arXiv 2106.057542021-06-10physics.opticsphysics.comp-ph

任意波束散射场的快速计算

Fast computation of scattered fields with arbitrary beam scattering

Yuval Kashtera, Eran Falek, Pavel Ginzburg

DOI：: 10.1016/j.jqsrt.2020.106887

摘要：

球的电磁散射是最基本的问题之一，它有一个封闭形式的解析解，其形式为米氏级数。最初制定了一个平面入射波，形式主义可以扩展到更复杂的形式的入射照明。在这里，我们提出了一种快速计算方法来解决任意照明入射到球形散射体上的散射问题。该方法基于入射光的平面波分解和Mie解的加权积分，旋转到全局坐标系。表格的解决方案，采样与精确水平的稀疏性，和有效的旋转变换允许执行快速计算的电气大结构，优于其他数值技术的能力。该方法适用于电大尺寸物体电磁散射的实时分析，对于光机操作、扫描显微镜和快速优化算法等监测和控制应用至关重要。

英文摘要：

Electromagnetic scattering on a sphere is one of the most fundamental problems, which has a closed form analytical solution in the form of Mie series. Being initially formulated for a plane incident wave, the formalism can be extended to more complex forms of incident illumination. Here we present a fast calculation approach to address the scattering problem in the case of arbitrary illumination, incident on a spherical scatterer. This method is based on the plane wave decomposition of the incident illumination and weighted integration of Mie solutions, rotated to a global coordinate system. Tabulated solutions, sampled with an accurately level of sparsity, and efficient rotational transformations allow performing fast calculations on electrically large structures, outperforming capabilities relatively to other numerical techniques. Our approach is suitable for real-time analysis of electromagnetic scattering from electrically large objects, which is essential for monitoring and control applications, such as optomechanical manipulation, scanning microscope, and fast optimization algorithms.

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英文摘要：

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