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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

  • Editor: Franco Gori
  • Vol. 27, Iss. 10 — Oct. 1, 2010
  • pp: 2169–2179

Beam scintillations for ground-to-space propagation. Part I: Path integrals and analytic techniques

Mikhail Charnotskii  »View Author Affiliations


JOSA A, Vol. 27, Issue 10, pp. 2169-2179 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002169


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Abstract

We extend our theory of on-axis beam scintillations [Waves Random Media 4, 243 (1994)] for the case of propagation on slant turbulent paths, where turbulence is concentrated in a relatively thin layer near the transmitter. Our technique is based on the parabolic equation for optical wave propagation and the Markov approximation for the calculation of statistical moments of beam intensity. This first of two companion papers presents the details of the path integral formulation of the solution for the fourth-order coherence function. We also discuss in detail two analytic techniques that can be used for the treatment of the path integrals.

© 2010 Optical Society of America

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(010.7060) Atmospheric and oceanic optics : Turbulence
(290.5930) Scattering : Scintillation
(290.2558) Scattering : Forward scattering

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: May 4, 2010
Manuscript Accepted: August 11, 2010
Published: September 16, 2010

Citation
Mikhail Charnotskii, "Beam scintillations for ground-to-space propagation. Part I: Path integrals and analytic techniques," J. Opt. Soc. Am. A 27, 2169-2179 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-10-2169


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References

  1. G. J. Baker, “Gaussian beam weak scintillation: Low-order turbulence effects and applicability of the Rytov method,” J. Opt. Soc. Am. A 23, 395–417 (2006). [CrossRef]
  2. L. C. Andrews, R. L. Phillips, R. J. Sasiela, and R. R. Parenti, “Strehl ratio and scintillation theory for uplink Gaussian-beam waves: beam wander effects,” Opt. Eng. 45, 076001 (2006). [CrossRef]
  3. M. I. Charnotskii, “Laser beam propagation in the low-order turbulence: Exact solution,” Proc. SPIE 7324, 734203-1–734203-8 (2009).
  4. V. A. Banakh and I. N. Smalikho, “Laser beam propagation along extended vertical and slant paths in the turbulent atmosphere,” Atmos. Oceanic Opt. 5, 233–237 (1992).
  5. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics. Vol. 4. Wave Propagation through Random Media (Springer, 1988).
  6. M. I. Charnotskii, “Asymptotic analysis of finite beam scintillations in a turbulent medium,” Waves Random Media 4, 243–273 (1994). [CrossRef]
  7. M. I. Charnotskii, “Strong intensity fluctuations of finite light beams in a turbulent atmosphere,” in Proceedings of 5th Symposium on Laser Propagation in the Atmosphere, (USSR Acad. Sci., Siberia, 1979), pp. 74–78.
  8. M. I. Charnotskii, “Beam scintillations for ground-to-space propagation II. Gaussian beam scintillation,” J. Opt. Soc. Am. A 27, 2180–2187 (2010). [CrossRef]
  9. M. I. Charnotskii, J. Gozani, V. I. Tatarskii, and V. U. Zavorotny, “Wave propagation theories in random media based on the path-integral approach,” in Progress in Optics, Vol. XXXII, E.Wolf, ed. (North-Holland, 1993). [CrossRef]
  10. V. I. Tatarskii, “Light propagation in a medium with random refractive index inhomogeneties in Markov random process approximation,” Sov. Phys. JETP 29, 1133–1147 (1969).
  11. E. A. Novikov, “The solution of some variational differential equations,” Usp. Mat. Nauk 16, 135–141 (1961).
  12. K. K. Sabelfeld and V. I. Tatarskii, “Approximate calculation of Wiener continual integrals,” Sov. Phys. Dokl. 243, 905–908 (1978).
  13. M. I. Charnotskii, “Coherent channel expansion in the theory of wave propagation in turbulence,” in Proceedings of the Progress in Electromagnetic Research Symposium (PIERS 95), J.A.Kong, ed. (University of Washington, 1995), p. 110.
  14. I. G. Yakushkin, “Intensity fluctuations of wave field scattered at small angles,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 28, 535–565 (1985). (In Russian).
  15. G. Y. Wang and R. Dashen, “Intensity moments for waves in random-media: three-order standard asymptotic calculation,” J. Opt. Soc. Am. A 10, 1226–1232 (1993). [CrossRef]
  16. V. U. Zavorotnyy, “Strong fluctuations of the wave intensity behind a randomly inhomogeneous layer,” Radiophys. Quantum Electron. 22, 352–354 (1979). [CrossRef]

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