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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 33 — Nov. 20, 1998
  • pp: 7655–7660

Time-of-Arrival Fluctuations of a Space–Time Gaussian Pulse in Weak Optical Turbulence: an Analytic Solution

Cynthia Y. Young, Larry C. Andrews, and Akira Ishimaru  »View Author Affiliations


Applied Optics, Vol. 37, Issue 33, pp. 7655-7660 (1998)
http://dx.doi.org/10.1364/AO.37.007655


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Abstract

An analytic expression is derived for the long-term temporal broadening (fluctuations of arrival time) of a collimated space-time Gaussian pulse propagating along a horizontal path through weak optical turbulence. General results are presented for nominal parameter values characterizing laser communication through the atmosphere. Specific examples are calculated for both upper-atmosphere and ground-level cross links. It is shown that, for upper-atmosphere cross links, pulses shorter than 100 fs have considerable broadening, whereas at ground level, broadening is predicted in pulses as long as 1 ps.

© 1998 Optical Society of America

OCIS Codes
(010.7060) Atmospheric and oceanic optics : Turbulence
(140.3300) Lasers and laser optics : Laser beam shaping
(320.5550) Ultrafast optics : Pulses
(350.6090) Other areas of optics : Space optics

Citation
Cynthia Y. Young, Larry C. Andrews, and Akira Ishimaru, "Time-of-Arrival Fluctuations of a Space–Time Gaussian Pulse in Weak Optical Turbulence: an Analytic Solution," Appl. Opt. 37, 7655-7660 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-33-7655


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References

  1. C. Y. Young, A. Ishimaru, L. C. Andrews, “Two-frequency mutual coherence function of a Gaussian beam pulse in weak optical turbulence: an analytic solution,” Appl. Opt. 35, 6522–6526 (1996).
  2. S. T. Hong and A. Ishimaru, “Two-frequency mutual coherence function, coherence bandwidth, and coherence time of millimeter and optical waves in rain, fog, and turbulence,” Radio Sci. 11, 551–559 (1976).
  3. I. Sreenivasiah, A. Ishimaru, and S. T. Hong, “Two-frequency mutual coherence function and pulse propagation in random media: an analytic solution to the plane wave case,” Radio Sci. 11, 775–778 (1976).
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  5. A. Ishimaru, Wave Propagation and Scattering in Random Media (IEEE, New York, 1997).
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  7. C. H. Liu and K. C. Yeh, “Propagation of pulsed beam waves through turbulence, cloud, rain, or fog,” J. Opt. Soc. Am. 67, 1261–1266 (1977).
  8. C. H. Liu and K. C. Yeh, “Pulse spreading and wandering in random media,” Radio Sci. 14, 925–931 (1979).
  9. C. E. Coulman, J. Vernin, Y. Coqueugniot, and J. L. Caccia, “Outer scale of turbulence appropriate to modeling refractive-index structure profiles,” Appl. Opt. 27, 155–160 (1988).

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