Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media

被引：4

作者：

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

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 12期

关键词：

acoustic impedance; Galerkin method; acoustic; eikonal; Klein-Gordon; Schrodinger; and Riccati equations; Dirac system; Volterra and Gelfand-Levitan integral equations; tensor field; LOCAL SOLVABILITY; ALGORITHM;

D O I：

10.1134/S0965542516120034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A three-dimensional inverse scattering problem for the acoustic wave equation is studied. The task is to determine the density and acoustic impedance of a medium. A necessary and sufficient condition for the unique solvability of this problem is established in the form of an energy conservation law. The interpretation of the solution to the inverse problem and the construction of medium images are discussed.

引用

页码：2043 / 2055

页数：13

共 27 条

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[7]

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[8]

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USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1985, 25 (01) :93-97

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