Correlations of the phase gradients of the light wave propagating in a turbulent medium in the regime of weak scintillations

TL;DR

This paper numerically investigates the correlation functions of light wave phases in turbulent media, confirming analytical predictions and focusing on phase gradient correlations insensitive to turbulence outer scale.

Contribution

It provides numerical validation of analytical expressions for phase gradient correlations in weak scintillation regimes, emphasizing the off-diagonal component's properties.

Findings

Numerical results agree with analytical models.

Off-diagonal phase gradient correlations are insensitive to outer turbulence scale.

Confirms uniformity of perturbation theory for the logarithm of the wave envelope.

Abstract

We investigate numerically correlation functions of the phase of light waves that propagate through turbulent media. Special attention is paid to the off-diagonal component of the correlation function of the phase gradients which is insensitive to the outer scale of turbulence. The results of our simulations are in a good agreement with the analytical expressions obtained in Ref. \cite{KLS25}. Thus, we numerically confirm expectations based on uniformity of the perturbation theory for the logarithm of the envelope.