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University of Illinois at Urbana-Champaign

Supermode analysis and characterization of the coherent vertical cavity surface emitting laser array

Abstract

dc:description

The coherent coupling of optical fields in ion-implanted photonic crystal vertical cavity surface emitting laser (VCSEL) arrays results in the formation of supermodes. These arrays consist of elements defined by defects in the photonic crystal etched into the top distributed Bragg reflector. Isolated gain apertures, created through ion-implantation, establish an antiguided profile with a low index in the cavity and a high index in the interelement region. We simulate the supermodes using a 2-dimensional complex waveguide model that considers the photonic crystal, free carrier and mirror loss, laser threshold gain, and carrier-induced index suppression for the antiguided index profile. We find the N-element antiguided nearest-neighbor coupled array exhibits N fundamental nondegenerate supermodes that oscillate within a narrow frequency range for N=2, 3, and 6. Complex waveguide modal simulations allow us to analyze the evolution of the dominant supermode examining the impact of index suppression. Experimental observations support our simulation results and validate the identification of the dominant supermode based on Fourier-transformed far-field patterns. Adjusting the injection conditions, we can couple the array elements into a desired supermode, particularly an in-phase supermode where all elements have the same phase. This in-phase supermode exhibits a narrow central lobe beam width, improving the beam divergence compared to a single-element VCSEL. As we increase the number of elements in the antiguided coherent array, we observe higher gain discrimination between fundamental supermodes and higher-order modes, accompanied by a narrower beam divergence, compared to a single VCSEL. Additionally, the fraction of optical power confined within the narrow spot of the in-phase coupled beam exceeds that of a single VCSEL, thus demonstrating potential for high-brightness single mode applications.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Electrical & Computer Engr
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2023

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Jahan, Nusrat
Contributors dc:contributor
  • Choquette, Kent D.
  • Gary Eden, James
  • Lyding, Joseph W.
  • Dragic, Peter D.

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Copyright 2023 Nusrat Jahan
Language dc:language
en, eng

Identifiers

dc:identifier.*
Handle dc:identifier
https://hdl.handle.net/2142/121320

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Jahan, Nusrat. Supermode analysis and characterization of the coherent vertical cavity surface emitting laser array. Dissertation thesis, University of Illinois at Urbana-Champaign, 2023. https://hdl.handle.net/2142/121320