Open AccessCoupled-wave model for triangular-lattice photonic crystal with transverse electric polarization
Author(s) -
Kyosuke Sakai,
Yue Jianglin,
Susumu Noda
Publication year - 2008
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.006033
Subject(s) - transverse plane , physics , plane wave expansion method , optics , photonic crystal , hexagonal lattice , polarization (electrochemistry) , transverse mode , plane wave , lattice (music) , coupling constant , condensed matter physics , computational physics , quantum mechanics , acoustics , laser , chemistry , structural engineering , antiferromagnetism , engineering
We present a coupled-wave model for a triangular-lattice two-dimensional (2D) photonic crystal (PC) with a transverse electric (TE) polarization and derive a set of coupled-wave equations. We use these equations to obtain analytic expressions that describe the relations between the resonant mode frequencies and the coupling constants. We calculate the resonant mode frequencies for a PC composed of circular holes. These agree well with the frequencies calculated using the 2D plane wave expansion method. We also evaluate the coupling constants of fabricated samples using their measured resonant mode frequencies. Our analytic expressions allow the design and evaluation of feedback strength in triangular-lattice 2D PC cavities.