{"title":"用标量平移加法定理计算椭圆高斯光光束形状系数","authors":"Haoyu Jiang, Yang Yang, Yiqian Tian, Yu Wang, Haitao Yu, Jianqi Shen","doi":"10.1016/j.jqsrt.2025.109641","DOIUrl":null,"url":null,"abstract":"<div><div>A two-step indirect method for calculating the beam shape coefficients (BSCs) of the electromagnetic field of the circular Gaussian beam was recently presented, based on the spherical wave expansion of the scalar potential function and the scalar translational addition theorem (STAT). In this paper, the indirect method is extended to the shaped beam with non-axisymmetric cross-section, more specifically the elliptical Gaussian beam (EGB). Using the angular spectrum decomposition method, the BSCs of the scalar potential function are formulated in the beam coordinate system. Then, based on the STAT, the scalar BSCs in the particle coordinate system are obtained, which can be further transformed to the electromagnetic BSCs of the EGB. Numerical calculations are carried out to verify the accuracy and efficiency of the indirect method.</div></div>","PeriodicalId":16935,"journal":{"name":"Journal of Quantitative Spectroscopy & Radiative Transfer","volume":"347 ","pages":"Article 109641"},"PeriodicalIF":1.9000,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculation of beam shape coefficients for elliptical Gaussian light using the scalar translational addition theorem\",\"authors\":\"Haoyu Jiang, Yang Yang, Yiqian Tian, Yu Wang, Haitao Yu, Jianqi Shen\",\"doi\":\"10.1016/j.jqsrt.2025.109641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A two-step indirect method for calculating the beam shape coefficients (BSCs) of the electromagnetic field of the circular Gaussian beam was recently presented, based on the spherical wave expansion of the scalar potential function and the scalar translational addition theorem (STAT). In this paper, the indirect method is extended to the shaped beam with non-axisymmetric cross-section, more specifically the elliptical Gaussian beam (EGB). Using the angular spectrum decomposition method, the BSCs of the scalar potential function are formulated in the beam coordinate system. Then, based on the STAT, the scalar BSCs in the particle coordinate system are obtained, which can be further transformed to the electromagnetic BSCs of the EGB. Numerical calculations are carried out to verify the accuracy and efficiency of the indirect method.</div></div>\",\"PeriodicalId\":16935,\"journal\":{\"name\":\"Journal of Quantitative Spectroscopy & Radiative Transfer\",\"volume\":\"347 \",\"pages\":\"Article 109641\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2025-08-23\",\"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/S0022407325003036\",\"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/S0022407325003036","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}
Calculation of beam shape coefficients for elliptical Gaussian light using the scalar translational addition theorem
A two-step indirect method for calculating the beam shape coefficients (BSCs) of the electromagnetic field of the circular Gaussian beam was recently presented, based on the spherical wave expansion of the scalar potential function and the scalar translational addition theorem (STAT). In this paper, the indirect method is extended to the shaped beam with non-axisymmetric cross-section, more specifically the elliptical Gaussian beam (EGB). Using the angular spectrum decomposition method, the BSCs of the scalar potential function are formulated in the beam coordinate system. Then, based on the STAT, the scalar BSCs in the particle coordinate system are obtained, which can be further transformed to the electromagnetic BSCs of the EGB. Numerical calculations are carried out to verify the accuracy and efficiency of the indirect method.
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.