The connection between time- and frequency-domain three-dimensional inverse scattering methods

DOI10.1063/1.526015zbMath0557.35028OpenAlexW2049572838MaRDI QIDQ3222563

James H. Rose, Margaret Cheney, Brian DeFacio

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526015

zbMATH Keywords

time-independent Schrödinger equationinverse scattering methodthree-dimensional scatteringplasma-wave equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Statistical mechanics of plasmas (82D10)

Related Items (7)

Layer-stripping solutions of multidimensional inverse scattering problems ⋮ Generalized eigenfunction expansions for scattering in inhomogeneous three-dimensional media ⋮ Three-dimensional inverse scattering: Plasma and variable velocity wave equations ⋮ A new equation of scattering theory and its use in inverse scattering ⋮ Scattering on small three-dimensional, nonspherically symmetric potentials ⋮ Multidimensional inverse scattering: An orthogonalization formulation ⋮ Differential and integral methods for multidimensional inverse scattering problems

Cites Work

• A formulation for higher dimensional inverse problems for the wave equation
• A rigorous derivation of the ‘‘miracle’’ identity of three-dimensional inverse scattering
• On the determination of a differential equation from its spectral function
• Scattering of transient elastic waves by an inhomogeneous obstacle: Contrast in volume density of mass

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