用特定格林函数解含非均匀刚架多孔介质板声波激发的正问题
Use of specific Green's functions for solving direct problems involving a heterogeneous rigid frame porous medium slab solicited by acoustic waves
摘要：
采用特定格林函数（即，结合了非均匀介质中波传播的整体问题的一些特征）被开发用于求解相对于板状宏观非均匀多孔障碍物的正散射和逆散射问题。它示出了如何数值求解这样的问题，涉及空间变化的密度和压缩性，通过一个迭代计划初始化与玻恩近似。一个典型的问题，涉及两层板的数值解。
英文摘要：
A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative to slab-like macroscopically inhomogeneous porous obstacles. It is shown how to numerically solve such problems, involving both spatially-varying density and compressibility, by means of an iterative scheme initialized with a Born approximation. A numerical solution is obtained for a canonical problem involving a two-layer slab.
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