Svend Berntsen 2003 Inverse Problems 19 1247 doi:10.1088/0266-5611/19/6/002
Svend Berntsen
Show affiliationsThis paper addresses the scattering of acoustic waves from an inhomogeneous compactly supported scatterer. It is proved that knowledge of one incident wave and the corresponding scattered field at a plane outside the scatterer for all times is sufficient for the unique determination of the field and wave velocity. A layer stripping method is used. In each strip the wave velocity is uniquely determined by Neumann-to-Dirichlet mappings defined on the boundary of the strip. The field in a strip is uniquely determined by integral equations. The stability of the ill-posed field problems is discussed. A numerical example is investigated.
43.20.Fn Scattering of acoustic waves
02.60.Lj Ordinary and partial differential equations; boundary value problems
45E05 Integral equations with kernels of Cauchy type (See also 35J15)
Issue 6 (December 2003)
Received 14 March 2003, in final form 17 September 2003
Published 3 October 2003
Svend Berntsen 2003 Inverse Problems 19 1247
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