Journal ArticleDOI
Scintillation properties of dark hollow beams in a weak turbulent atmosphere
TLDR
In this paper, the on-axis scintillation index for a circular dark hollow beam (DHB) propagating in a weak turbulent atmosphere is formulated, and the scintillator properties of a DHB are investigated in detail.Abstract:
The on-axis scintillation index for a circular dark hollow beam (DHB) propagating in a weak turbulent atmosphere is formulated, and the scintillation properties of a DHB are investigated in detail. The scintillation index for a DHB reduces to the scintillation index for a Gaussian beam, an annular beam and a flat-topped beam under certain conditions. It is found that the scintillation index of a DHB is closely related to the beam parameters and can be lower than that of a Gaussian beam, an annular beam and a flat-topped beam in a weak turbulent atmosphere at smaller waist sizes and longer propagation lengths.read more
Citations
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Journal ArticleDOI
M2-factor of coherent and partially coherent dark hollow beams propagating in turbulent atmosphere.
TL;DR: The numerical results show that the M(2)- factor of a DHB in turbulent atmosphere increases on propagation, which is much different from its invariant properties in free-space, and is mainly determined by the parameters of the beam and the atmosphere.
Journal ArticleDOI
Propagation of Partially Coherent Beam in Turbulent Atmosphere: a Review (Invited Review)
TL;DR: In this paper, the basic theory for treating the propagation of optical beams in turbulent atmosphere is described, and recent theoretical and experimental developments on propagation of a partially coherent beam in turbulent environment are reviewed.
Journal ArticleDOI
Propagation of various flat-topped beams in a turbulent atmosphere
TL;DR: In this article, the average intensity of flat-topped beams propagating in a turbulent atmosphere is derived in a tensor form, and the formulae derived can be easily reduced to those for flat-top beams in free space.
Journal ArticleDOI
Scintillations of partially coherent multiple Gaussian beams in turbulence.
TL;DR: For an incidence composed of partially coherent multiple Gaussian beams, Huygens-Fresnel principle-based on-axis scintillation index is formulated in a weakly turbulent homogeneous horizontal atmospheric path and scintillations increase steadily as the Rytov plane wave scintilling index increases.
Journal ArticleDOI
Investigation on the scintillation reduction of elliptical vortex beams propagating in atmospheric turbulence
Xianhe Liu,Jixiong Pu +1 more
TL;DR: The numerically investigated scintillation index of an elliptical vortex beam in both modest turbulence and strong turbulence shows that the topological charge and the ratio of minor axis to major axis of an ellipsoidal beam are important in determining the on-axis scintillation index.
References
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TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
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TL;DR: Laser beams that contain phase singularities can be generated with computer-generated holograms, which in the simplest case have the form of spiral Fresnel zone plates.