Scattering of electromagnetic radiation based on numerical calculation of the T-matrix through its integral representation
Scattering of electromagnetic radiation based on numerical calculation of the T-matrix through its integral representation
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基于 T 矩阵积分表示的电磁辐射散射
DOI：
10.1117/12.2063545
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
K. Pfeilsticker
中科院分区：
文献类型：
--
作者：
Tricoli;K. Pfeilsticker
提出了一种新的数值方法，通过使用电磁散射的体积积分方程计算单个粒子的T矩阵。它是基于耦合偶极近似（CDA）的方法，见O。J. F. Martinet等人1.基本步骤包括并行使用Lippmann-Schwinger和Dyson方程分别迭代求解T矩阵和绿色函数并矢。因此，粒子的边界条件自动满足。该方法可用于评估各向异性、非均匀和非对称粒子的光学性质（例如，Müller矩阵），无论是在远场还是近场，作为输出给出T矩阵，其仅取决于散射体本身，并且与入射场的偏振和方向无关。通过与分析球形情况（米氏理论）以及非球形立方冰粒的比较，提供了该方法的准确性估计。
A novel numerical technique is presented to calculate the T-matrix for a single particle through the use of the volume integral equation for electromagnetic scattering. It is based on the method called Coupled Dipole Approximation (CDA), see O. J. F. Martinet al.1. The basic procedure includes the parallel use of the Lippmann-Schwinger and the Dyson equations to iteratively solve for the T-matrix and the Green’s function dyadic respectively. The boundary conditions of the particle are thus automatically satisfied. The method can be used for the evaluation of the optical properties (e.g. Müller matrix) of anisotropic, inhomogeneous and asymmetric particles, both in far and near field, giving as output the T-matrix, which depends only on the scatterer itself and is independent from the polarization and direction of the incoming field. Estimation of the accuracy of the method is provided through comparison with the analytical spherical case (Mie theory) as well as non-spherical cubic ice particles.