通过离散偶极子近似、点匹配和利用对称性计算T矩阵
T-matrix calculation via discrete-dipole approximation, point matching and exploiting symmetry
摘要:
我们提出了一种方法,将离散偶极子近似(DDA)的方法与点匹配的方法制定的T-矩阵建模任意形状的微尺寸的对象。\emph{T} -矩阵元素是使用矢量球面波函数和DDA计算的场之间的点匹配来计算的。当应用于微转子时,它们的离散旋转和镜像对称性可以被利用来减少存储器使用和计算时间的数量级;可以基于每个离散旋转点处的方位角模式和相位之间的关系的知识以及来自Floquet定理的模式冗余来采用许多优化方法。如果照明条件是已知的,则还可以计算“简化模式”T矩阵。
英文摘要:
We present a method of incorporating the discrete dipole approximation (DDA) method with the point matching method to formulate the T-matrix for modeling arbitrarily shaped micro-sized objects. The \emph{T}-matrix elements are calculated using point matching between fields calculated using vector spherical wave functions and DDA. When applied to microrotors, their discrete rotational and mirror symmetries can be exploited to reduce memory usage and calculation time by orders of magnitude; a number of optimization methods can be employed based on the knowledge of the relationship between the azimuthal mode and phase at each discrete rotational point, and mode redundancy from Floquet's theorem. A 'reduced-mode' T-matrix can also be calculated if the illumination conditions are known.
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