Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Xiaolu Ma,Dajun Liu,Guiqiu Wang,Yaochuan Wang,Hongming Yin,Haiyang Zhong

doi:10.3390/app10020450

Abstract

In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, σ , decreases, and the beam in stronger non-Kolmogorov turbulence (larger α and l 0 , or smaller L 0 ) will also have a larger beam size.

Highlights

In past years, the topic of beams propagating in atmospheric turbulence has been explored, and different models, such as Kolmogorov and non-Kolmogorov turbulences, were given to describe the atmosphere
The multi-Gaussian Schell-model (MGSM) beams will evolve into flat-topped beams, the beams generated by a MGSM source have attracted much attention [42,43,44,45,46,47,48]
We first introduce the model of a rectangular MGSM array beam, and investigate the evolutions of MGSM array beams propagating through free space and non-Kolmogorov turbulence

Summary

Introduction

The topic of beams propagating in atmospheric turbulence has been explored, and different models, such as Kolmogorov and non-Kolmogorov turbulences, were given to describe the atmosphere. The propagation properties of beams, such as average intensity, polarization, scintillation index, and degree of coherence, were widely investigated in Kolmogorov turbulent atmosphere [1,2,3,4,5,6,7,8,9,10,11] and non-Kolmogorov turbulence [12,13,14,15,16,17,18,19,20,21,22]. We first introduce the model of a rectangular MGSM array beam, and investigate the evolutions of MGSM array beams propagating through free space and non-Kolmogorov turbulence. Sci. 2020, 10, 450; doi:10.3390/app10020450 www.mdpi.com/journal/applsci introduce the model of a rectangular MGSM array beam, and investigate the evolutions of MGSM array beams propagating through free space and non-Kolmogorov turbulence

Analytical Expressions of MGSM Array

M array

Propagation Theory

Numerical Examples

The contour graphs of of

Conclusions