
Wherein the shape of the optical surface of the optical element before press-fitting to the holder of the optical element, desired optical after press-fitting of the optical element on which anticipation of deformation of the optical element by press-fitting to the holder to the holder Formed into a shape that has characteristics, such a shape,
A prototype that is an optical element used for designing the optical element having an optical surface that has the same shape before press-fitting into the holder with respect to the ideal shape of the optical surface of the optical element after press-fitting into the holder The following equation (1) is satisfied that the optical surface of the optical element is satisfied before the original optical element is pressed into the holder:

However,
Z: A general formula (where m (natural number from 1 to n) is 4th order or more) indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the prototype optical element before press-fitting the prototype optical element into the holder In the case of an even number, an even-order aspheric type)
X: radial coordinate of an arbitrary point on the optical surface of the original optical element before press-fitting the original optical element into the holder
R: Center radius of curvature of the optical surface of the original optical element before press-fitting the original optical element into the holder
K: Conic coefficient (hereinafter the same)
A _m : m-order aspheric coefficient in equation (1)
And the following equation (2) is satisfied that the optical surface of the original optical element is satisfied after the original optical element is pressed into the holder:

However,
Z ′: a mathematical formula indicating coordinates in the optical axis direction of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
X ′: radial coordinate of an arbitrary point on the optical surface of the original optical element after the original optical element is pressed into the holder
α: The effective radius of the optical surface of the original optical element after being pressed into the holder of the original optical element is r (hereinafter the same), and the amount of change in the effective radius of the optical surface of the original optical element due to the press-fitting of the original optical element into the holder Is represented by ΔX / r, where ΔX is ΔX (hereinafter the same)
β: Expressed by ΔPV / r, where ΔPV is the amount of change in the optical axis direction of a point on the outer peripheral edge of the optical surface of the optical surface of the prototype optical element due to the press-fitting of the prototype optical element into the holder. Value (hereinafter the same)
R ′: a value represented by R (1 + β) / (1-α) ²
A _m ': the value represented by ^{{(1-α) m /} (1 + β)} A m ( where, m is a natural number up to 1 to n)
If the following equation (3),

However,
Z ″: a mathematical formula showing the shape of a mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
X ″: radial coordinate defining the shape of the mold for molding the optical surface of the optical element before press-fitting the optical element into the holder
R ″: a value represented by R (1-2β) / (1-α) ²
A _m ″: {(1-α) ^m / (1-2β)} A _m (where m is a natural number from 1 to n)
A method of manufacturing an optical component, wherein the optical component is manufactured by press-fitting and attaching the optical element formed in such a shape to a holder that satisfies the above requirements.

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