Simultaneous reconstruction of material and transient source parameters using the invariant imbedding method

DOI10.1063/1.530140zbMath0776.35078OpenAlexW1998745337MaRDI QIDQ4201739

James Corones, Zhiming Sun

Publication date: 6 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530140

zbMATH Keywords

inverse source problemsGreen's function techniquedirect scattering problemnumerical inversion algorithms

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Wave equation (35L05) Diffraction, scattering (78A45)

Related Items (5)

Split fields and direction of propagation for the solution to first-order systems of equations. ⋮ On the Inverse Problem for Scattering of Electromagnetic Radiation by a Periodic Structure ⋮ On inverse source problems for the one-way wave equation. ⋮ ``The source problem -- Transient waves propagating from internal sources in non-stationary media ⋮ 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
• Direct and inverse scattering in the time domain via invariant imbedding equations
• An electromagnetic inverse problem for dispersive media
• Invariant imbedding for the wave equation in three dimensions and the applications to the direct and inverse problems
• 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

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