Density of states in 1D disordered photonic crystals: Analytical solution

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

doi:10.1016/j.ssc.2008.01.037

Density of states in 1D disordered photonic crystals: Analytical solution

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

Authors

AA Greshnov

MA Kaliteevski

RA Abram

S Brand

GG Zegrya

Abstract

A novel analytical approach to the calculation of the density of states of one-dimensional disordered photonic crystals has been developed. It is shown that the problem can be reduced to the solution of a stationary Fokker–Planck equation for the distribution function of a reduced phase variable Ψ which is directly related to the quantity where E(z) is the electric field of the electromagnetic wave and z the position in the structure. We have obtained an analytical expression for the density of states within and close to the first photonic band gap and have examined various approximations. Our analytical expressions for the density of states are in good agreement with the results of direct numerical calculations.

Citation

Greshnov, A., Kaliteevski, M., Abram, R., Brand, S., & Zegrya, G. (2008). Density of states in 1D disordered photonic crystals: Analytical solution. Solid State Communications, 146(3-4), 157-160. https://doi.org/10.1016/j.ssc.2008.01.037

Journal Article Type	Article
Publication Date	Apr 1, 2008
Deposit Date	Feb 21, 2011
Journal	Solid State Communications
Print ISSN	0038-1098
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	146
Issue	3-4
Pages	157-160
DOI	https://doi.org/10.1016/j.ssc.2008.01.037
Keywords	Photonic crystal, Photonic band gap, Disorder, Localization, Inhibited spontaneous emission.