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11 May 2007PDF models for uplink to space in the presence of beam wander
Larry C. Andrews,1 Ronald L. Phillips,2 Richard J. Sasiela,3 Ronald Parenti3
1Univ. of Central Florida (United States) 2Florida Space Institute, Univ. of Central Florida (United States) 3Lincoln Lab., Massachusetts Institute of Technology (United States)
In this paper we discuss several models for the probability density function (pdf) of the irradiance of a Gaussian-beam
wave from ground to space. We consider cases of tracked beams and untracked beams, both of which involve a certain
amount of beam wander. The various pdf models that we introduce are all compared with simulation data over a broad
range of beam diameters. We find that certain well-known models fit the simulation data in one of the regimes defined
by the ratio of beam radius W0 to Fried's parameter r0 (W0/r0 <<1, W0/r0 ~ 1, W0/r0 >> 1), but not generally in the other regimes. This is true for tracked beams as well as untracked beams. Two new pdf models, developed here as a
modulation of either the gamma-gamma pdf or the gamma pdf, are shown to provide excellent fits to the simulation
data over all three regimes defined above.
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Larry C. Andrews, Ronald L. Phillips, Richard J. Sasiela, Ronald Parenti, "PDF models for uplink to space in the presence of beam wander," Proc. SPIE 6551, Atmospheric Propagation IV, 655109 (11 May 2007); https://doi.org/10.1117/12.720681