Inverse problem for the dissipative wave equation in a stratified half-space and linearization of the imbedding equations

DOI10.1088/0266-5611/8/3/006zbMath0748.35056OpenAlexW2082402683MaRDI QIDQ4012584

Sailing He, Vaughan H. Weston

Publication date: 27 September 1992

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/8/3/006

zbMATH Keywords

moment methodinvariant imbedding procedurekernel of the reflection operatormodified planar wave-splitting processone-sided reflection datareconstruction of the phase velocity and the dissipation coefficientsmooth stratified mediumzeroth and second moments

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Diffraction, scattering (78A45) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (9)

A ‘‘compact Green function’’ approach to the time-domain direct and inverse problems for a stratified dissipative slab ⋮ Analysis of the Green’s function approach to one-dimensional inverse problems. I. One parameter reconstruction ⋮ Determination of the permittivity and conductivity in R3 using wave splitting of Maxwell’s equations ⋮ Frequency domain wave-splitting techniques for plane stratified bianisotropic media ⋮ Three-dimensional electromagnetic inverse scattering for biisotropic dispersive media ⋮ Uniqueness in a frequency-domain inverse problem of a stratified uniaxial bianisotropic medium. ⋮ Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface ⋮ An ill-posed problem of the continuation of transient data for a hyperbolic equation in a three-dimensional inhomogeneous half-space ⋮ Application of weighted homotopy analysis method to solve an inverse source problem for wave equation

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