On a New Approach to Frequency Sounding of Layered Media

DOI10.1080/01630560802001023zbMath1185.35336OpenAlexW2045695549MaRDI QIDQ3506294

Alexandre Timonov, Alexandru Tamasan

Publication date: 12 June 2008

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802001023

zbMATH Keywords

inverse problemCauchy problemasymptotic expansionsRiccati equationacoustic frequency sounding

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Asymptotic expansions of solutions to PDEs (35C20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10)

Related Items

Iterative solutions of the inverse problems of frequency sounding and electrical prospecting of layered media, Reconstruction of inhomogeneous characteristics of a transverse inhomogeneous layer in antiplane vibrations

Cites Work

• A new iterative procedure for the numerical solution of coefficient inverse problems
• Impedance profile inversion via the first transport equation
• Carleman estimates for coefficient inverse problems and numerical applications.
• Direct and inverse scattering in the time domain via invariant imbedding equations
• The Inverse Problem for Ordinary Differential Operators on the Line
• Inverse Scattering for Discrete Transmission-Line Models
• On the inverse scattering problem for the Helmholtz equation in one dimension
• Inverse scattering method in electromagnetic sounding theory