论文标题
从三个维度的大矩形腔中电磁散射的快速算法
A fast algorithm for the electromagnetic scattering from a large rectangular cavity in three dimensions
论文作者
论文摘要
该论文涉及来自大型开放矩形腔的三维电磁散射，该散射嵌入了完美的电气导电无限地面平面中。通过引入透明的边界条件，将散射问题提出为边界值问题。基于电场的傅立叶膨胀，麦克斯韦方程将减小为傅立叶系数的一维普通微分方程。使用快速的傅立叶变换和高斯消除的快速算法是为了求解带有均匀或分层培养基的腔的生成线性系统。此外，新型方案旨在快速，准确地评估单数积分的傅立叶变换。提出了数值实验，以证明该方法的出色性能。
The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that is embedded in a perfectly electrically conducting infinite ground plane. By introducing a transparent boundary condition, the scattering problem is formulated into a boundary value problem in the bounded cavity. Based on the Fourier expansions of the electric field, the Maxwell equation is reduced to one-dimensional ordinary differential equations for the Fourier coefficients. A fast algorithm, employing the fast Fourier transform and the Gaussian elimination, is developed to solve the resulting linear system for the cavity which is filled with either a homogeneous or a layered medium. In addition, a novel scheme is designed to evaluate rapidly and accurately the Fourier transform of singular integrals. Numerical experiments are presented for large cavities to demonstrate the superior performance of the proposed method.
