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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. 8 — Aug. 1, 2002
  • pp: 1572–1582

Incoherent superposition of off-axis polychromatic Hermite–Gaussian modes

Luis Martı́-López, Omel Mendoza-Yero, and Joris J. J. Dirckx  »View Author Affiliations


JOSA A, Vol. 19, Issue 8, pp. 1572-1582 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001572


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Abstract

We study a statistical ensemble of multimode laser beams. Each beam is made up of an incoherent superposition of off-axis polychromatic Hermite–Gaussian modes. We obtain analytic expressions for the squared beam radius, the waist position, the Rayleigh range, the skewness parameter, the kurtosis parameter, and the squared beam-propagation factor. We demonstrate that the squared beam radius has a quadratic dependence on the distance from the waist plane. The skewness parameter may be different from zero in the near-field zone, but it tends to zero in the far-field zone. The kurtosis parameter in the far-field zone coincides with the kurtosis parameter of the incoherent superposition of on-axis modes.

© 2002 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: August 24, 2001
Revised Manuscript: December 5, 2001
Manuscript Accepted: March 7, 2002
Published: August 1, 2002

Citation
Luis Martı́-López, Omel Mendoza-Yero, and Joris J. J. Dirckx, "Incoherent superposition of off-axis polychromatic Hermite–Gaussian modes," J. Opt. Soc. Am. A 19, 1572-1582 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1572

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