Radon Transform for Solving an Inverse Scattering Problem in a Planar Layered Acoustic Medium

被引：3

作者：

Baev, A. V. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

inverse scattering problem; Radon transform; acoustic wave equation; wave equation; eikonal; acoustic impedance; numerical simulation; SLANT STACKS; LOCAL SOLVABILITY; REFRACTION DATA; WAVE-EQUATION; EXTRAPOLATION; CONTINUATION;

D O I：

10.1134/S0965542518040061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-dimensional inverse scattering problem in a layered acoustic medium occupying a half-plane is considered. Data is the scattered wavefield from a surface point source measured on the boundary of the half-plane. On the basis of the Radon transform, an algorithm is constructed that recovers the velocity and the acoustic impedance of the medium from the scattering data. An analytical solution is presented for an inverse scattering problem, and several inverse scattering problems are solved numerically.

引用

页码：537 / 547

页数：11

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