Abstract

It is well known that the generalized Lorenz–Mie theory (GLMT) is a rigorous analytical method for dealing with the interaction between light beams and spherical particles, which involves the description and reconstruction of the light beams with vector spherical wave functions (VSWFs). In this paper, a detailed study on the description and reconstruction of the typical structured light beams with VSWFs is reported. We first systematically derive the so-called beam shape coefficients (BSCs) of typical structured light beams, including the fundamental Gaussian beam, Hermite–Gaussian beam, Laguerre–Gaussian beam, Bessel beam, and Airy beam, with the aid of the angular spectrum decomposition method. Then based on the derived BSCs, we reconstruct these structured light beams using VSWFs and compare the results of the reconstructed beams with those of the original beams. Our results will be useful in the study of the interaction of typical structured light beams with spherical particles in the framework of GLMT.

© 2024 Optica Publishing Group

Implementation of typical structured light beams in discrete dipole approximation for scattering problems

Yuanfei Hui, Zhiwei Cui, and Yiping Han
J. Opt. Soc. Am. A 39(9) 1739-1748 (2022)

Hermite–Gaussian beams in the generalized Lorenz–Mie theory through finite–series Laguerre–Gaussian beam shape coefficients

Luiz Felipe Votto, Abdelghani Chafiq, Abdelmajid Belafhal, Gérard Gouesbet, and Leonardo André Ambrosio
J. Opt. Soc. Am. B 39(4) 1027-1032 (2022)

Concise and explicit expressions for typical spatial-structured light beams beyond the paraxial approximation

Zhiwei Cui, Ju Wang, Wanqi Ma, and Wenjuan Zhao
J. Opt. Soc. Am. A 39(10) 1794-1804 (2022)

Scattering analysis of two-dimensional Airy beams by typical non-spherical particles

Zhiwei Cui, Ju Wang, Wanqi Ma, and Fuping Wu
Appl. Opt. 61(28) 8508-8514 (2022)

Optical pulling force on a uniaxial anisotropic sphere by a high-order Bessel (vortex) beam

Zheng Jun Li
Appl. Opt. 63(10) A59-A69 (2024)