Generalized eigenfunction expansions for scattering in inhomogeneous three-dimensional media

DOI10.1063/1.527927zbMath0694.35203OpenAlexW2015275618MaRDI QIDQ3469619

James H. Rose, Margaret Cheney

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527927

zbMATH Keywords

scatteringSchrödinger equationeigenfunction expansionsinverse scattering problemFourier and Radon transformsthree-dimensional scattering problemvariable-velocity wave equation

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Image synthesis for inverse obstacle scattering using the eigenfunction expansion theorem

Cites Work

• Eigenfunction expansions and scattering theory for wave propagation problems of classical physics
• A spectral theory for the reduced wave equation with a complex refractive index
• The connection between time- and frequency-domain three-dimensional inverse scattering methods
• Inverse scattering. II. Three dimensions

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