The electromagnetic inverse problem in the time domain for a dissipative slab and a point source using invariant imbedding: Reconstruction of the permittivity and conductivity

DOI10.1016/0377-0427(92)90168-WzbMath0755.65123OpenAlexW2019491323MaRDI QIDQ1195386

Sailing He, Staffan Ström

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90168-w

zbMATH Keywords

Hankel transforminvariant imbeddingwave splittinginverse scatteringNumerical resultsdissipative stratified mediaelectromagnetic inverse problemreconstruction of permittivity and conductivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05)

Related Items (4)

On the Green-functions technique and phase velocity approximation of axially symmetric fields in stratified media ⋮ Determination of the permittivity and conductivity in R3 using wave splitting of Maxwell’s equations ⋮ Time domain Green functions technique for a point source over a dissipative stratified half-space with a phase velocity mismatch at the surface ⋮ Transient wave propagation in reciprocal bi-isotropic media at oblique incidence

Cites Work

• Obtaining scattering kernels using invariant imbedding
• An electromagnetic inverse problem for dispersive media
• 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
• Factorization of the wave equation in higher dimensions
• An inverse problem for a dissipative hyperbolic equation with discontinuous coefficients
• Direct and inverse scattering in the time domain for a dissipative wave equation. Part IV: Use of phase velocity mismatches to simplify inversions
• Numerical aspects of a dissipative inverse problem
• Direct and inverse scattering in the time domain for a dissipative wave equation. III. Scattering operators in the presence of a phase velocity mismatch
• One-dimensional inverse scattering problems: an asymmetric two-component wave system framework

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