Abstract

The expressions of wave structure function (WSF) and long-exposure modulation transfer function (MTF) for laser beam propagation through non-Kolmogorov turbulence were derived in our previous work. In this paper, based on anisotropic maritime atmospheric non-Kolmogorov spectrum, the new analytic expression of WSF for Gaussian-beam waves propagation through turbulent atmosphere in a horizontal path is derived. Moreover, using this newly derived expression, long-exposure MTF for Gaussian-beam waves is obtained for analyzing the degrading effects in an imaging system. Using the new expressions, WSF and MTF for Gaussian-beam waves propagating in terrestrial and maritime atmospheric turbulence are evaluated. The simulation results show that Gaussian-beam waves propagation through maritime turbulence obtain more degrading effects than terrestrial turbulence due to the humidity and temperature fluctuations. Additionally, the degrading effects under anisotropic turbulence get less loss than that of isotropic turbulence.

Highlights

  • Beam spreading that is caused by atmospheric turbulence occupies a very important position in free space optics communication systems, because it determines the loss of the power at the receiver plane [1]

  • The long-exposure modulation transfer function (MTF) for Gaussian-beam waves can be obtained. These new expressions can be used under the terrestrial atmospheric turbulence as well as the maritime atmospheric turbulence

  • The degrading effects for the plane and spherical waves are evaluated as the special case of Gaussian-beam waves

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Summary

Introduction

Beam spreading that is caused by atmospheric turbulence occupies a very important position in free space optics communication systems, because it determines the loss of the power at the receiver plane [1]. Cheng et al evolved receiver-aperture-averaged scintillation index for Gaussian waves by extending the power spectrum on non-Kolmogorov maritime atmospheric turbulence [18]. Using this non-Kolmogorov power spectrum, Golmohammady et al derived on-axis scintillation index and analyzed the bit error rate of a partially coherent flat-topped optical wave [19]; Ma el al. In this study using the power spectrum proposed by Cheng et al in [18], we will derive new WSF and long-exposure MTF expressions for the Gaussian-beam waves that propagate in the anisotropic non-Kolmogorov maritime atmospheric turbulence. The influences of the power law exponent α, the turbulence strength σR2 , the turbulence scale L0 , and the anisotropic factor, ζ, are carefully analyzed

Anisotropic Maritime Atmospheric Spectrum
Gaussian-Beam Wave Structure Function
Longitudinal Component of the WSF
Radial Component of the WSF
MTF Model and Numerical Analysis
Conclusions
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