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Density of states of a one-dimensional disordered photonic crystal

Greshnov, AA; Kaliteevskii, MA; Abram, RA; Brand, S; Zegrya, GG

Authors

AA Greshnov

MA Kaliteevskii

RA Abram

S Brand

GG Zegrya



Abstract

An analytic theory of the density of states in one-dimensional disordered photonic crystals is proposed. It is shown that the problem of the density of optical modes can be reduced in the small dielectric contrast approximation to solving a generalized Fokker-Planck equation for the distribution function of the logarithmic derivative of the electric field (the wave phase). The exact analytic solution and density-of-states asymptotics deep in the band gap of the photonic crystal and close to the band gap edge are derived. The results obtained agree well with the empirical relations derived earlier from numerical experiments.

Citation

Greshnov, A., Kaliteevskii, M., Abram, R., Brand, S., & Zegrya, G. (2007). Density of states of a one-dimensional disordered photonic crystal. Physics of the Solid State, 49(10), 1999-2003. https://doi.org/10.1134/s1063783407100319

Journal Article Type Article
Publication Date Oct 1, 2007
Deposit Date Dec 16, 2010
Journal Physics of the Solid State
Print ISSN 1063-7834
Electronic ISSN 1090-6460
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 49
Issue 10
Pages 1999-2003
DOI https://doi.org/10.1134/s1063783407100319