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

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.