Optimization of complete band gaps for photonic crystal slabs through use of symmetry breaking hole shapes

Matthew D. Weed; Hubert P. Seigneur; Winston V. Schoenfeld

doi:10.1117/12.809023

16 February 2009 Optimization of complete band gaps for photonic crystal slabs through use of symmetry breaking hole shapes

Matthew D. Weed, Hubert P. Seigneur, Winston V. Schoenfeld

Author Affiliations +

Proceedings Volume 7223, Photonic and Phononic Crystal Materials and Devices IX; 72230Q (2009) https://doi.org/10.1117/12.809023
Event: SPIE OPTO: Integrated Optoelectronic Devices, 2009, San Jose, California, United States

Abstract

A complete photonic band gap (PBG) in photonic crystal slab (PCS) devices is desirable for various applications, and a realizable device of this kind demands minimal transmittance in-plane as well as out of plane. While in the past much work has considered this problem, none have held transverse confinement as a prime factor. In order to achieve our goal, square and triangular hole shapes are considered. Looking at sharp featured shapes as well as their fabrication realizable rounded counterparts and an even more rudimentary triangular cluster of circles, we look to break the crystalmode symmetries for TM photonic bands and, therefore, open a complete band gap between the 1st and 2nd bands for both TE and TM light. TE/TM gap overlap is optimized for single-slab-mode operation, via the effective index method, for hole size, hole orientation, and slab thickness - all as functions of the lattice constant, a, and operational wavelength, λ. It is found that rounded triangular holes and tri-clustered circular holes of size 0.88a and thickness d/λ = 0.112 show identical photonic behavior that provides an optimized gap overlap of 0.0496 (ωa/2πc = a/λ) with a 12.81% gap figure of merit (Δω/ω₀).

Citation Download Citation

Matthew D. Weed, Hubert P. Seigneur, and Winston V. Schoenfeld "Optimization of complete band gaps for photonic crystal slabs through use of symmetry breaking hole shapes", Proc. SPIE 7223, Photonic and Phononic Crystal Materials and Devices IX, 72230Q (16 February 2009); https://doi.org/10.1117/12.809023

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