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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 1 — Jan. 1, 2002
  • pp: 116–121

Hollow beams of simple polarization for trapping and storing atoms

R. M. Herman and T. A. Wiggins  »View Author Affiliations


JOSA A, Vol. 19, Issue 1, pp. 116-121 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000116


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Abstract

We propose a scheme for producing and magnifying a hollow beam, as might be desired for purposes of storing and guiding cold atoms, through the use of a simple spherically aberrating lens and a projection lens. The field is a superposition of J0 Bessel fields, so that simple (linear, circular) polarizations can be utilized. We analyze some of the beam properties through analytical approximations. Some examples of field zeros along the optical axis are given, together with some of their characteristics. Numerical calculations largely confirm the validity of the analytical expressions. For the most important zero nearly all of the beam power is contained within the first two Bessel spacings, with a resulting highly efficient trapping. Isophotes are calculated and displayed for the region surrounding this null point. They have regular shapes, for which we give an approximate expression.

© 2002 Optical Society of America

OCIS Codes
(020.7010) Atomic and molecular physics : Laser trapping
(080.1010) Geometric optics : Aberrations (global)
(140.3300) Lasers and laser optics : Laser beam shaping
(220.1010) Optical design and fabrication : Aberrations (global)
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: December 7, 2000
Revised Manuscript: April 24, 2001
Manuscript Accepted: April 24, 2001
Published: January 1, 2002

Citation
R. M. Herman and T. A. Wiggins, "Hollow beams of simple polarization for trapping and storing atoms," J. Opt. Soc. Am. A 19, 116-121 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-1-116


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References

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