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Target shape optimization method for aspherical optical element in conventional processing stage

An optical component, traditional processing technology, applied in the direction of optical components, optics, instruments, etc., can solve the problem of excessive removal of workpiece surface, excessive surface shape error of intermediate frequency, large deviation between near spherical and aspherical surfaces, etc.

Inactive Publication Date: 2013-01-09
TSINGHUA UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0016] The purpose of the present invention is to provide a method for optimizing the target shape of an aspheric optical element in the traditional processing stage, so as to solve the problem that the center of the approximate spherical surface is limited to be on the axis of rotation in the traditional solution method, resulting in a relatively large deviation between the obtained approximate spherical surface and the aspheric surface. problem, and can solve the near-spherical surface with the maximum normal deviation as the optimization goal, avoiding the problem of excessive intermediate frequency surface shape error caused by excessive removal of a certain point on the workpiece surface

Method used

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  • Target shape optimization method for aspherical optical element in conventional processing stage
  • Target shape optimization method for aspherical optical element in conventional processing stage
  • Target shape optimization method for aspherical optical element in conventional processing stage

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Embodiment Construction

[0059] Such as figure 2 , image 3 As shown, the concave off-axis parabolic mirror 1 is located on the parabolic surface 2 of revolution. P 1 P n It is the intercept curve obtained by intersecting the xoy plane, O i Point at P i The normal of the point. figure 2 The positional relationship between the concave off-axis parabolic mirror 1 and the paraboloid of revolution 2 is shown as a whole. The equation of concave off-axis parabolic mirror 1 is y 2 +z 2 =2400x, y∈[42,143], z∈[-50,50], the units are all millimeters.

[0060] Usually a laser interferometer is used to measure the surface shape of the workpiece. Since the resolution of the interferometer's lateral measurement is 0.1 to 0.2 mm, when the surface equation is discretized in the computer, the y direction of the two adjacent points of the data point matrix The distance from the z direction is set to 0.1 mm, and Δr=0.1 mm.

[0061] The value of n and m determines the accuracy of the calculation. Here, we choose n=1000, m...

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Abstract

The invention discloses a target shape optimization method for an aspherical optical element in a conventional processing stage, belonging to the technical field of optical processing. A decare right-angle coordinate system is built by taking an optical axis of the aspherical optical element as an x axis and an intersection point of the optical axis and an aspherical surface as an original point; and points on the aspherical optical element are gradually searched by taking a circle center and a radius of a curvature circle of each point on a curve obtained by the intersection of a symmetric plane of the aspherical optical element and the aspherical surface as initial values of a similarly spherical surface, and the position of a spherical center and a radius value of the similarly spherical surface are randomly adjusted, so that the similarly spherical surface can meet a positive removal amount condition. The spherical center of the similarly spherical surface is not limited on a rotating shaft, so that the similarly spherical surface which is better than that obtained by the conventional method can be obtained, and the problem that the manufacturing cost is increased because of over removal of materials is solved; and moreover, the similar spherical surface can be optimized by taking a minimum value of a maximum normal deviation value as a target, so that the similar spherical surface beneficial to reducing processing traces and medium frequency surface shape errors can be obtained.

Description

Technical field [0001] The invention belongs to the technical field of optical processing, and particularly relates to a method for optimizing the target shape of an aspheric optical element in the traditional processing stage. Background technique [0002] The surface shapes of optical components usually have the following types: flat, spherical, aspheric and free-form surfaces. Among them, aspheric surfaces used in optical systems are usually curved surfaces with rotational symmetry such as paraboloids, hyperboloids, and ellipsoids. For convenience, the rotationally symmetrical aspheric surface may be referred to as aspherical surface for short. The off-axis aspheric surface is taken from the aspheric surface, but the axis of rotation that deviates from the aspheric surface is a special kind of aspheric surface. Generally, off-axis aspherical elements themselves have no rotational symmetry, but because they are taken from aspherical surfaces, off-axis aspherical surfaces are ...

Claims

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Application Information

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IPC IPC(8): G02B27/00
Inventor 张云王于岳祝徐兴冯之敬
Owner TSINGHUA UNIV
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