Analysis of a linear sampling method for identification of obstacles

DOI10.1007/S10255-005-0247-6zbMath1111.78010arXivmath-ph/0409049OpenAlexW1969905730MaRDI QIDQ2508034

Semion Gutman, Alexander G. Ramm

Publication date: 9 October 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409049

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

• On a property of the set of radiation patterns
• On the inverse diffraction problem
• A comparison of the Colton–Kirsch inverse scattering methods with linearized tomographic inverse scattering
• Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
• Modified Rayleigh conjecture and applications
• Recent Developments in Inverse Acoustic Scattering Theory
• A simple method for solving inverse scattering problems in the resonance region
• Stability of the solution to inverse obstacle scattering problem
• Inverse acoustic and electromagnetic scattering theory
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