Abstract
In this paper we present a simple and effective method, based on appropriate superpositions of Bessel–Gauss beams, which in the Fresnel regime is able to describe in analytic form the three-dimensional evolution of important waves as Bessel beams, plane waves, Gaussian beams, and Bessel–Gauss beams when truncated by finite apertures. One of the by-products of our mathematical method is that one can get in a few seconds, or minutes, high-precision results, which normally require quite lengthy numerical simulations. The method works in electromagnetism (optics, microwaves) as well as in acoustics.
©2012 Optical Society of America
Full Article | PDF ArticleMore Like This
Michel Zamboni-Rached, K. Z. Nóbrega, and C. A. Dartora
Opt. Express 20(18) 19972-19977 (2012)
Desheng Ding and Xiaojun Liu
J. Opt. Soc. Am. A 16(6) 1286-1293 (1999)
P. L. Overfelt and C. S. Kenney
J. Opt. Soc. Am. A 8(5) 732-745 (1991)