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Title: Lasing threshold of diffusive random lasers in three dimensions

Abstract

We have numerically investigated the lasing threshold of three-dimensional diffusive random lasers composed of pointlike scatterers. The lasing threshold {gamma}{sub T} is determined by the mode with the smallest decay rate. The dependence of {gamma}{sub T} on the number of scatterers N (system size) is shown to follow the power law {gamma}{sub T}{proportional_to}N{sup -2/3}. This result, which reflects the diffusion law for the lasing threshold, is shown to apply even when the system is very close to the Anderson localization transition. We suggest that this result corroborates the scenario in which extended modes are at the origin of random lasing in the diffusive regime, as revealed by recent experiments.

Authors:
 [1];  [2]
  1. Instituto de Fisica, Universidade do Estado do Rio de Janeiro, Rua Sao Francisco Xavier 524, 20550-900 Rio de Janeiro (Brazil)
  2. Centro Brasileiro de Pesquisas Fisicas-CBPF/MCT, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro (Brazil)
Publication Date:
OSTI Identifier:
20786797
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.013826; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; DECAY; DIFFUSION; ENERGY LEVELS; LASERS; MATHEMATICAL MODELS; RANDOMNESS; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Pinheiro, F A, and Sampaio, L C. Lasing threshold of diffusive random lasers in three dimensions. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Pinheiro, F A, & Sampaio, L C. Lasing threshold of diffusive random lasers in three dimensions. United States. doi:10.1103/PHYSREVA.73.0.
Pinheiro, F A, and Sampaio, L C. Sun . "Lasing threshold of diffusive random lasers in three dimensions". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786797,
title = {Lasing threshold of diffusive random lasers in three dimensions},
author = {Pinheiro, F A and Sampaio, L C},
abstractNote = {We have numerically investigated the lasing threshold of three-dimensional diffusive random lasers composed of pointlike scatterers. The lasing threshold {gamma}{sub T} is determined by the mode with the smallest decay rate. The dependence of {gamma}{sub T} on the number of scatterers N (system size) is shown to follow the power law {gamma}{sub T}{proportional_to}N{sup -2/3}. This result, which reflects the diffusion law for the lasing threshold, is shown to apply even when the system is very close to the Anderson localization transition. We suggest that this result corroborates the scenario in which extended modes are at the origin of random lasing in the diffusive regime, as revealed by recent experiments.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 73,
place = {United States},
year = {2006},
month = {1}
}