Fractional Talbot effect in phase space: A compact summation formula
Optics
2015-06-26 v1 Quantum Physics
Abstract
A phase space description of the fractional Talbot effect, occurring in a one-dimensional Fresnel diffraction from a periodic grating, is presented. Using the phase space formalism a compact summation formula for the Wigner function at rational multiples of the Talbot distance is derived. The summation formula shows that the fractional Talbot image in the phase space is generated by a finite sum of spatially displaced Wigner functions of the source field.
Keywords
Cite
@article{arxiv.physics/9711004,
title = {Fractional Talbot effect in phase space: A compact summation formula},
author = {Konrad Banaszek and Krzysztof Wodkiewicz and Wolfgang P. Schleich},
journal= {arXiv preprint arXiv:physics/9711004},
year = {2015}
}
Comments
4 pages, LaTeX. Submitted to Optics Express