Determination of the permittivity and conductivity in R3 using wave splitting of Maxwell’s equations

DOI10.1063/1.531085zbMath0827.35125OpenAlexW1967983364MaRDI QIDQ4836942

Sailing He, Vaughan H. Weston

Publication date: 21 June 1995

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

Full work available at URL: https://doi.org/10.1063/1.531085

zbMATH Keywords

fundamental solutionMaxwell's equationstransport equationnumerical scheme

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (4)

Inverse problem for the dissipative wave equation in a stratified half-space and linearization of the imbedding equations ⋮ Three-dimensional electromagnetic inverse scattering for biisotropic dispersive media ⋮ ``The source problem -- Transient waves propagating from internal sources in non-stationary media ⋮ Wave propagators for transient waves in one-dimensional media

Cites Work

• A Green's function approach to the determination of internal fields
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• Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface
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• Wave splitting and the reflection operator for the wave equation in R3
• Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
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• Factorization of the wave equation in higher dimensions
• Factorization of the wave equation in a nonplanar stratified medium
• Factorization of the dissipative wave equation and inverse scattering
• A Wave Splitting Approach to Time Dependent Inverse Scattering for the Stratified Cylinder
• Dyadic Green functions for the time-dependent wave equation
• Inverse problem for the dissipative wave equation in a stratified half-space and linearization of the imbedding equations
• A uniqueness theorem for second order hyperbolic differential equations
• Invariant imbedding and wave splitting in R ³  : II. The Green function approach to inverse scattering
• Time-domain wave splitting of Maxwell’s equations
• Wave splitting of the telegraph equation in R ³ and its application to inverse scattering

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