Generation of Talbot-like fields
Optics
2022-06-20 v1
Abstract
We 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.
Keywords
Cite
@article{arxiv.2104.00070,
title = {Generation of Talbot-like fields},
author = {Jorge A. Anaya-Contreras and Arturo Zúñiga-Segundo and D. Sánchez-de-la-Llave and Héctor M. Moya-Cessa},
journal= {arXiv preprint arXiv:2104.00070},
year = {2022}
}
Comments
5 pages, 4 figures