Design of lightweight mirror based on genetic algorithm

Wei Zhang; Yi Yang

doi:10.1117/12.674105

30 May 2006 Design of lightweight mirror based on genetic algorithm

Wei Zhang, Yi Yang

Proceedings Volume 6148, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes; 61480T (2006) https://doi.org/10.1117/12.674105
Event: 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies, 2005, Xian, China

Abstract

Based on genetic algorithm the design of lightweight mirror in a space optical system is presented. At present some novel lightweight techniques for more quick, more exact implementation of the lightweight mirror design are considered. The design of lightweight mirror is a multi-variable and multi-range of value complex discrete variable optimization issue which belongs to combination optimizations issue. Genetic algorithm (GA) has global astringency and parallelism, so employing it for the design of lightweight mirror can provide a global optimization solution. The theory of the method is genetic algorithm is used to be optimization subprogram, links with the finite element code by interface program, and the deformation of mirror surface is computed by emulation analysis while the weight reduction and the influence of dead weight to the deformation have both been taken into account. The lightweight mirror design is exact if the deformation is controlled under a certain tolerance, Pareto optimal solution gather of multi-variable indicating mirror parameters. An example is demonstrated for the lightweight primary mirror of an off-axis three-mirror system. The design objective is the root-mean-square optical surface error under the influence of dead weight satisfying the tolerance, which is controlled under one fortieth of wavelength. The approving deformation of mirror surface is gained by combining finite element analysis and GA, at the same time optimal solution gather about mirror design parameters is received.

Citation Download Citation

Wei Zhang and Yi Yang "Design of lightweight mirror based on genetic algorithm", Proc. SPIE 6148, 2nd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes, 61480T (30 May 2006); https://doi.org/10.1117/12.674105

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