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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 15 — Aug. 1, 2007
  • pp: 2076–2078

Generation of hollow Gaussian beams by spatial filtering

Zhengjun Liu, Haifa Zhao, Jianlong Liu, Jie Lin, Muhammad Ashfaq Ahmad, and Shutian Liu  »View Author Affiliations


Optics Letters, Vol. 32, Issue 15, pp. 2076-2078 (2007)
http://dx.doi.org/10.1364/OL.32.002076


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Abstract

We demonstrate that hollow Gaussian beams can be obtained from Fourier transform of the differentials of a Gaussian beam, and thus they can be generated by spatial filtering in the Fourier domain with spatial filters that consist of binomial combinations of even-order Hermite polynomials. A typical 4 f optical system and a Michelson interferometer type system are proposed to implement the proposed scheme. Numerical results have proved the validity and effectiveness of this method. Furthermore, other polynomial Gaussian beams can also be generated by using this scheme. This approach is simple and may find significant applications in generating the dark hollow beams for nanophotonic technology.

© 2007 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: April 12, 2007
Revised Manuscript: May 23, 2007
Manuscript Accepted: May 27, 2007
Published: July 16, 2007

Citation
Zhengjun Liu, Haifa Zhao, Jianlong Liu, Jie Lin, Muhammad Ashfaq Ahmad, and Shutian Liu, "Generation of hollow Gaussian beams by spatial filtering," Opt. Lett. 32, 2076-2078 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-15-2076


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