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Absorbing boundary condition for Bloch–Floquet eigenmodes

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Abstract

We present an absorbing boundary condition for electromagnetic frequency domain simulations of photonic crystals and metamaterials. This boundary condition can simultaneously absorb multiple Bloch–Floquet eigenmodes of a periodic crystal, including both propagating and evanescent modes. The photonic crystal or metamaterial in question can include lossy, active, anisotropic, and even bi-anisotropic inclusions. The absorbing boundary condition is dependent on an orthogonality condition for Bloch–Floquet eigenmodes, a generalized version of which is presented here. We test this absorbing boundary condition numerically and present the results.

© 2013 Optical Society of America

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