Abstract

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

Rigorous justification of the cylindrical localized approximation to speed up computations in the generalized Lorenz–Mie theory for cylinders

G. Gouesbet, G. Gréhan, and K. F. Ren
J. Opt. Soc. Am. A 15(2) 511-523 (1998)

Generalized Lorenz–Mie theory for infinitely long elliptical cylinders

G. Gouesbet and L. Mees
J. Opt. Soc. Am. A 16(6) 1333-1341 (1999)

Interaction between an infinite cylinder and an arbitrary-shaped beam

Gérard Gouesbet
Appl. Opt. 36(18) 4292-4304 (1997)

Scattering of a Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation: numerical results

Loïc Mees, Kuan Fang Ren, Gérard Gréhan, and Gérard Gouesbet
Appl. Opt. 38(9) 1867-1876 (1999)

Cylindrical localized approximation to speed up computations for Gaussian beams in the generalized Lorenz–Mie theory for cylinders, with arbitrary location and orientation of the scatterer

Gérard Gouesbet, Kuan Fang Ren, Loic Mees, and Gérard Gréhan
Appl. Opt. 38(12) 2647-2665 (1999)