Efficient Solution of Acoustic and Electromagnetic Scattering Problems in Three-Dimensional Periodic Media
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چکیده
We present an accurate and efficient numerical method, based on integral Nyström discretizations, for the solution of three dimensional wave propagation problems in piece-wise homogeneous media that have two-dimensional (in-plane) periodicity (e.g. photonic crystal slabs). Our approach uses (1) A fast, high-order algorithm for evaluation of singular integral operators on surfaces in three-dimensional space, and (2) A new, representation of the three-dimensional quasi-periodic Green’s functions, which, based on use of infinitely-smooth windowing functions and equivalent-source representations, converges super-algebraically fast throughout the frequency spectrum—even for high-contrast problems and at and around the resonant frequencies known as Wood anomalies.
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تاریخ انتشار 2011