A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions

Authors:
Leslie Greengard;Kenneth L. Ho;June-Yub Lee
Affiliations:
Courant Institute, New York University, New York, NY 10012, United States;Department of Mathematics, Stanford University, Stanford, CA 94305, United States;Department of Mathematics, Ewha Womans University, Seoul 120-750, Republic of Korea
Venue:
Journal of Computational Physics
Year:
2014

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Abstract

We present a new integral equation method for the calculation of two-dimensional scattering from periodic structures involving triple-points (multiple materials meeting at a single point). The combination of a robust and high-order accurate integral representation and a fast direct solver permits the efficient simulation of scattering from fixed structures at multiple angles of incidence. We demonstrate the performance of the scheme with several numerical examples.