OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 350–357

Beam shaping using Gaussian beam modes

John Lavelle and Créidhe O’Sullivan  »View Author Affiliations


JOSA A, Vol. 27, Issue 2, pp. 350-357 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000350


View Full Text Article

Enhanced HTML    Acrobat PDF (311 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A beam shaping method is presented where a diffractive optical element (DOE) is designed by optimizing the complex mode coefficient weights of a set of Gaussian beam modes. This method is compared with the more standard unidirectional approach. Differential evolution is used for the optimization in both the unidirectional and Gaussian beam mode optimization methods. For the particular transforms carried out, the Gaussian beam mode set optimization (GBMSO) approach achieved more optimal solutions. The GBMSO approach is extended to design DOEs that control the amplitude distribution of a beam at multiple planes, rather than at just a single plane (i.e., the far field).

© 2010 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(260.1960) Physical optics : Diffraction theory

History
Original Manuscript: October 29, 2009
Manuscript Accepted: December 1, 2009
Published: January 29, 2010

Citation
John Lavelle and Créidhe O'Sullivan, "Beam shaping using Gaussian beam modes," J. Opt. Soc. Am. A 27, 350-357 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-2-350


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. Soifer, Methods for Computer Design of Diffractive Optical Elements (Wiley, 2002).
  2. H. Kim, B. Yang, and B. Lee, “Iterative Fourier transform algorithm with regularization for the optimal design of diffractive optical elements,” J. Opt. Soc. Am. A 21, 2353-2365 (2004). [CrossRef]
  3. J. Turunen and F. Wyrowski, Diffractive Optics for Industrial and Commercial Applications (Vch Verlagsgesellschaft Mbh, 1998).
  4. E. Johnson and M. Abushagur, “Microgenetic-algorithm optimization methods applied to dielectric gratings,” J. Opt. Soc. Am. A 12, 1152-1160 (1995). [CrossRef]
  5. K. Price, R. Storn, and J. Lampinend, Differential Evolution (Springer, 2005).
  6. C. Rocha-Alicanoa, D. Covarrubias-Rosalesa, C. Brizuela-Rodrigueza, and M. Panduro-Mendozab, “Differential evolution algorithm applied to sidelobe level reduction on a planar array,” AEU, Int. J. Electron. Commun. 61, 286-290 (2007). [CrossRef]
  7. J. Lavelle, “The design and optimisation of quasioptical telescopes,” Ph.D. dissertation (NUI Maynooth, 2008).
  8. D. O'Shea, T. Suleski, A. Kathman, and D. Prather, Diffractive Optics: Design, Fabrication, and Test (SPIE, 2003).
  9. J. Murphy, C. O'Sullivan, W. Lanigan, S. Withington, and N. Trappe, “Modal analysis of the quasi-optical performance of phase gratings,” Int. J. Infrared Millim. Waves 20, 1469-1486 (1999). [CrossRef]
  10. P. Goldsmith, Quasioptical Systems (IEEE, 1997).
  11. J. Durnin, “Diffraction free Bessel beams,” J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]
  12. S. Monk, J. Arlt, D. Robertson, J. Courtial, and M. Padgett, “The generation of Bessel beams at millimetre-wave frequencies by use of an axicon,” Opt. Commun. 170, 213-215 (1999). [CrossRef]
  13. N. Trappe, R. Mahon, W. Lanigan, J. A. Murphy, and S. Withington, “The quasi-optical analysis of Bessel beams in the far infrared,” Infrared Phys. Technol. 46, 233-247 (2005). [CrossRef]
  14. R. Di Leonardo, F. Ianni, and G. Ruocco, “Computer generation of optimal holograms for optical trap arrays,” Opt. Express 15, 1913-1922 (2007). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited