{"title":"用三种方法计算拉盖尔-高斯光束的标量光束形状系数及其关系","authors":"Mengyang Wang, Siqi Tang, Jianqi Shen","doi":"10.1016/j.jqsrt.2025.109548","DOIUrl":null,"url":null,"abstract":"<div><div>Calculating the beam shape coefficients (BSCs) is crucial for analyzing the interaction between the Laguerre-Gaussian beams and the spherical particles. In this paper, the scalar BSCs of the Laguerre-Gaussian beam (LGB) are derived by using the finite series, the radial quadrature, and the angular spectrum decomposition methods. The relationships between the BSCs obtained with these methods are explored. It is found that under the paraxial conditions the expressions of the BSCs for the LGB may be transformed to each other. The study reveals the interconnection between these methods and may deepen the understanding of the beam-remodeling in the spherical wave expansion of the LGBs.</div></div>","PeriodicalId":16935,"journal":{"name":"Journal of Quantitative Spectroscopy & Radiative Transfer","volume":"345 ","pages":"Article 109548"},"PeriodicalIF":2.3000,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Evaluating the scalar beam shape coefficients of Laguerre-Gauss beam using three methods and their relation\",\"authors\":\"Mengyang Wang, Siqi Tang, Jianqi Shen\",\"doi\":\"10.1016/j.jqsrt.2025.109548\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Calculating the beam shape coefficients (BSCs) is crucial for analyzing the interaction between the Laguerre-Gaussian beams and the spherical particles. In this paper, the scalar BSCs of the Laguerre-Gaussian beam (LGB) are derived by using the finite series, the radial quadrature, and the angular spectrum decomposition methods. The relationships between the BSCs obtained with these methods are explored. It is found that under the paraxial conditions the expressions of the BSCs for the LGB may be transformed to each other. The study reveals the interconnection between these methods and may deepen the understanding of the beam-remodeling in the spherical wave expansion of the LGBs.</div></div>\",\"PeriodicalId\":16935,\"journal\":{\"name\":\"Journal of Quantitative Spectroscopy & Radiative Transfer\",\"volume\":\"345 \",\"pages\":\"Article 109548\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-06-03\",\"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/S0022407325002109\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Quantitative Spectroscopy & Radiative Transfer","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022407325002109","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}
Evaluating the scalar beam shape coefficients of Laguerre-Gauss beam using three methods and their relation
Calculating the beam shape coefficients (BSCs) is crucial for analyzing the interaction between the Laguerre-Gaussian beams and the spherical particles. In this paper, the scalar BSCs of the Laguerre-Gaussian beam (LGB) are derived by using the finite series, the radial quadrature, and the angular spectrum decomposition methods. The relationships between the BSCs obtained with these methods are explored. It is found that under the paraxial conditions the expressions of the BSCs for the LGB may be transformed to each other. The study reveals the interconnection between these methods and may deepen the understanding of the beam-remodeling in the spherical wave expansion of the LGBs.
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.