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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 19 — Oct. 1, 2006
  • pp: 2912–2914

Generalized Helmholtz–Gauss beam and its transformation by paraxial optical systems

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega  »View Author Affiliations

Optics Letters, Vol. 31, Issue 19, pp. 2912-2914 (2006)

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We introduce the generalized Helmholtz–Gauss (gHzG) beam and analyze its propagation through optical systems described by A B C D matrices with real and complex elements. The transverse mathematical structure of the gHzG beam is form invariant under paraxial transformations and reduces to those of ordinary HzG and modified HzG beams as special cases. We derive a closed-form expression for the fractional Fourier transform of gHzG beams.

© 2006 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(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

Original Manuscript: June 15, 2006
Revised Manuscript: July 25, 2006
Manuscript Accepted: July 26, 2006
Published: September 11, 2006

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega, "Generalized Helmholtz-Gauss beam and its transformation by paraxial optical systems," Opt. Lett. 31, 2912-2914 (2006)

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