Stability of the photonic band gap in the presence of disorder

Kaliteevski, M.A.; Beggs, D.M; Brand, S.; Abram, R.A.; Nikolaev, V.V.

Abstract

The photonic eigenmodes near a band gap of a type of one-dimensional disordered photonic crystal have been investigated statistically. For the system considered, it is found that the tail of the density of states entering the band gap is characterized by a certain penetration depth, which is proportional to the disorder parameter. A quantitative relation between the relative penetration depth, the relative width of the photonic band gap, and the disorder has been found. It is apparent that there is a certain level of disorder below which the probability of the appearance of photonic eigenstates at the center of the photonic band gap essentially vanishes. Below the threshold, the ensemble-averaged transmission at the center of the photonic band gap does not change significantly with increasing disorder, but above threshold it increases much more rapidly. A simple empirical formula has been obtained which describes how the logarithm of the transmission relates to the periodic refractive index modulation and the disorder

Citation

Kaliteevski, M., Beggs, D., Brand, S., Abram, R., & Nikolaev, V. (2006). Stability of the photonic band gap in the presence of disorder. Physical review B, 73(3), https://doi.org/10.1103/physrevb.73.033106

• Journal Article Type: Article
• Publication Date: 2006-01
• Deposit Date: Nov 28, 2006
• Publicly Available Date: Sep 20, 2010
• Journal: Physical review B - Condensed Matter and Materials Physics
• Print ISSN: 1098-0121
• Electronic ISSN: 1550-235X
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 73
• Issue: 3
• DOI: https://doi.org/10.1103/physrevb.73.033106
• Keywords: Localization, Systems, Crystals, Average, Light.
• Public URL: https://durham-repository.worktribe.com/output/1583288