Fourier Beam Analysis of Photonic Crystal Coupled Triangular VCSEL Array

Nusrat Jahan, William North, Nisha Kolagotla, Kent D. Choquette

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We show that a photonic crystal triangular VCSEL array can lase in three possible coherent supermodes with three distinctive far-field beam profiles. To determine a dominant supermode at a given level of current injection, we define the peak ratio as the ratio between any sidelobe peak to the central peak of the Fourier transform of the far-field. The peak ratio and the number of sidelobes we show provides a numerical method to determine the dominant supermode in a coherent triangular VCSEL array. Coherent operation is found with approximately equal current injection into each element producing a single spectral resonance and structured far-field profile. We compare experimentally extracted peak ratios for an array nominally emitting at 850nm to those calculated from a complex waveguide modal simulation. This Fourier method based far-field analysis may be useful to determine a useful beam profile for target applications.

Original languageEnglish (US)
Title of host publicationVertical-Cavity Surface-Emitting Lasers XXVII
EditorsChun Lei, Luke A. Graham
ISBN (Electronic)9781510659834
StatePublished - 2023
Externally publishedYes
EventVertical-Cavity Surface-Emitting Lasers XXVII 2023 - San Francisco, United States
Duration: Feb 1 2023Feb 2 2023

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceVertical-Cavity Surface-Emitting Lasers XXVII 2023
Country/TerritoryUnited States
CitySan Francisco


  • Fourier transform
  • coherent VCSEL array
  • vertical cavity surface emitting laser

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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