scholarly journals Classification of coherent vortices creation and distance of topological charge conservation in non-Kolmogorov atmospheric turbulence

2015 ◽  
Vol 23 (9) ◽  
pp. 11556 ◽  
Author(s):  
Jinhong Li ◽  
Jun Zeng ◽  
Meiling Duan
Keyword(s):  
Atmospheric Turbulence ◽  
Topological Charge ◽  
Charge Conservation ◽  
Coherent Vortices

TOPOLOGY AND LATTICES

1989 ◽  
Vol 04 (16) ◽  
pp. 1537-1547
Author(s):  
RADEL BEN-AV ◽  
SORIN SOLOMON
Keyword(s):  
Closed Form ◽  
Topological Charge ◽  
Spin Model ◽  
Topological Classification ◽  
Gauge Model ◽  
Homotopy Classes ◽  
Continuous Deformation ◽  
Definition Of ◽  
The Continuum

The concept of interpolation relates lattice configurations to continuum configurations. This relation induces from the continuum to the lattice the definitions of “continuous deformation”, topological classification and homotopy classes. The lattice homotopy classes obtained this way are separated by boundaries made out of “exceptional configurations” (EC). The EC boundaries allow the topological classification of the lattice configurations even in models in which it is impossible (or cumbersome) to give in a closed form, a definition of the topological charge in terms of lattice variables. We give the description of the EC boundaries for the 2-dimensional XY spin model and the 4-dimensional SU(2) gauge model.

Distance for Conservation of Topological Charge in Atmospheric Turbulence

2015 ◽  
Vol 35 (s1) ◽  
pp. s101005
Author(s):  
曾军 Zeng Jun ◽  
李晋红 Li Jinhong
Keyword(s):  
Atmospheric Turbulence ◽  
Topological Charge

scholarly journals Spreading properties of a multi-Gaussian Schell-modelvortex beam in slanted atmospheric turbulence

2020 ◽  
Vol 50 (1) ◽  
Author(s):  
Shuai Chang ◽  
Yansong Song ◽  
Yan Dong ◽  
Keyan Dong
Keyword(s):  
Spectral Density ◽  
Gaussian Beam ◽  
Density Function ◽  
Atmospheric Turbulence ◽  
Zenith Angle ◽  
Topological Charge ◽  
Spectral Density Function ◽  
Beam Parameter ◽  
Far Field ◽  
Cross Spectral Density

The cross-spectral density function of a multi-Gaussian Schell-model vortex (MGSMV) beam propagating through slanted atmospheric turbulence was derived, and the influences of the MGSMV beam parameter and slanted atmospheric turbulence on the spreading properties of a MGSMV beam are studied. One can find that a MGSMV beam propagating in slanted atmospheric turbulence can evolve into the flat-topped beam, and a MGSMV beam with larger index N and topological charge M propagating in slanted atmospheric turbulence will lose the dark hollow center and evolve into the Gaussian beam more slowly than the MGSMV beam with smaller index N and topological charge M. It is also found that a MGSMV beam propagating in slanted atmospheric turbulence with larger strucutre parameter C will evolve into Gaussian beam faster, but the influences of zenith angle α on the spreading properties of MGSMV beam in the far field can be ignored.

TOPOLOGY AND LATTICES

1990 ◽  
Vol 05 (02) ◽  
pp. 427-437
Author(s):  
RADEL BEN-AV ◽  
SORIN SOLOMON
Keyword(s):  
Topological Charge ◽  
Spin Model ◽  
Topological Classification ◽  
Gauge Model ◽  
Homotopy Classes ◽  
Continuous Deformation ◽  
Definition Of ◽  
Close Form ◽  
The Continuum

The concept of interpolation relates lattice configurations to continuum configurations. This relation induces from the continuum to the lattice the definitions of “continuous deformation”, topological classification and homotopy classes. The lattice homotopy classes obtained this way are separated by boundaries made out of “exceptional configurations” (EC). The EC boundaries allow the topological classification of the lattice configurations even in models in which it is impossible (or cumbersome) to give in a close form, a definition of the topological charge in terms of lattice variables. We give the description of the EC boundaries for the 2 dimensional XY spin model and the 4 dimensional SU(2) gauge model.

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