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Near-field imaging with two transmission gratings for submicrometer localization of atoms

Carnal, O. and Turchette, Q. A. and Kimble, H. J. (1995) Near-field imaging with two transmission gratings for submicrometer localization of atoms. Physical Review A, 51 (4). pp. 3079-3087. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:CARpra95

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Abstract

We show theoretically that an atomic pattern with period d can be obtained with 100% visibility even for an infinitely extended source by sending atoms through two transmission gratings with periods d and d/2, respectively, and separated by half the Talbot length LT/2=d^2/2λdB, where λdB is the atomic wavelength and the source is infinitely far away. For a finite source distance, as would be attainable in any real experiment, a small correction to the grating periods and separations restores the period-d pattern. This effect is closely related to the Talbot and Lau effects in classical optics and can be used to localize atoms to a submicrometer scale without a compromise in atomic flux. We first derive compact analytical formulas for the idealized case of a monochromatic source and large gratings and then verify numerically that a finite grating size and velocity dispersion in the beam do not decrease the fringe visibility considerably. Finally, we briefly present an experiment in preparation to exhibit this localization.


Item Type:Article
Additional Information:©1995 The American Physical Society Received 21 April 1994 The research was funded by the Office of Naval Research and by the National Science Foundation. O.C. would like to thank the Schweizerische Nationalfonds for financial support for his research at Caltech.
Record Number:CaltechAUTHORS:CARpra95
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CARpra95
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.51.3079
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2919
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:06 May 2006
Last Modified:26 Dec 2012 08:51

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