Two-Dimensional Coupled Wave Theory for Triangular Lattice TM-polarised Photonic Crystal Surface Emitting Lasers

Matthew N. Robinson, Stephen J. Sweeney, Richard A. Hogg

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a coupled-wave analysis of triangular-lattice photonic crystal surface emitting lasers (PCSELs) with transverse magnetic polarization. Six plane waves coupled by Bragg diffraction describe the two-dimensional optical coupling. Resonant mode frequencies are calculated for a lattice of circular holes at various fill factors and compared to the plane-wave expansion method. Analytical equations for coupling constants and mode frequencies are derived, and mode degeneracy as a function of fill factor is examined. Comparision to a square lattice TM mode PCSEL shows improved in-plane 2D coupling. The general equations for arbitrary unit cell dielectric functions are discussed, with predictions of the lasing mode supported by finite device calculations.
Original languageEnglish
Article number1700811
Number of pages11
JournalIEEE Journal of Selected Topics in Quantum Electronics
Volume31
Issue number2
Early online date20 Nov 2024
DOIs
Publication statusPublished - Mar 2025

Bibliographical note

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Keywords

  • Lattices
  • Continuous wavelet transforms
  • Couplings
  • Vectors
  • Photonic crystals
  • Surface emitting lasers
  • Mathematical models
  • Laser modes
  • Distributed feedback devices
  • Three-dimensional displays

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