An invariant imbedding analysis of general wave scattering problems
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Publication:5284830
DOI10.1063/1.531606zbMath0863.35073OpenAlexW2023443804MaRDI QIDQ5284830
Maarten V. de Hoop, A. John Haines
Publication date: 27 February 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531606
external fieldDirichlet-to-Neumann mapRiccati-type equationinvariant imbedding techniqueanisotropic inclusionboundary element approachinternal fieldscalculation of wave fields
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45)
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Cites Work
- A Green's function approach to the determination of internal fields
- Elastic wave up/down decomposition in inhomogeneous and anisotropic media: An operator approach and its approximations
- Direct and inverse scattering in the time domain via invariant imbedding equations
- Wave splitting and the reflection operator for the wave equation in R3
- Determining anisotropic real-analytic conductivities by boundary measurements
- Direct and inverse scattering in the time domain for a dissipative wave equation. I. Scattering operators
- Factorization of the wave equation in higher dimensions
- Frequency Content of Randomly Scattered Signals
- 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
- The numerical solution of certain integral equations with non-integrable kernels arising in the theory of crack propagation and elastic wave diffraction