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All-frequency effective medium theory of a photonic crystal
Author(s) -
Geesche Boedecker,
C. Henkel
Publication year - 2003
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.11.001590
Subject(s) - photonic crystal , optics , negative refraction , reflection (computer programming) , transfer matrix method (optics) , physics , transmission (telecommunications) , coupled mode theory , guided mode resonance , crystal (programming language) , total internal reflection , refraction , density matrix , refractive index , materials science , diffraction , quantum mechanics , telecommunications , diffraction grating , computer science , quantum , programming language
We consider light propagation in a finite photonic crystal. The transmission and reflection from a one-dimensional system are described in an effective medium theory, which reproduces exactly the results of transfer matrix calculations. We derive simple formulas for the reflection from a semi-infinite crystal, the local density of states in absorbing crystals, and discuss defect modes and negative refraction.