2016
DOI: 10.1364/josab.33.001888
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Diffusive to quasi-ballistic random laser: incoherent and coherent models

Abstract: We study the crossover between the diffusive and quasi-ballistic regimes of random lasers. In particular, we compare incoherent models based on the diffusion equation and the radiative transfer equation (RTE), which neglect all wave effects, with a coherent wave model for the random laser threshold. We show that both the incoherent and the coherent models predict qualitatively similar thresholds, with a smooth transition from a diffuse to a quasi-ballistic regime. The shape of the intensity distribution in the… Show more

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Cited by 4 publications
(3 citation statements)
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“…the cluster diameter divided by sc , is smaller than 6. This justifies our modeling of the random laser in the intermediate regime between the diffusive and ballistic limits (37).…”
Section: Supplementary Materials Materials and Methodssupporting
confidence: 78%
See 1 more Smart Citation
“…the cluster diameter divided by sc , is smaller than 6. This justifies our modeling of the random laser in the intermediate regime between the diffusive and ballistic limits (37).…”
Section: Supplementary Materials Materials and Methodssupporting
confidence: 78%
“…Random lasing model. The random lasing model is based on the radiative transfer equation (RTE) (37) and estimates the critical radius R cr , which is the minimum size of a colloidal cluster needed to achieve the lasing threshold. Since the lateral dimensions of our sample are much larger than its thickness, we used a two-dimensional model where R cr is given by solving…”
Section: Supplementary Materials Materials and Methodsmentioning
confidence: 99%
“…In the diffusive regime, photon is diffusive due to multiple scattering of photons, and the scattering process can be approximated as isotropic. Between the ballistic and diffusive regimes, photon undergoes a few scattering events in the highly forward direction and travels along the zig-zag paths while changing the direction [6,7]. In this paper, we call this few-scattering-event regime between the ballistic and diffusive regimes as the scattering regime, so that we consider the three kinds of characteristic regimes for photon transport.…”
Section: Introductionmentioning
confidence: 99%