dorsal/arxiv
View SchemaPhotonic Band Gaps of Three-Dimensional Face-Centered Cubic Lattices
| Authors | Alexander Moroz, Charles Sommers |
|---|---|
| Categories | |
| ArXiv ID | physics/9807057 |
| URL | https://arxiv.org/abs/physics/9807057 |
| DOI | 10.1088/0953-8984/11/4/007 |
| Journal | J. Phys.: Condens. Matter 11, 997 - 1008 (1999) |
Abstract
We show that the photonic analogue of the Korringa-Kohn-Rostocker method is a viable alternative to the plane-wave method to analyze the spectrum of electromagnetic waves in a three-dimensional periodic dielectric lattice. Firstly, in the case of an fcc lattice of homogeneous dielectric spheres, we reproduce the main features of the spectrum obtained by the plane wave method, namely that for a sufficiently high dielectric contrast a full gap opens in the spectrum between the eights and ninth bands if the dielectric constant $\epsilon_s$ of spheres is lower than the dielectric constant $\epsilon_b$ of the background medium. If $\epsilon_s> \epsilon_b$, no gap is found in the spectrum. The maximal value of the relative band-gap width approaches 14% in the close-packed case and decreases monotonically as the filling fraction decreases. The lowest dielectric contrast $\epsilon_b/\epsilon_s$ for which a full gap opens in the spectrum is determined to be 8.13. Eventually, in the case of an fcc lattice of coated spheres, we demonstrate that a suitable coating can enhance gap widths by as much as 50%.
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"abstract": "We show that the photonic analogue of the Korringa-Kohn-Rostocker method is a\nviable alternative to the plane-wave method to analyze the spectrum of\nelectromagnetic waves in a three-dimensional periodic dielectric lattice.\nFirstly, in the case of an fcc lattice of homogeneous dielectric spheres, we\nreproduce the main features of the spectrum obtained by the plane wave method,\nnamely that for a sufficiently high dielectric contrast a full gap opens in the\nspectrum between the eights and ninth bands if the dielectric constant\n$\\epsilon_s$ of spheres is lower than the dielectric constant $\\epsilon_b$ of\nthe background medium. If $\\epsilon_s\u003e \\epsilon_b$, no gap is found in the\nspectrum. The maximal value of the relative band-gap width approaches 14% in\nthe close-packed case and decreases monotonically as the filling fraction\ndecreases. The lowest dielectric contrast $\\epsilon_b/\\epsilon_s$ for which a\nfull gap opens in the spectrum is determined to be 8.13. Eventually, in the\ncase of an fcc lattice of coated spheres, we demonstrate that a suitable\ncoating can enhance gap widths by as much as 50%.",
"arxiv_id": "physics/9807057",
"authors": [
"Alexander Moroz",
"Charles Sommers"
],
"categories": [
"physics.class-ph",
"cond-mat",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1088/0953-8984/11/4/007",
"journal_ref": "J. Phys.: Condens. Matter 11, 997 - 1008 (1999)",
"title": "Photonic Band Gaps of Three-Dimensional Face-Centered Cubic Lattices",
"url": "https://arxiv.org/abs/physics/9807057"
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