New design concept of hard x-ray supermirrors for astronomical x-ray telescopes

Fangfang Wang, Jingtao Zhu, M. Tan, Li Jiang, Zhanshan Wang
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Abstract

A numerical and analysis method for optimizing multilayer supermirrors is developed based on the combination of the power-law method and the local optimization method of simplex algorithm. The parameters in the power-law formula are optimized by genetic algorithm. This allows a global minimization of the merit function and a many-fold decrease of the computing time. Several groups of X-ray supermirrors with the energy extended to 30 keV are successfully designed using this optimization method for a hard X-ray telescope. Tungsten and boron carbide are chosen as the multilayer materials. High reflectivity and high effective area are obtained, indicating that this numerical and analysis method is an effective tool to design hard X-ray supermirrors.
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天文x射线望远镜用硬x射线超镜的新设计概念
将幂律法与单纯形算法的局部优化方法相结合,提出了一种多层超镜优化的数值分析方法。利用遗传算法对幂律公式中的参数进行优化。这允许价值函数的全局最小化和计算时间的许多倍减少。利用该优化方法成功设计了多组能量扩展到30 keV的x射线超镜。多层材料选用碳化钨和碳化硼。得到了高反射率和高有效面积,表明该数值分析方法是设计硬x射线超镜的有效工具。
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