scholarly journals Behavior of the Central Intensity of Generalized Humbert-Gaussian Beams Against the Atmospheric Turbulence

Author(s):  
Naima Nossir ◽  
Latifa Dalil-Essakali ◽  
Abdelmajid Belafhal

Abstract Based on the generalized Huygens-Fresnel integral in the paraxial approximation and on the Rytov theory, the analytical expression of the axial intensity distribution for the Generalized Humbert-Gaussian beams (GHGBs) propagating through a turbulent atmosphere is derived in this work. The results for the special cases of GHGBs are deduced from our study and illustrated numerically. The influence of the turbulent strength and the incident beam parameters on the propagation of these beams in the atmospheric turbulence is investigated and discussed in detail.

2021 ◽  
Vol 299 ◽  
pp. 02003
Author(s):  
Kaicheng Zhu ◽  
Xiaolei Ma ◽  
Chang Gao ◽  
Dengjuan Ren ◽  
Jie Zhu

We use the extended Huygens-Fresnel integral to investigate the propagation properties of a cos-Gaussian beam (cosGB) with astigmatism in atmospheric turbulence. The intensity distribution behaviour along the propagation distance for an astigmatic cosGB in atmospheric turbulence are analytically and numerically demonstrated. Some novel phenomena are presented graphically, indicating that the intensity distribution and the on-axial intensity closely depend on the astigmatic parameter and the turbulent structure constant of the cosGBs in the atmospheric turbulence.


2019 ◽  
Vol 9 (14) ◽  
pp. 2790
Author(s):  
Xiaofei Li ◽  
Yuefeng Zhao ◽  
Xianlong Liu ◽  
Yangjian Cai

The interaction of an electromagnetic Gaussian Schell-model beam with a semi-rough target located in atmospheric turbulence was studied by means of a tensor method, and the corresponding inverse problem was analyzed. The equivalent model was set up on the basis of a bistatic laser radar system and a rough target located in a turbulent atmosphere. Through mathematical deduction, we obtained detailed information about the parameters of the semi-rough target by measuring the beam radius, coherence radius of the incident beam and the polarization properties of the returned beam.


2012 ◽  
Vol 29 (3) ◽  
pp. 323-327
Author(s):  
Gennady Kaloshin ◽  
Igor Lukin

Abstract The paper introduces a new laser interferometry–based method for diagnosis of random media by means of high-accuracy angle measurements and describes the results of its development and testing. Theoretical calculations of the dependence of the range of the laser interferometer on laser beam parameters, device geometry, and atmospheric turbulence characteristics are reported. It is demonstrated that at moderate turbulence intensities corresponding to those observed most frequently in turbulent atmosphere at moderate latitudes and with low interference contrast values, the performance range of the laser interferometer–based device exceeds 5 km.


2021 ◽  
Author(s):  
M. Lazrek ◽  
Z. Hricha ◽  
A. Belafhal

Abstract Based on the Huygens–Fresnel integral, the propagation equation for a vortex Hermite-cosh-Gaussian beams (vHChGB) in gradient-index medium (GIM) is derived. From the obtained expression, the evolution of the intensity and the phase distributions of a vHChGB through a GIM are numerically demonstrated as a function of the gradient-index parameter β under the change of incident beam parameters. The results show that the characteristics of the output beam evolve periodically versus the propagation distance, and the period of evolution slows down when β is increased. Furthermore, it is demonstrated that the self-repeating properties of the intensity pattern and the phase distribution for the propagated vHChGB are altered by the incident beam parameters. The results obtained may be beneficial for applications in fiber communications and beam shaping.


2012 ◽  
Vol 263-266 ◽  
pp. 1214-1218 ◽  
Author(s):  
Jin Hong Li ◽  
Mei Ling Duan ◽  
Ji Lin Wei

Based on the extended Huygens-Fresnel principle, the analytical expressions for the intensity of partially coherent sinusoidal-Gaussian beams with Schell-model correlator in atmospheric turbulence along a slant path are derived, and used to study the evolution of intensity distribution of partially coherent sinusoidal-Gaussian beams, including partially coherent sin-Gaussian (SiG), cos-Gaussian (CoG), sinh-Gaussian (ShG), cosh-Gaussian (ChG) beams. It is shown that the different intensity distribution at the source plane of the four beams evolve to the same Gaussian distribution in atmospheric turbulence along a slant path. The spreading of the partially coherent sinusoidal-Gaussian beams along a horizontal path is larger than that along a slant path in the long atmospheric propagation, and the slant path is more beneficial to the beam propagation through atmospheric turbulence in comparison with the horizontal propagation. The validity of our results is interpreted physically. Results in this paper may provide potential applications in free-space optical communications.


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