Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary |
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Authors: | S. A. Nazarov |
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Affiliation: | (1) Institute of Mechanical Engineering Problems, Russian Academy of Sciences, Vasil’evskii Ostrov, Bol’shoi pr. 61, St. Petersburg, 199178, Russia |
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Abstract: | Transparent artificial boundary conditions and an algorithm for computing the augmented scattering matrix are proposed for finding surface waves in a prescribed range of decay rates. An infinite-dimensional fictitious scattering operator is constructed that determines all waves decaying exponentially with distance from a periodic obstacle. |
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Keywords: | artificial boundary conditions diffraction by a periodic boundary search for surface waves |
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