@inproceedings{c02181736c5548df84d5c1d7afc69c65,
title = "Laser transverse modes with SU(2) representation",
abstract = "The direct generation of a structured beam from a laser resonator is closely related to the formation of transverse modes. For a long time, the representation of the transverse mode of the spherical cavity is usually divided into Hermite-Gaussian (HG) and Lager-Gaussian (LG) modes. A large number of experimental results show that the generalized representation of the transverse mode is the Hermite-Laguerre-Gaussian (HLG) mode. We give a detailed overview of the theoretical description of the HLG mode from the representation of SU(2) in the Jordan-Schwinger diagram. We further show that the HLG modes can be exactly derived as the superposition of the elliptical modes without involving Hermite and Laguerre polynomials. ",
keywords = "Hermite-Laguerre-Gaussian mode, Spherical cavity, SU(2), Transverse mode",
author = "Chen, {Yung Fu}",
note = "Publisher Copyright: {\textcopyright} 2021 SPIE.; Optical Manipulation and Structured Materials Conference 2021 ; Conference date: 20-04-2021 Through 22-04-2021",
year = "2021",
doi = "10.1117/12.2615978",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Takashige Omatsu and Kishan Dholakia and Hajime Ishihara and Keiji Sasaki",
booktitle = "Optical Manipulation and Structured Materials Conference 2021",
address = "United States",
}