The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data

DOI10.1216/JIE-2009-21-2-203zbMath1173.35722MaRDI QIDQ2389590

David Colton, Houssem Haddar, Fioralba Cakoni

Publication date: 17 July 2009

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

Maxwell's equationsanisotropic mediafar field datadirect and inverse scatteringtrans- mission eigenvalues

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (13)

Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems ⋮ Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems ⋮ Transmission eigenvalue problem for inhomogeneous absorbing media with mixed boundary condition ⋮ Computing interior transmission eigenvalues for homogeneous and anisotropic media ⋮ Surface integral formulation of the interior transmission problem ⋮ A mixed element scheme for the Helmholtz transmission eigenvalue problem for anisotropic media ⋮ Reconstruction of an Interface Between the Fluid and Piezoelectric Solid by Acoustic Measurements ⋮ A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains ⋮ The interior transmission eigenvalue problem for an anisotropic medium by a partially coated boundary ⋮ Inverse Scattering ⋮ Qualitative Indicator Functions for Imaging Crack Networks Using Acoustic Waves ⋮ Inside-Outside Duality and the Determination of Electromagnetic Interior Transmission Eigenvalues ⋮ Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem

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