Method for processing reflector mirror shape of high-precision space camera
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A space camera and processing method technology, applied in installation, optics, instruments, etc., can solve problems such as large calculation errors, and achieve the effects of increasing the amount of calculation, improving reliability and reliability, and improving calculation accuracy.
Active Publication Date: 2016-05-11
CHANGCHUN INST OF OPTICS FINE MECHANICS & PHYSICS CHINESE ACAD OF SCI
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[0004] In order to solve the problem of large calculation errors in the prior art, the present invention provides a method for processing the mirror surface shape of a high-precision space camera mirror
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Embodiment 1
[0028] For the mirror surface, use the aspheric surface described by the following form
[0029] z = c y 2 1 + 1 - ( 1 + k ) c 2 y 2 + Ay 4 + By 6 + Cy 8 + ...
[0030] Wherein, z is the rotational symmetry axis of the aspheric surface, and y is the incident height of the incident light on the aspheric surface.
[0031] Assuming that the direction of the ...
Embodiment 2
[0046] Embodiment 2, adopt the spherical surface of following form for specular surface
[0047] x 2 +y 2 +z 2 =R 2
[0048] Assuming that the direction of the calculated residual vector is the radial direction of the sphere, the coordinate of the i-th node on the deformed mirror surface is x i ,y i ,z i (i=1, 2, 3, . . . ).
[0049] See attached figure 1 , the calculation process is as follows:
[0050] Step 1. Same as Step 1 in Example 1.
[0051] Step 2. Read the spherical curvature radius R and calculate the deformation node [X i ,Y i ,Z i ] Deviation from the ideal surface in the direction of the calculated residual, that is, the residual δZ i
[0052] δZ i = X i 2 + Y i 2 + Z i ...
Embodiment 3
[0058] Embodiment 3, adopt the free form surface of following form for specular surface
[0059] z = cr 2 1 + 1 - ( 1 + k ) c 2 r 2 + Σ j = 2 66 c j x m y n , j = [ ( m + ...
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Abstract
The invention relates to a method for processing the reflector mirror shape of a high-precision space camera. According to the method, the node coordinates of a deformed mirror are rotated, adjusted in scale and translated to realize the coordinate transformation. After the coordinate transformation process, the residual sum of squares between the node of the deformed mirror and the curved surface of an ideal mirror is minimized. After that, the approximate values of a scaling factor, a coordinate translation amount and a coordinate rotation amount are solved in the least-squares sense. The scaling factor is adopted as an estimated parameter and a fitting equation approximate to an ideal equation is fitted based on known data points. Meanwhile, based on the scaling factor obtained through calculation, a curved surface equation fitted to deformed nodes can be determined. The above processing method lowers the data of the residual error and improves the calculation accuracy. Meanwhile, the credibility and the reliability of fitting results are improved.
Description
technical field [0001] The invention relates to the technical field of mirror surface shape processing, in particular to a method for processing the mirror surface shape of a high-precision space camera mirror. Background technique [0002] The reflective optical system is easy to achieve the task requirements of large field of view, high transmission, small size and light weight, and the reflector becomes an important optical component of the space camera. At the same time, with high rigidity materials as the matrix, it is easy to support large diameters. As a high-precision imaging unit, it is an important task of engineering analysis to evaluate whether the mirror surface shape can meet the imaging quality requirements of the optical system under load conditions. However, the engineering analysis software can only give the coordinates and displacements of the mirror nodes under load conditions, and the displacement of the entire mirror nodes constitutes the mirror surfac...
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Patent Type & Authority Applications(China)
IPC IPC(8): G02B7/185G02B27/00
CPCG02B7/185G02B27/0012
Inventor 王书新
Owner CHANGCHUN INST OF OPTICS FINE MECHANICS & PHYSICS CHINESE ACAD OF SCI