使用玻恩级数求解非齐次麦克斯韦方程组

Solution of the inhomogeneous Maxwell's equations using a Born series.

作者信息

Krüger Benjamin, Brenner Thomas, Kienle Alwin

出版信息

Opt Express. 2017 Oct 16;25(21):25165-25182. doi: 10.1364/OE.25.025165.

DOI:10.1364/OE.25.025165

Abstract

An algorithm for the numerical solution of the inhomogeneous Maxwell's equations is presented. The algorithm solves the inhomogeneous vector wave equation of the electric field by writing the solution as a convergent Born series. Compared to two dimensional finite difference time domain calculations, solutions showing the same accuracy can be calculated more than three orders of magnitude faster.

摘要

提出了一种用于求解非齐次麦克斯韦方程组的数值算法。该算法通过将解写成收敛的玻恩级数来求解电场的非齐次矢量波动方程。与二维时域有限差分计算相比，能以超过三个数量级的速度更快地计算出具有相同精度的解。