A so-called elliptical cylinder localized approximation theory allowing one to speed up the evaluation of beam shape distributions in generalized Lorenz–Mie theory for infinitely long cylinders with elliptical cross sections has been previously introduced and, in the case of Gaussian beams, rigorously justified. The validity of this approximation for arbitrary shaped beams is examined.
© 1999 Optical Society of America
G. Gouesbet and L. Mees, "Validity of the elliptical cylinder localized approximation for arbitrary shaped beams in generalized Lorenz–Mie theory for elliptical cylinders," J. Opt. Soc. Am. A 16, 2946-2958 (1999)