Wave focusing on the line

DOI10.1063/1.1483894zbMath1060.35066OpenAlexW2077119225MaRDI QIDQ4832687

Tuncay Aktosun, James H. Rose

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1483894

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
• Reconstruction of steplike potentials
• The One-Dimensional Inverse Problem of Reflection Seismology
• The Calculations of an Inverse Potential Problem
• Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed
• Scattering and inverse scattering in one-dimensional nonhomogeneous media
• Inverse scattering on the line
• Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation