Absorbing boundary condition for Bloch-Floquet eigenmodes

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...

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Bibliographic Details
Published in:arXiv.org 2013-05
Main Author: Fietz, Chris
Format: Article
Language:English
Subjects:
Anisotropy
Boundary conditions
Computer simulation
Inclusions
Metamaterials
Orthogonality
Photonic crystals
Propagation modes
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1305.5550