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网格衍射:从C-方法到随机C-方法

Jean Chandezon, Gérard Granet

Journal of the Optical Society of America. A, Optics, image science, and vision

|January 31, 2025

概括

随机C方法 (SCM) 通过添加噪声来增强格子形状建模,克服了传统C方法对于高高度到周期比率的局限性. 在射幅度计算中,SCM 实现了高精度.

科学领域:

光学和光子学在光学和光子学.
计算物理计算物理
数学方法数学方法

背景情况:

尚德森 (C-) 方法是一种数值技术,用于模拟表面浮雕格子的衍射.
由于矩阵条件不佳,C-方法面临高度与周期比较高的限制.

研究的目的:

引入随机C方法 (SCM) 来克服C方法的局限性.
扩大格衍射分析的适用性和物理模型.

主要方法:

通过将布朗噪声纳入格子形状函数,开发了SCM.
利用随机微分方程来解决数值上的困难.
在形格形状的格形状上进行了数值实验.

主要成果:

对于衍射/传输的振幅,SCM可以达到高精度 (10^-5).
成功模拟的格子,高度与周期的比率高达72.
结果与多精度计算和严格的合波分析 (RCWA) 相一致.

结论:

该SCM显著扩大了C-方法的适用于具有挑战性的格形状的可用性.
噪声包含丰富了衍射问题的物理模型.
SCM提供了一个强大而准确的解决方案,用于模拟衍射网.

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X-ray Crystallography

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