{"title":"On radial quadrature method applied to spherical wave expansion of Gaussian beams","authors":"Siqi Tang , Jianqi Shen , Gérard Gouesbet , Leonardo A. Ambrosio","doi":"10.1016/j.jqsrt.2024.109290","DOIUrl":null,"url":null,"abstract":"<div><div>The radial quadrature method is proposed recently for evaluating the beam shape coefficients (BSCs) of shaped beams, in which the BSCs are expressed in terms of integrals, infinite series and finite series as well. Previous study reveals that the BSCs expressed in finite series agree exactly with those obtained in the finite series technique and show blowing-ups for high-order partial waves, while the BSCs expressed in infinite series do not blow up. The paper presented here uncovers the reason behind these phenomena. It is found that the radial quadrature suppresses significantly the evanescent waves in the BSC evaluation.</div></div>","PeriodicalId":16935,"journal":{"name":"Journal of Quantitative Spectroscopy & Radiative Transfer","volume":"332 ","pages":"Article 109290"},"PeriodicalIF":2.3000,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Quantitative Spectroscopy & Radiative Transfer","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022407324003972","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The radial quadrature method is proposed recently for evaluating the beam shape coefficients (BSCs) of shaped beams, in which the BSCs are expressed in terms of integrals, infinite series and finite series as well. Previous study reveals that the BSCs expressed in finite series agree exactly with those obtained in the finite series technique and show blowing-ups for high-order partial waves, while the BSCs expressed in infinite series do not blow up. The paper presented here uncovers the reason behind these phenomena. It is found that the radial quadrature suppresses significantly the evanescent waves in the BSC evaluation.
期刊介绍：
Papers with the following subject areas are suitable for publication in the Journal of Quantitative Spectroscopy and Radiative Transfer:
- Theoretical and experimental aspects of the spectra of atoms, molecules, ions, and plasmas.
- Spectral lineshape studies including models and computational algorithms.
- Atmospheric spectroscopy.
- Theoretical and experimental aspects of light scattering.
- Application of light scattering in particle characterization and remote sensing.
- Application of light scattering in biological sciences and medicine.
- Radiative transfer in absorbing, emitting, and scattering media.
- Radiative transfer in stochastic media.
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