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
Original Manuscript: November 27, 1996
Revised Manuscript: April 8, 1997
Manuscript Accepted: April 8, 1997
Published: November 1, 1997
K. F. Ren, G. Gréhan, and G. Gouesbet, "Scattering of a Gaussian beam by an infinite cylinder in the framework of generalized Lorenz–Mie theory: formulation and numerical results," J. Opt. Soc. Am. A 14, 3014-3025 (1997)