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Phase Screen Generation for Non-Kolmogorov Turbulence

Imaging and Applied Optics Congress 2022 (3D, AOA, COSI, ISA, pcAOP), 2022
Measurements of atmospheric turbulence frequently show non-Kolmogorov statistics. This paper explores two methods of numerical phase screen generation for such turbulence. The results show that both methods are accurate, but one runs 285 times faster.
Jason Salmanowitz, Noah R. Van Zandt
openaire   +1 more source

Non-Kolmogorov turbulence

Imaging and Applied Optics 2017 (3D, AIO, COSI, IS, MATH, pcAOP), 2017
Occasionally, non-Kolmogorov turbulence plays an important role for optical propagation in the turbulent atmosphere. Here, we discuss two major causes of non-Kolmogorov turbulence: Batchelor scaling in the viscous-convective range, and anisotropy.
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Non-Kolmogorov Turbulence: Does it matter?

OSA Imaging and Applied Optics Congress 2021 (3D, COSI, DH, ISA, pcAOP), 2021
We investigate the impact of non-Kolmogorov turbulence on a propagating beam by examining the resulting Rytov variance, Fried parameter, isoplanatic angle and beam radius with particular consideration of the generalized structure function parameter.
openaire   +1 more source

Violation of Bell’s Inequality and non-Kolmogorovness

AIP Conference Proceedings, 2009
In this paper we would like to stress that, besides two commonly discussed conditions inducing violation of Bell’s inequality—nonlocality and death of realism—there is the third condition having the same consequence. This is the condition of probabilistic incompatibility (PI) of random variables—impossibility to realize them on a single probability ...
Andrei Khrennikov   +7 more
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Zernike expansions for non-Kolmogorov turbulence

Journal of the Optical Society of America A, 1996
We investigate the expression of non-Kolmogorov turbulence in terms of Zernike polynomials. Increasing the power-law exponent of the three-dimensional phase power spectrum from 2 to 4 results in a higher proportion of wave-front energy being contained in the tilt components.
Boreman, Glenn D., Dainty, Christopher
openaire   +2 more sources

Differential piston phase variance in non-Kolmogorov atmospheres

Journal of the Optical Society of America A, 2017
We derive a generalized expression for the differential piston phase variance in non-Kolmogorov turbulence. Specifically, our result applies in the case where index of refraction is described by a power-law medium with an exponent between 0 and 1. Kolmogorov assumptions of homogeneity and isotropy are maintained.
Jeremy P, Bos   +2 more
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Measurement of a Non-Kolmogorov Structure Function

Adaptive Optics, 1996
The structure function of atmospheric phase fluctuations is defined as follows: A generalised model for the structure function of phase is: ℛ 0 is related to the size of the long-exposure image formed by a large-aperture telescope, while γ ß is a parameter which depends on ß and on the precise definition of ℛ 0 The ...
Tom Nicholls   +2 more
openaire   +1 more source

Equivalence of structure constants in non-Kolmogorov and Kolmogorov spectra

Optics Letters, 2011
We find the equivalence of the structure constants in non-Kolmogorov and Kolmogorov spectra in a turbulent atmosphere. As the reference point, the spherical wave scintillation index in a non-Kolmogorov medium is used. Relations of the structure constants are found to be functions of the power law of the turbulence spectrum and the Fresnel zone. It will
Yahya, Baykal, Hamza, Gerçekcioğlu
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Multicomponent turbulence, the spherical limit, and non-Kolmogorov spectra

Physical Review E, 1995
A set of models for homogeneous, isotropic turbulence is considered in which the Navier-Stokes equations for incompressible fluid flow are generalized to a set of N coupled equations in N velocity fields. It is argued that in order to be useful these models must embody a new group of symmetries, and a general formalism is laid out for their ...
, Mou, , Weichman
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Cross beam scintillations in non-Kolmogorov medium

Journal of the Optical Society of America A, 2014
For the collimated and focused cross beams, the on-axis scintillation index is evaluated when these beams propagate in weak non-Kolmogorov turbulence. In the limiting cases, our solution correctly reduces to the known Gaussian beam scintillations in Kolmogorov turbulence.
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