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Published in 2018 at "Inverse Problems"
DOI: 10.1088/1361-6420/aac3ad
Abstract: This paper is concerned with inverse time-harmonic acoustic and electromagnetic scattering from an infinite biperiodic medium (diffraction grating) in three dimensions. In the acoustic case, we prove that the near-field data of fixed-direction plane waves…
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Keywords:
direction;
scattering periodic;
medium scattering;
fixed direction ... See more keywords
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Published in 2020 at "Reviews in Mathematical Physics"
DOI: 10.1142/s0129055x20500245
Abstract: We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and eigenvalues of the fiber metric Laplacian are expressed…
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Keywords:
periodic metric;
scattering periodic;
metric graphs;