Comparison between quadratic approximation and δ expansion in studying the spreading of multi-Gaussian beams in turbulent atmosphere
Applied Optics, Vol. 49, Issue 2, pp. 204-212 (2010)
http://dx.doi.org/10.1364/AO.49.000204
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Abstract
Based on quadratic approximation and δ expansion in the first order, the analytical expressions for multi-Gaussian beams in a turbulent atmosphere have been derived. By comparing the two approaches with numerical calculations, the relative errors of average intensity are investigated. As special cases, the relative errors for Gaussian beams, flattened Gaussian beams, and annular beams are investigated. The investigation shows that the method of δ expansion in the first order agrees well with numerical calculations, no matter what the effect of turbulence. If the effect of turbulence is large enough, the relative error of on-axis intensity trends to a constant. The maximum of relative error is about 2.8%. However, quadratic approximation does not give satisfying results under some circumstance even when the effect of turbulence is small. The relative error of on-axis intensity reaches 9.2% when the effect of turbulence is large enough.
© 2010 Optical Society of America
OCIS Codes
(000.4430) General : Numerical approximation and analysis
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
ToC Category:
Atmospheric and Oceanic Optics
History
Original Manuscript: November 2, 2009
Manuscript Accepted: December 2, 2009
Published: January 7, 2010
Citation
Xiuxiang Chu and Zejin Liu, "Comparison between quadratic approximation and δ expansion in studying the spreading of multi-Gaussian beams in turbulent atmosphere," Appl. Opt. 49, 204-212 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-2-204
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