Modeling the PDF for the irradiance of an uplink beam in the presence of beam wander

Ronald Parenti; Richard J. Sasiela; Larry C. Andrews; Ronald L. Phillips

doi:10.1117/12.666547

17 May 2006 Modeling the PDF for the irradiance of an uplink beam in the presence of beam wander

Ronald Parenti, Richard J. Sasiela, Larry C. Andrews, Ronald L. Phillips

Proceedings Volume 6215, Atmospheric Propagation III; 621508 (2006) https://doi.org/10.1117/12.666547
Event: Defense and Security Symposium, 2006, Orlando (Kissimmee), Florida, United States

Abstract

Recent studies of ground-to-space beam propagation have revealed significant departures from Rytov theory when the beam diameter w₀ is on the order of the atmospheric coherence width r₀. It has been shown that such departures from Rytov theory are primarily a consequence of beam wander and other low-order aberrations. In this paper we discuss modeling of the probability density function (PDF) for uplink beams. In particular, we show how the PDF transitions from lognormal statistics when w₀/r₀ << 1 to the negative exponential distribution when w₀/r₀ >> 1. The most interesting regime is the transition region near w₀/r₀ = 1, where the statistical behavior of tracked and untracked beams differs significantly.

Citation Download Citation

Ronald Parenti, Richard J. Sasiela, Larry C. Andrews, and Ronald L. Phillips "Modeling the PDF for the irradiance of an uplink beam in the presence of beam wander", Proc. SPIE 6215, Atmospheric Propagation III, 621508 (17 May 2006); https://doi.org/10.1117/12.666547

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