Reflector design method based on optimal transmission
A design method and mirror technology, applied in the direction of mirrors, optics, instruments, etc., can solve problems such as no transformation into mature algorithms
Active Publication Date: 2020-10-30
DALIAN UNIV OF TECH
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Although there have been many theoretical studies on the mirror design problem in the past, due to the extreme nonlinearity of the numerical solution formula, it has not been transformed into a mature algorithm that can actually realize the idea
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[0043]In order to make the technical problems solved by the present invention, the technical solutions adopted and the technical effects achieved clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, but not to limit the present invention. In addition, it should be noted that, for the convenience of description, only parts related to the present invention are shown in the drawings but not all content.
[0044] figure 1 It is an implementation flow chart of the mirror design method based on optimal transmission provided by the present invention. Such as figure 1 As shown, the present invention provides a method for designing reflectors based on optimal transmission, including:
[0045] Step 1. Use the vertices on a spherical cap grid as the target points. Each target point has tw...
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The invention relates to the field of reflector design, and provides a reflector design method based on optical transmission. The method comprises the steps of 1, taking a vertex on a spherical crowngrid as a target point, wherein each target point has a target area and a weight, and the target area of the target point is initialized by using an interpolation method according to a target picture;2, establishing a paraboloid equation for each target point according to the weight, and taking the central projection of the intersection line of paraboloids on the spherical surface as a weighted graph; calculating the area of each cell cavity in the weighted graph, calculating the error between the area of each cell cavity and the target area, calculating the iteration step length according tothe error, and iteratively completing the calculation of optimal transmission; and 3, calculating a central envelope formed by the paraboloids by using the obtained weights of the vertexes of the spherical crown grids, modeling the lens according to the envelope, and printing the model by using a 3D printing technology to obtain a reflecting lens capable of reflecting a target image. According tothe invention, the structure of the lens can be finally obtained.
Description
technical field [0001] The invention relates to the field of reflector design, in particular to a reflector design method based on optimal transmission. Background technique [0002] The reflector design problem is a classic problem in the engineering field, which explores how to design the surface structure of the reflector so that the reflected light of the reflector constitutes a given image. The problem has been shown to be equivalent to solving a Monge-Ampere problem, the optimal transport problem. Although there have been many theoretical studies on mirror design problems in the past, due to the extreme nonlinearity of the numerical solution formulas, they have not been transformed into mature algorithms that can actually realize the idea. [0003] The Optimal Transport theory is very suitable for solving the mapping problem between two distributions. It was first proposed by the French mathematician Monge in 1791. Given two metrics X, Y, and the corresponding spatia...
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IPC IPC(8): G02B27/00G02B5/08
CPCG02B5/08G02B27/0012
Inventor 雷娜郑晓朋罗钟铉薛龙江
Owner DALIAN UNIV OF TECH