Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6932838 | Journal of Computational Physics | 2014 | 29 Pages |
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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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Oscar P. Bruno, Bérangère Delourme,