Electromagnetic Scattering From a Multilayered Cylinder Arbitrarily Located in a Gaussian Beam, a New Recursive Algorithms - Abstract

Abstract

In this paper, we investigate the problem of a cylindrical Gaussian beam incident perpendicular on an infinitely long multilayered cylinder. The incident Gaussian beam (TEM₀₀) is expanded in terms of plane wave spectrum and vector cylindrical harmonics. The theory of the interaction between a 2D Gaussian beam and an infinite multilayered cylinder is presented. The electric and magnetic fields bases on the Helmholtz equation in circular coordinates are derived. The modified algorithm for beam shape coefficient C_n and a new recursive formulae as well as the computing procedure to calculate the scattering coefficients a_nII and b_nI for TE and TM modes are proposed. The stability of the numerical scheme allows to increase by several magnitude orders of the computational domain, both in size parameter and in the number of layers for a given size. Numerical results including scattering fields and scattering width are given for several kinds of cylinders.