Localized Approximation of Generalized Lorenz‐Mie Theory: Faster algorithm for computations of beam shape coefficients, <i>g</i>

Abstract

Abstract Beam shape coefficients, g , are at the core of the generalized Lorenz‐Mie theory describing the scattering of a shaped beam by spheres. A decrease in computation times is essential for systematic applications of the theory. This paper introduces a new formulation to compute beam shape coefficients, g , in the framework of the localized approximation and discusses symmetry relations between the coefficients. The new formulation permits computation times to be decreased by one to two orders of magnitude.