Crystals | |
Bloch Modes and Evanescent Modes of Photonic Crystals: Weak Form Solutions Based on Accurate Interface Triangulation | |
Matthias Saba1  Gerd E. Schrr-Turk1  | |
[1] Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstr. 7B, 91058 Erlangen, |
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关键词: photonic crystals; band structure; evanescent modes; weak form solutions; single gyroid; reflectance; mesh representations; band gap material; | |
DOI : 10.3390/cryst5010014 | |
来源: mdpi | |
【 摘 要 】
We propose a new approach to calculate the complex photonic band structure, both purely dispersive and evanescent Bloch modes of a finite range, of arbitrary three-dimensional photonic crystals. Our method, based on a well-established plane wave expansion and the weak form solution of Maxwell’s equations, computes the Fourier components of periodic structures composed of distinct homogeneous material domains from a triangulated mesh representation of the inter-material interfaces; this allows substantially more accurate representations of the geometry of complex photonic crystals than the conventional representation by a cubic voxel grid. Our method works for general two-phase composite materials, consisting of bi-anisotropic materials with tensor-valued dielectric and magnetic permittivities
【 授权许可】
CC BY
© 2015 by the authors; licensee MDPI, Basel, Switzerland
【 预 览 】
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RO202003190017851ZK.pdf | 6548KB | download |