Calculation of Maximal Full Band Gaps for Two-Dimension Kagome Photonic Crystal
Date Issued
2012
Date
2012
Author(s)
Wang, Ssu-Che
Abstract
In this paper, we use the plane wave expansion(PWE) method to calculate the band structures of two-dimensional high dielectric contrast photonic crystals, which are formed by kagome array of solid or hollow dielectric rods connected with dielectric rectangular rods. We scan the material parameter and geometric parameter to find the full band gaps. We found some characteristics In kagome crystals of full band gaps :
(1) The largest absolute full band gap in kagome crystals is 0.159 (ωa / (2πc)) appears when the crystals is hollow with simple connected by dielectric rectangular rods, the ε=55, r1/a=0.06, r2/a=0.01, w/a=0.02; and The largest relative full band gap in kagome crystals is 42.6% appears when the crystals is solid with hexagram connected by dielectric rectangular rods, the ε=77, r/a=0.07, w/a=0.02.
(2) In kagome crystals with no connected by dielectric rectangular, there are more kinds of the dielectrics and radiuses can make the band gap bigger. Otherwise, it will make the band gap appear in the high band.
(3) The band gaps in the kagome crystals connected with dielectric rectangular rods is much bigger than no connected with dielectric rectangular rods, Otherwise, the width of dielectric rectangular rods are always small.
(4) In high dielectric kagome crystals, the largest full band gaps appear in low band, that is difference with honey, triangle crystals, square crystals, unless there are more kinds of the dielectrics or radiuses in the kagome crystals.
(5) When we change the rods from solid to hollow, in kagome crystals only has one structure that is better for band gap. But on the other hand, When changing the rods from solid to hollow in honey, triangle crystals, square crystals, that are always better for band gaps.
Subjects
Photonic crystals
Photonic band
kagome
Mie resonance
Heavy photon
Type
thesis
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