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
Original Manuscript: April 20, 1999
Revised Manuscript: October 21, 1999
Published: February 20, 2000
Gérard Gouesbet, Loic Mees, Gérard Gréhan, and Kuan-Fang Ren, "Localized approximation for Gaussian beams in elliptical cylinder coordinates," Appl. Opt. 39, 1008-1025 (2000)