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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 3 — Mar. 1, 2011
  • pp: 489–495

Variant of the method of Fox and Li dedicated to intracavity laser beam shaping

Emmanuel Cagniot, Michael Fromager, Thomas Godin, Nicolas Passilly, Marc Brunel, and Kamel Ait-Ameur  »View Author Affiliations

JOSA A, Vol. 28, Issue 3, pp. 489-495 (2011)

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We present a variant of the method of Fox and Li [ Bell Syst. Tech. J. 40, 453 (1961); Proc. IEEE 51, 80 (1963)] dedicated to intracavity laser beam shaping for resonators containing an arbitrary number of amplitude and phase diffractive optics. Contrary to Fox and Li, the starting point is the desired field. The latter is injected into the usual sequence of lenses representing just a single round trip, and the optimization process iterates until the input and the output fields match as much as possible. We illustrate this technique by deriving a simple model for generating single cylindrical TEM p 0 modes, thanks to a π-phase plate placed inside a plano-concave cavity. The experimental validation attests an excellent agreement with numerical predictions.

© 2011 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1380) Diffraction and gratings : Binary optics
(050.1755) Diffraction and gratings : Computational electromagnetic methods

ToC Category:
Diffraction and Gratings

Original Manuscript: November 17, 2010
Revised Manuscript: January 14, 2011
Manuscript Accepted: January 15, 2011
Published: March 1, 2011

Emmanuel Cagniot, Michael Fromager, Thomas Godin, Nicolas Passilly, Marc Brunel, and Kamel Ait-Ameur, "Variant of the method of Fox and Li dedicated to intracavity laser beam shaping," J. Opt. Soc. Am. A 28, 489-495 (2011)

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