Bessel-Gauss beams in the generalized Lorenz-Mie theory using three remodeling techniques

Abstract

In the analysis of light scattering by small particles, the Generalized Lorenz-Mie Theory (GLMT) describes the incident beam with a set of Beam Shape Coefficients (BSCs) that can be calculated with three different approaches, viz., quadratures, finite series and localized approximations. Choosing between them may not be self-evident. A Bessel-Gauss beam (BGB) is a finite energy, physically realizable wave field resulting from the apodization of a Bessel beam by a Gaussian function. This paper provides a comparison between the aforementioned techniques for the evaluation of the BSCs of scalar BGBs with distinct axicon angles and confinement parameters, including field reconstructions. All three methods agree quite well in the paraxial regime, although as the axicon angle or the topological charge increases, differences in the BSCs for each method become more and more evident.