Outer-scale effects on beam-wander and angle-of-arrival variances

Abstract

Single-integral equations are developed for the angle-of-arrival and beam-wander variances of propagated gaussian and uniform-intensity beams through refractive turbulence with a finite outer scale. The equations developed for Gaussian beams include initial wave-front curvature, diffraction, and turbulent spreading effects. Form-fitting expressions are used in both cases to reduce second- and third-order integral equations into equivalent single-integral forms. Numerical calculations with these new approximations give results within a few percent of the results obtained by using the more rigorous multiple integral expressions. Spectral analysis indicates that the refractive-index turbule size with the greatest influence on beam wander and angle of arrival is proportional to the outer-scale size.

Dependence of the beam wander of an airy beam on its kurtosis parameter in a turbulent atmosphere

“…3 shows that the inner scale of the turbulent atmosphere hardly affects the beam wander of Airy beam, which agrees with the existing results [18]. The outer scale of the turbulent atmosphere is neglected in this letter since it has been considered elsewhere [25]. Fig.…”

Scintillation and beam-wander analysis in an optical ground station-satellite uplink

“…͑iii͒ As is well known, formulations proposed for the characterization of beam wander, 18,19 as it occurs with fluctuations in the angle of arrival in the downlink, are deduced through physical considerations and mathematical tools that are entirely different from Rytov or other perturbative techniques. So it is implicitly recognized that no perturbative technique can treat such a phenomenon as beam wander.…”

Turbulence Simulation: On Phase and Deflector Screen Generation

“…These factors indicate that finite width beams must be considered in evaluating Aa. Elements of this issue were considered previously when evaluating beam-wave angle-of-arrival calculations in Tofsted (1992). That document contained a derivation for angle-of-arrival variance of a uniform cross-section beam.…”