Fractional Talbot effect in phase space: A compact summation formula

Details Fractional Talbot effect in phase space: A compact summation formula Fractional Talbot effect in phase space: A compact summation formula

1997-11-06

arxiv.org/abs/physics/9711004v1

Optics Express 2, 169-172 (1998)

Physics

Optics

4 pages, LaTeX. Submitted to Optics Express

Scientific paper

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.

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