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arXiv · 0905.3275

Inverse problems for the anisotropic Maxwell equations

Carlos E. Kenig·Mikko Salo·Gunther Uhlmann
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Abstract

We prove that the electromagnetic material parameters are uniquely determined by boundary measurements for the time-harmonic Maxwell equations in certain anisotropic settings. We give a uniqueness result in the inverse problem for Maxwell equations on an admissible Riemannian manifold, and a uniqueness result for Maxwell equations in Euclidean space with admissible matrix coefficients. The proofs are based on a new Fourier analytic construction of complex geometrical optics solutions on admissible manifolds, and involve a proper notion of uniqueness for such solutions.

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Carlos E. Kenig, Mikko Salo, Gunther Uhlmann. 2009-05-20. Inverse problems for the anisotropic Maxwell equations. https://doi.org/10.1215/00127094-1272903

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