Analytical description of on-axis zero-order continuous frozen waves in the generalized Lorenz-Mie theory

This paper describes an analytical approach for the incorporation of a specific class of non-diffracting beams known as zero-order continuous frozen waves (FWs) within the context of the generalized Lorenz- Mie theory (GLMT). To do so, two main drawbacks observed in a previous work and related to the com-putation of the beam shape coefficients are resolved, viz., the determination of the Fourier coefficients of compositions of generalized Legendre functions and the exact solution to particular integrals involving Bessel functions, the latter being facilitated by the choice of an on-axis configuration. Examples are given for FWs with linear, circular and azimuth polarizations, together with field reconstructions in the GLMT. The approach here presented is important for the incorporation of continuous FWs as alternative laser beams and for the reliable calculation of their optical properties in the field of light scattering.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper presents an analytical approach to incorporate zero-order continuous frozen waves (FWs), a specific class of non-diffracting beams, into the framework of the generalized Lorenz-Mie theory (GLMT). The approach resolves two main drawbacks observed in previous work, which are related to the computation of beam shape coefficients. Examples and field reconstructions are provided for FWs with different polarizations. The approach is significant for using continuous FWs as alternative laser beams and accurately calculating their optical properties in the field of light scattering. (c) 2022 Elsevier Ltd. All rights reserved.