Improved algorithm for electromagnetic scattering of plane waves and shaped beams by multilayered spheres

Abstract

An efficient numerical procedure for computing the scattering coefficients of a multilayered sphere is discussed. The stability of the numerical scheme allows us to extend the feasible range of computations, both in size parameter and in number of layers for a given size, by several orders of magnitude with respect to previously published algorithms. Exemplifying results, such as scattering diagrams and cross-sectional curves, including the case of Gaussian beam illumination, are provided. Particular attention is paid to scattering at the rainbow angle for which approaches based on geometrical optics might fail to provide accurate enough results.

BIM-Sim: Interactive Simulation of Broadband Imaging Using Mie Theory

“…Algorithms like MiePlot [12] provide plotting functions for scattering amplitude as a function of wavelength, particle size, and material properties. In addition, many plotting algorithms are available for creating Mie scattering plots for specific cases such as coated [13] and multi-layered spheres in shaped beams [14]. Finite element methods are generally used for non-spherical particles [15], while general solutions are known for fibers [16,17].…”

On the Validity of Born Approximation

“…The scattering characteristics of (homogenous or layered) dielectric spheres have been elaborately studied via the Mie theory [3,33,34]. In this work, we adopt a multi-layered dielectric sphere to verify the present criterion.…”

Near-Infrared Light Scattering by Ice-Water Mixed Clouds

“…Though there are several methods to calculate the scattering properties of nonspherical particles, microphysical properties of clouds cannot be characterized by only one of these shapes. In this paper, we replace the ice particles with equal-volume spherical shaped particles, the melting ice particles are replaced by water-coated ice spheres [5].…”