dorsal/arxiv
View SchemaFractional Talbot effect in phase space: A compact summation formula
| Authors | Konrad Banaszek, Krzysztof Wodkiewicz, Wolfgang P. Schleich |
|---|---|
| Categories | |
| ArXiv ID | physics/9711004 |
| URL | https://arxiv.org/abs/physics/9711004 |
| DOI | 10.1364/OE.2.000169 |
| Journal | Optics Express 2, 169-172 (1998) |
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.
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"abstract": "A phase space description of the fractional Talbot effect, occurring in a\none-dimensional Fresnel diffraction from a periodic grating, is presented.\nUsing the phase space formalism a compact summation formula for the Wigner\nfunction at rational multiples of the Talbot distance is derived. The summation\nformula shows that the fractional Talbot image in the phase space is generated\nby a finite sum of spatially displaced Wigner functions of the source field.",
"arxiv_id": "physics/9711004",
"authors": [
"Konrad Banaszek",
"Krzysztof Wodkiewicz",
"Wolfgang P. Schleich"
],
"categories": [
"physics.optics",
"quant-ph"
],
"doi": "10.1364/OE.2.000169",
"journal_ref": "Optics Express 2, 169-172 (1998)",
"title": "Fractional Talbot effect in phase space: A compact summation formula",
"url": "https://arxiv.org/abs/physics/9711004"
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