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Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum--including Wood anomalies

Abstract : We introduce a new methodology, based on new quasi-periodic Green functions which converge rapidly even at and around Wood-anomaly configurations, for the numerical solution of problems of scattering by periodic rough surfaces in two-dimensional space. As is well known the classical quasi-periodic Green function ceases to exist at Wood anomalies. The approach introduced in this text produces fast Green function convergence throughout the spectrum on the basis of a certain "finite-differencing" approach and smooth windowing of the classical Green function lattice sum. The resulting Green-function convergence is super-algebraically fast away from Wood anomalies, and it reduces to an arbitrarily-high (user-prescribed) algebraic order of convergence at Wood anomalies.
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https://hal.inria.fr/hal-00923678
Contributor : Bérangère Delourme <>
Submitted on : Friday, January 3, 2014 - 5:50:10 PM
Last modification on : Wednesday, April 28, 2021 - 6:45:35 PM
Long-term archiving on: : Thursday, April 3, 2014 - 10:40:47 PM

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  • HAL Id : hal-00923678, version 1

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Oscar P. Bruno, Bérangère Delourme. Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum--including Wood anomalies. 2014. ⟨hal-00923678⟩

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