Formulation of the beam shape coefficients based on spherical expansion of the scalar function

In solving spherical particle scattering in generalized Lorenz-Mie theory, two sets of beam shape coef-ficients (BSCs) are calculated, one is for the transverse electric field and another is for the transverse magnetic field. The current work presents an indirect method which introduces the spherical expansion of a scalar potential function. In this way, the BSCs of the beam fields are obtained as combinations of the expansion coefficients of the scalar function, which allows formulating the BSCs more easily and speeding up the numerical calculation. The method is rigorous and is flexible to different shaped beams.& COPY; 2023 Elsevier Ltd. All rights reserved.

Automated summary

This paper presents an indirect method that utilizes the spherical expansion of a scalar potential function to obtain the BSCs of beam fields, making the calculation easier and faster. The method is rigorous and flexible for different-shaped beams.