Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz-Mie theory: formulation and numerical results

摘要

We study the scattering of Gaussian beams by infinite cylinders in the framework of the so-called generalized Lorenz-Mie theory for cylinders. The general theory is expressed by using the theory of distributions. Several descriptions of the illuminating Gaussian beams are considered--i.e., Maxwellian beams at limited order, quasi-Gaussian beams defined by a plane-wave spectrum, and the cylindrical localized approximation--leading to different specific formulations. In the last two cases, the theory in terms of distributions reduces to theories expressed in terms of usual functions. # 1997 Optical Society of America [S0740-3232(97)01611-6]