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.
Original language | English |
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Journal | Duke Mathematical Journal |
Volume | 157 |
Issue number | 2 |
Pages (from-to) | 369-419 |
Number of pages | 50 |
ISSN | 0012-7094 |
DOIs | |
Publication status | Published - 2011 |
MoE publication type | A1 Journal article-refereed |
Fields of Science
- 111 Mathematics