Laser transverse modes with SU(2) representation

Yung-Fu Chen

doi:10.1117/12.2615978

27 October 2021 Laser transverse modes with SU(2) representation

Yung-Fu Chen

Proceedings Volume 11926, Optical Manipulation and Structured Materials Conference 2021; 1192602 (2021) https://doi.org/10.1117/12.2615978
Event: SPIE Technologies and Applications of Structured Light, 2021, Online, Japan

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.

Citation Download Citation

Yung-Fu Chen "Laser transverse modes with SU(2) representation", Proc. SPIE 11926, Optical Manipulation and Structured Materials Conference 2021, 1192602 (27 October 2021); https://doi.org/10.1117/12.2615978

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