## Theoretical bandgap modeling of two-dimensional square photonic crystals fabricated by the interference of three noncoplanar laser beams

JOSA B, Vol. 21, Issue 9, pp. 1699-1702 (2004)

http://dx.doi.org/10.1364/JOSAB.21.001699

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### Abstract

We have investigated numerically the photonic bandgap (PBG) and spectral properties of two-dimensional (2-D) square structures fabricated by holographic lithography. Based on the block-iterative frequency-domain method and on the nonorthogonal finite-difference time-domain method, we have calculated band structure as a function of intensity threshold and shown that the PBG of 2-D titania arrays opens only for TM polarization and that directional PBGs can be obtained simultaneously for TE- and TM-polarized waves. In addition, we have shown that symmetry reduction of the atom introduced by holographic lithography can lift the band degeneracies and create an absolute PBG for a square lattice of dielectric rods in air.

© 2004 Optical Society of America

**OCIS Codes**

(220.4000) Optical design and fabrication : Microstructure fabrication

(260.2110) Physical optics : Electromagnetic optics

(260.3160) Physical optics : Interference

(350.3950) Other areas of optics : Micro-optics

**Citation**

X. L. Yang, L. Z. Cai, Q. Liu, and Hua-Kuang Liu, "Theoretical bandgap modeling of two-dimensional square photonic crystals fabricated by the interference of three noncoplanar laser beams," J. Opt. Soc. Am. B **21**, 1699-1702 (2004)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-21-9-1699

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