A ‘‘compact Green function’’ approach to the time-domain direct and inverse problems for a stratified dissipative slab

DOI10.1063/1.530361zbMath0785.35109OpenAlexW2070171428MaRDI QIDQ4276713

Sailing He

Publication date: 27 April 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530361

zbMATH Keywords

numerical resultsinverse problemconductivityreflectiontransmissionpermittivitypermeabilityinhomogeneous mediadirect problemcompact Green functionsnormally incident electromagnetic wavesstratified dissipative slabtime- domain scattering

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

Frequency domain wave-splitting techniques for plane stratified bianisotropic media ⋮ Parameter identification in Helmholtz-type equations with a variable coefficient using a regularized DRBEM ⋮ An ill-posed problem of the continuation of transient data for a hyperbolic equation in a three-dimensional inhomogeneous half-space ⋮ Wave propagators for transient waves in one-dimensional media

Cites Work

• Obtaining scattering kernels using invariant imbedding
• A Green's function approach to the determination of internal fields
• Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation
• Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
• Direct and inverse scattering in the time domain for a dissipative wave equation. II. Simultaneous reconstruction of dissipation and phase velocity profiles
• Inverse problem for the dissipative wave equation in a stratified half-space and linearization of the imbedding equations
• Exact and operator rational approximate solutions of the Helmholtz, Weyl composition equation in underwater acoustics−The quadratic profile
• Invariant imbedding and wave splitting in R ³  : II. The Green function approach to inverse scattering
• Direct and inverse scattering in the time domain for a dissipative wave equation. Part IV: Use of phase velocity mismatches to simplify inversions
• Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch

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