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

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

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