Exact solutions to the valley problem in inverse scattering

DOI10.1063/1.525695zbMath0509.76118OpenAlexW2024908671MaRDI QIDQ4749528

Kay R. Pechenick, Jeffrey M. Cohen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525695

zbMATH Keywords

Abel integral equationexact analytic solutionsmultiple peaksGel'fand-Levitan equationionospheric electron densityexact full-wave inverse scattering theoryvalley problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Geophysics (86A99)

Cites Work

• On the determination of a differential equation from its spectral function
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• The inverse scattering problem when the reflection coefficient is a rational function
• Inverse scattering with coinciding-pole reflection coefficients
• Inverse scattering—exact solution of the Gel’fand-Levitan equation

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