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Entropic measure of directional emissions in microcavity lasers

Kyu-Won Park1, Chang-Hyun Ju2, and Kabgyun Jeong1,3,*

  • 1Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea
  • 2Department of Electronic Engineering, Yeungnam University, Gyeongsan 38541, Korea
  • 3School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Korea

  • *kgjeong6@snu.ac.kr

Phys. Rev. A 106, L031504 – Published 15 September, 2022

DOI: https://doi.org/10.1103/PhysRevA.106.L031504

Abstract

We propose a notion of the directional emission in microcavity lasers. First, the Shannon entropy of the far-field profiles in the polar coordinate can quantify the degree of unidirectionality of the emission, while previous notions about the unidirectionality cannot efficiently measure in the robust range against a variation of the deformation parameter. Second, a divergence angle of the directional emission is defined phenomenologically in terms of full width at half maximum, and it is only easily applicable to a simple peak structure. However, the Shannon entropy of semimarginal probability of the far-field profiles in the Cartesian coordinate can present equivalent results, and moreover it is applicable even to cases with a complicated peak structure of the emission.

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