The no response test for the reconstruction of polyhedral objects in electromagnetics

DOI10.1016/j.cam.2009.08.023zbMath1202.78017OpenAlexW2169973882MaRDI QIDQ975637

Mourad Sini, Roland W. E. Potthast

Publication date: 10 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.023

zbMATH Keywords

Maxwell equationssampling methodinverse electromagnetic obstacle problemNo Response Testpolyhedral obstacle

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (5)

The range test and the no response test for Oseen problems: theoretical foundation ⋮ Numerical studies of domain sampling methods for inverse boundary value problems by one measurement ⋮ Inverse Time-Harmonic Electromagnetic Scattering from Coated Polyhedral Scatterers With a Single Far-Field Pattern ⋮ Duality between range and no-response tests and its application for inverse problems ⋮ Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter

Cites Work

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• The point-source method for 3D reconstructions for the Helmholtz and Maxwell equations
• Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test
• The No Response Test---A Sampling Method for Inverse Scattering Problems
• The electromagnetic inverse-scattering problem for partly coated Lipschitz domains
• A survey on sampling and probe methods for inverse problems
• On the Convergence of the No Response Test
• Inverse problems for partial differential equations

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