dorsal/arxiv
View SchemaThe Extended Plane Wave Expansion Method in Three Dimensional Anisotropic Photonic Crystal
| Authors | Young-Chung Hsue, Ben-Yuan Gu |
|---|---|
| Categories | |
| ArXiv ID | physics/0405026 |
| URL | https://arxiv.org/abs/physics/0405026 |
| DOI | 10.1103/PhysRevB.72.195118 |
Abstract
In this paper, we extend the conventional plane wave expansion method in 3D anisotropic photonic crystal to be able to calculate the complex $\mathbf{k}$ even if permittivity and permeability are complex numbers or the functions of $\omega$. There are some tricks in the derivation process, so we show the process in detail. Besides, we also provide an example for testing and explaining, and we also compare the results with the band structure derived from conventional plane wave expansion method, then we finally find that there is a good consistency between them.
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"abstract": "In this paper, we extend the conventional plane wave expansion method in 3D\nanisotropic photonic crystal to be able to calculate the complex $\\mathbf{k}$\neven if permittivity and permeability are complex numbers or the functions of\n$\\omega$. There are some tricks in the derivation process, so we show the\nprocess in detail. Besides, we also provide an example for testing and\nexplaining, and we also compare the results with the band structure derived\nfrom conventional plane wave expansion method, then we finally find that there\nis a good consistency between them.",
"arxiv_id": "physics/0405026",
"authors": [
"Young-Chung Hsue",
"Ben-Yuan Gu"
],
"categories": [
"physics.comp-ph",
"physics.optics"
],
"doi": "10.1103/PhysRevB.72.195118",
"title": "The Extended Plane Wave Expansion Method in Three Dimensional Anisotropic Photonic Crystal",
"url": "https://arxiv.org/abs/physics/0405026"
},
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