Abstract

Propagation properties in the turbulence atmosphere of the optical coherence vortex lattices (OCVLs) are explored by the recently developed convolution approach. The evolution of spectral density distribution, the normalized M 2 -factor, and the beam wander of the OCVLs propagating through the atmospheric turbulence with Tatarskii spectrum are illustrated numerically. Our results show that the OCVLs display interesting propagation properties, e.g., the initial Gaussian beam distribution will evolve into hollow array distribution on propagation and finally becomes a Gaussian beam spot again in the far field in turbulent atmosphere. Furthermore, the OCVLs with large topological charge, large beam array order, large relative distance, and small coherence length are less affected by the negative effects of turbulence. Our results are expected to be used in the complex system optical communications.

Highlights

  • Optical lattices can be viewed as a typical kind of beam arrays, which display sufficiently small beam spots

  • The optical coherence vortex lattices (OCVLs) with prescribed beam parameters are less affected by the turbulence, which will be useful for free-space optical communications

  • We explore the beam wander of the OCVLs in turbulent atmosphere for by for> large topological beamvortex array order, and small theturbulence

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Summary

Introduction

Optical lattices can be viewed as a typical kind of beam arrays, which display sufficiently small beam spots. Periodic reciprocity means the periodic degree of coherence at the source plane transfers the periodicity to the transverse intensity distribution after a long propagation distance Both scalar and vector OCLs were generated in experiment [4,5]. The statistical properties, e.g., degree of coherence [13], beam spreading [14,15], propagation factor [16,17,18], Rayleigh range [19], and scintillation index [20,21,22] of different kinds of partially coherent beams in free space and in various turbulent atmosphere have been studied in detail. We investigate the statistical properties (i.e., spectral density distribution, normalized M2 -factor, and beam wander) of optical coherence vortex lattices (OCVLs) in turbulent atmosphere by using the recently developed convolution approach. The OCVLs with prescribed beam parameters are less affected by the turbulence, which will be useful for free-space optical communications

Formulation of the Propagation of OCLVs in Turbulent Atmosphere
D E r 2 16π
Spectral
Spectral in turbulent atmosphere at z m for different l with λ
Normalized
Beam Wander
Conclusions
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