Abstract

We establish a localized approximation to evaluate the beam-shape coefficients of a Gaussian beam in elliptical cylinder coordinates. As for the case of spherical coordinates and of circular cylinder coordinates, this approximation provides an efficient way to speed up computations within the framework of a generalized Lorenz–Mie theory for elliptical cylinders.

© 2000 Optical Society of America

Validity of the elliptical cylinder localized approximation for arbitrary shaped beams in generalized Lorenz–Mie theory for elliptical cylinders

G. Gouesbet and L. Mees
J. Opt. Soc. Am. A 16(12) 2946-2958 (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)

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)

Partial-wave description of shaped beams in elliptical-cylinder coordinates

G. Gouesbet, L. Mees, and G. Gréhan
J. Opt. Soc. Am. A 15(12) 3028-3038 (1998)

Validity of the localized approximation for arbitrary shaped beams in the generalized Lorenz–Mie theory for spheres

G. Gouesbet
J. Opt. Soc. Am. A 16(7) 1641-1650 (1999)