Level set based topology optimization for optical cloaks

Level set based topology optimization for optical cloaks
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DOI:
10.1063/1.4812471
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发表时间:
2013-06-24
影响因子:
4
通讯作者:
Mizuno, Mamoru
Mizuno, Mamoru
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Fujii, Garuda;Watanabe, Hayato;Mizuno, Mamoru

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这封信提出了一种基于水平集的拓扑优化方法,提供离散隐身配置与上级的性能。在某些情况下,二维隐形结构周围散射的光量不到以前研究中获得的十分之一。通过调整正则化参数,可以得到表达不同几何特征的最优构型。所获得的配置是免费的灰度,介电材料或空气之间的中间密度的区域,并使用水平集方法提供了清晰的结构边界。水平集函数在网格点上给出,介质边界被解释为水平集函数等值面上的线。有限元方法用于光散射分析、伴随变量场的计算以及更新水平集函数。(C)2013 AIP Publishing LLC.
This letter presents a level set-based topology optimization method that provides discrete cloaking configurations with superior performance. In some cases, the amount of light scattered around the two-dimensional cloaking structures is less than one-tenth that obtained in previous studies. Optimal configurations that express different geometrical characteristics can be obtained by adjusting a regularization parameter. The obtained configurations are free from grayscales, areas of intermediate density between that of dielectric materials or air, and the use of a level set method provides clear structural boundaries. The level set functions are given on grid points and the dielectric boundaries are interpreted as lines on the iso-surface of the level set functions. The finite element method is used for light scattering analyses, computations of the adjoint variable field, and when updating the level set functions. (C) 2013 AIP Publishing LLC.