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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 22 — Aug. 1, 2009
  • pp: 4338–4347

Angular spread and directionality of the Hermite–Gaussian array beam propagating through atmospheric turbulence

Xiaoqing Li and Xiaoling Ji  »View Author Affiliations


Applied Optics, Vol. 48, Issue 22, pp. 4338-4347 (2009)
http://dx.doi.org/10.1364/AO.48.004338


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Abstract

Using the integral transform technique, the analytical expressions for the mean-squared beam width and the angular spread of the Hermite–Gaussian (H–G) array beam in turbulence are derived for the case of both coherent and incoherent combinations. It is shown that the angular spread of the H–G array beam for the coherent combination may be more or less affected by turbulence than that for the incoherent combination (or a single H–G beam) depending on the beam parameters. For the coherent combination, there exists the oscillatory behavior of the angular spread, and the influence of turbulence on the angular spread is not monotonic versus the beam parameters. In addition, for the coherent combination case, the angular spread of the H–G array beam is less affected by turbulence than that of the Gaussian array beam. On the other hand, it is found that under a certain condition, the H–G array beam may have the same directionality as a single Gaussian beam both in free space and in turbulence if the angular spread is chosen as the characteristic parameter of the beam directionality. The main results are explained physically.

© 2009 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(030.7060) Coherence and statistical optics : Turbulence

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: November 17, 2008
Revised Manuscript: June 23, 2009
Manuscript Accepted: June 30, 2009
Published: July 22, 2009

Citation
Xiaoqing Li and Xiaoling Ji, "Angular spread and directionality of the Hermite-Gaussian array beam propagating through atmospheric turbulence," Appl. Opt. 48, 4338-4347 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-22-4338


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