Author:
Anaya-Contreras Jorge A.,Zúñiga-Segundo Arturo,Sánchez-de-la-Llave David,Moya-Cessa Héctor M.
Abstract
AbstractWe present an integral of diffraction based on particular eigenfunctions of the Laplacian in two dimensions. We show how to propagate some fields, in particular a Bessel field, a superposition of Airy beams, both over the square root of the radial coordinate, and show how to construct a field that reproduces itself periodically in propagation, i.e., a field that renders the Talbot effect. Additionally, it is shown that the superposition of Airy beams produces self-focusing.
Publisher
Springer Science and Business Media LLC