文献类型：期刊文献

英文题名：Complex source point theory of paraxial and nonparaxial elliptical Gaussian beams

作者：Zhu, Jie Wang, Taofen Zhu, Kaicheng

第一作者：Zhu, Jie

通信作者：Zhu, KC[1]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Peoples R China;[2]Hunan Univ Sci & Technol, Sch Phys, Xiangtan 411201, Peoples R China;[3]Cent South Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China

第一机构：贵州理工学院理学院

通信机构：corresponding author), Cent South Univ, Sch Phys Sci & Technol, Changsha 410083, Peoples R China.

年份：2022

卷号：30

期号：17

起止页码：30279-30292

外文期刊名：OPTICS EXPRESS

收录：;EI(收录号：20223312565199);Scopus(收录号：2-s2.0-85135711415);WOS:【SCI-EXPANDED(收录号:WOS:000842044600036)】；

基金：Science and Technology Program of Guizhou Province ([2020]1Y025); National Natural Science Foundation of China (62163008).

语种：英文

外文关键词：Approximation theory - Gaussian beams - Gaussian distribution

摘要：Using the operator transformation technology, we extend the circular Gaussian beam based virtual (complex) sources method to investigate the paraxial and nonparaxial propagation properties of the elliptical Gaussian beams (EGBs) with planar or cylindrical wavefronts travelling in free space. The paraxial approximation analysis reveals the self-reappearance and self-focusing propagation features for the EGBs with cylindrical wavefront under proper parameter conditions. We further introduce the nonparaxial theory to derive the analytical expressions for the field distribution of an EGB in free space, and confirm that these intriguing propagation features can still be observed with added nonparaxial correction. Comparing with the paraxial approximation results, it is worth noting that there is a clear deviation of the on-axial intensity and phase distributions near the self-focusing position on the basis of nonparaxial correction solution. Our results reveal that the anisotropic diffraction of light propagating through homogeneous medium or free space is possible. The approach in this work can easily be generalized to other beam models with elliptical geometry, which allows us to correctly predict some important information about their near field propagation characteristics for various applications. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement