Scaling Limits for Beam Wave Propagation in Atmospheric Turbulence

TL;DR

This paper rigorously establishes the convergence of solutions for beam wave propagation in atmospheric turbulence to a Gaussian white-noise model, considering various turbulence scales and correlation properties.

Contribution

It provides a mathematical proof of the convergence of the parabolic wave equation solutions to a Gaussian white-noise model under specific turbulence conditions.

Findings

Convergence of wave solutions to Gaussian white-noise model

Analysis of limits involving inner and outer turbulence scales

Conditions on isotropic turbulence with integrable correlation

Abstract

We prove the convergence of the solutions of the parabolic wave equation to that of the Gaussian white-noise model widely used in the physical literature. The random medium is isotropic and is assumed to have integrable correlation coefficient in the propagation direction. We discuss the limits of vanishing inner scale and divergent outer scale of the turbulent medium.