Branching features of photonic bandgaps in Fibonacci dielectric heterostructures
Journal
Optics Communications
Journal Volume
284
Journal Issue
7
Pages
1880-1886
Date Issued
2011
Author(s)
Abstract
We propose branching features of photonic band gaps in one-dimension Fibonacci dielectric heterostructures with arbitrary generation orders and thicknesses based on the gap map diagram, which is determined by the band edge formalism to avoid numerical instability. We find that the gap map diagram can be divided by the half-wave lines into several regions, each of which has similar gap pattern. The branching rules including the existence condition and the frequency range of each major gap as well as the number of all minor gaps in each region for systems with arbitrary thicknesses and generations are proposed. The number of major gaps in each region for the Fibonacci systems equals two rather than one for traditional binary layers. Moreover, the conditions of maximum gapwidth for the Fibonacci systems are not near the quarter wavelength, although the ones for traditional binary layers are at the quarter wavelength. © 2010 Elsevier B.V. All rights reserved.
Type
journal article