论文标题
二维准周期性多层介质散射问题的快速直接求解器，第二部分
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems, Part II
论文作者
论文摘要
该手稿是列出快速直接解决方案技术的第二个手稿，该技术用于从准周期多层结构中求解二维波散射问题。该系列中介绍的快速直接求解器是针对线性系统的，该系统是由可靠的积分公式的离散化导致的。本手稿中呈现的快速直接求解器具有计算成本，该计算成本相对于界面上离散点的数量和图层数量线性缩放。后者是对以前的求解器的改进，使新求解器更有效，尤其是对于涉及多个事件角度和对分层介质的变化的问题。数值结果说明了新求解器的性能比上一个求解器的性能提高。
This manuscript is the second in a series presenting fast direct solution techniques for solving two-dimensional wave scattering problems from quasi-periodic multilayered structures. The fast direct solvers presented in the series are for the linear system that results from the discretization of a robust integral formulation. The fast direct solver presented in this manuscript has a computational cost that scales linearly with respect to the number of discretization points on the interfaces and the number of layers. The latter is an improvement over the previous solver and makes the new solver more efficient especially for problems involving multiple incident angles and changes to the layered media. Numerical results illustrate the improved performance of the new solver over the previous one.
