dc.contributor.author | Piao, Daqing | |
dc.date.accessioned | 2023-07-07T18:59:00Z | |
dc.date.available | 2023-07-07T18:59:00Z | |
dc.date.issued | 2022-08-15 | |
dc.identifier | oksd_piao_new_near_analytical_path_2022 | |
dc.identifier.citation | Piao, D. (2022). New near-analytical path to the threshold size of spherical random lasing via geometric-distribution-probability weighting of the diffusive photon fluence rate. https://doi.org/10.48550/arXiv.2209.06164 | |
dc.identifier.uri | https://hdl.handle.net/11244/337922 | |
dc.description.abstract | We demonstrate a new near-analytical path to the threshold-size of random-lasing for the case of a uniform and isotropic-scattering sphere. We assess a geometric-distribution-probability (GDP) weighted integration of the diffusion-equation derived time-dependent photon fluence-rate at a spherical boundary, in response to uniform, synchronous, and Delta-functional photon generations within the sphere. The GDP weights the contribution of the modeled Delta-functional photon sources to the temporal behavior of the photon fluence rate at the spherical boundary-domain based on the line-of-sight distance between the modeled-photon source and the same field point. The integral manifests a bi-phasic pattern versus time with a global minimum followed by an exponential growth. The line-of-sight length that corresponds to the time of global minimum decreases monotonically as the size of the sphere increases. The condition that this line-of-sight length equaling the radius of the sphere is hypothesized to indicate a threshold whereby the medium can sustain the growth of the photon fluence-rate at the boundary over time. This threshold line-of-sight length is assessed over a gain/scattering ratio of [0.001, 10000] covering the diffusive to quasi-ballistic regimes. The threshold line-of-sight length applied with a simple empirical gain/scattering ratio predicts the threshold size over the diffusive region and outperforms the threshold size given by the eigen-mode-decomposition in the semi-ballistic region, when compared to the radiative transfer approach. The method sheds new insights to amplified diffusion process in a scattering medium with gain. | |
dc.format | application/pdf | |
dc.language | en_US | |
dc.publisher | ArXiv | |
dc.relation.uri | http://arxiv.org/abs/2209.06164v1 | |
dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
dc.title | New near-analytical path to the threshold size of spherical random lasing via geometric-distribution-probability weighting of the diffusive photon fluence rate | |
dc.date.updated | 2023-07-03T15:49:21Z | |
dc.identifier.doi | 10.48550/arXiv.2209.06164 | |
dc.description.department | Electrical and Computer Engineering | |
dc.type.genre | Article | |
dc.type.material | Text | |
dc.subject.keywords | physics | |
dc.identifier.author | ORCID: 0000-0003-0922-6885 (Piao, Daqing) | |
dc.identifier.author | ScopusID: 57220465193 | 7005153312 (Piao, Daqing) | |
dc.identifier.author | ResearcherID: I-1341-2013 (Piao, Daqing) | |