求解缓变波导中反问题的一种步进方法

A Marching Method for Inverse Problems in Weakly Range-dependent Multilayered Waveguides

对于声学和电磁学中的大尺度反问题,基于直接方法(例如有限元或者无网格方法)的数值计算往往会导致一个巨大的线性系统,因而在计算速度和存储上并不现实.基于求解Helmholtz方程正问题的Dirichlet-to-Neuman(DtN)算子步进方法,提出了一种用于求解波在大尺度缓变波导中传播的反问题的反向基本解算子步进方法(IFOMM).

For large-scale inverse problems in acoustics and eleetromagnetics, numerical schemes based on direct methods, e. g. FEM and meshless methods,often result in huge linear systems,and are not feasible in terms of computing speed and memory storage. In this work, the ＂inverse fundamental operator marching method＂ （IFOMM） is proposed based on the Dirichlet-to-Neumann map for solving large-scale inverse boundary value problems in range-dependent waveguides.