# Randomized Spectral Sampling for Efficient Simulation of Laser Propagation through Optical Turbulence

## TL;DR

This paper introduces a novel spectral sampling method for atmospheric turbulence phase screens that improves simulation efficiency and accuracy, especially for long-range optical propagation, by leveraging Fourier transform properties.

## Contribution

The paper presents a new spectral sampling technique based on Fourier shift properties that enhances turbulence simulation accuracy without extra computational costs.

## Key findings

- Method produces low spatial frequency distortions effectively.
- Performance matches or exceeds existing methods for finite outer scale turbulence.
- Advantages over standard methods for long-range atmospheric optical simulations.

## Abstract

We present a new method for the generation of atmospheric turbulence phase screens based on the frequency shift property of the Fourier transform. This method produces low spatial frequency distortions without additional computation time penalties associated with methods using subharmonic subgrids. It is demonstrated that for simulations of atmospheric turbulence with finite outer scales, the performance of our method with respect to the statistical phase structure function of the screen meets or exceeds other methods with respect to agreement with theory. We outline small-scale accuracy issues associated with modelling non-Kolmogorov spectral power laws using existing techniques, and propose a solution. For simulations of long-range propagation through atmospheric optical turbulence, our method provides various advantages over standard methods.