scholarly journals Propagations of Sin-Gaussian Beam with Astigmatism through Oceanic Turbulence

2021 ◽  
Vol 299 ◽  
pp. 03013
Author(s):  
Kaicheng Zhu ◽  
Chang Gao ◽  
Jiahui Li ◽  
Dengjuan Ren ◽  
Jie Zhu
Keyword(s):  
Gaussian Beam ◽  
Coherence Length ◽  
Structure Constant ◽  
Average Intensity ◽  
Oceanic Water ◽  
Fresnel Integral ◽  
Oceanic Turbulence ◽  
Atmosphere Turbulence ◽  
Beam Parameters ◽  
Analytical Expressions

The propagation behaviours of a sin-Gaussian beam (SiGB) with astigmatism in oceanic water is analysed. The analytical expressions for the average intensity of such a beam are derived by using the extended Huygens-Fresnel integral. Its average intensity and on-axial intensity distributions in oceanic water are numerically examined. Then, we mainly focus on the effect of the beam parameters and the medium structure constant on the propagation behaviours for the astigmatic SiGBs in oceanic water, revealing that the evolutions of the intensity distributions can be effectively modulated by adjusting the astigmatic parameter, coherence length and the atmosphere turbulence strength.

scholarly journals Propagation Properties of an Astigmatic Cos-Gaussian Beam through Turbulent Atmosphere

2021 ◽  
Vol 299 ◽  
pp. 02003
Author(s):  
Kaicheng Zhu ◽  
Xiaolei Ma ◽  
Chang Gao ◽  
Dengjuan Ren ◽  
Jie Zhu
Keyword(s):  
Gaussian Beam ◽  
Atmospheric Turbulence ◽  
Intensity Distribution ◽  
Turbulent Atmosphere ◽  
Structure Constant ◽  
Propagation Distance ◽  
Turbulent Structure ◽  
Fresnel Integral ◽  
Propagation Properties ◽  
Distribution Behaviour

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.

scholarly journals Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

2020 ◽  
Vol 10 (2) ◽  
pp. 450 ◽  
Author(s):  
Xiaolu Ma ◽  
Dajun Liu ◽  
Yaochuan Wang ◽  
Hongming Yin ◽  
Haiyang Zhong ◽  
...  
Keyword(s):  
Free Space ◽  
Coherence Length ◽  
Gaussian Beams ◽  
Average Intensity ◽  
Beam Size ◽  
Kolmogorov Turbulence ◽  
Propagation Properties ◽  
Analytical Expressions ◽  
Effective Beam

In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, σ , decreases, and the beam in stronger non-Kolmogorov turbulence (larger α and l 0 , or smaller L 0 ) will also have a larger beam size.

scholarly journals Research on the propagation of partially coherent cosh-Gaussian beams through an ABCD optical system in non-Kolmogorov turbulence by effective tensor approach

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Hongjie Ma ◽  
Jinsong Li ◽  
Yueyang Chen
Keyword(s):  
Optical System ◽  
Coherence Length ◽  
Spatial Coherence ◽  
Structure Constant ◽  
Beam Propagation ◽  
Gaussian Beams ◽  
Average Intensity ◽  
Partially Coherent ◽  
Kolmogorov Turbulence ◽  
Abcd Optical System

An efficient tensor approach is used to study the propagation of partially coherent cosh-Gaussian beams through an ABCD optical system in non-Kolmogorov turbulence. Analytical expressions for the average intensity of the beam propagation are derived. The properties of the average intensity are investigated with a numerical example. One finds that the propagation of the beam with larger spatial coherence length is less affected by distance when the propagation distance is long enough, and as the Ch-parameter increases, the beam propagation is less effected by turbulent atmosphere. It is also found that the average intensity distribution of the cosh-Gaussian beams with larger spatial correlation length is more affected by the structure constant of turbulence (i.e., turbulence level). By choosing a suitable Ch-parameter and spatial coherence length, the partially coherent cosh-Gaussian beams can be better transmitted in non-Kolmogorov turbulence. Our results will be useful in free-space communication.

scholarly journals Propagation Properties of Vortex Cosine-Hyperbolic-Gaussian Beams Through Oceanic Turbulence

2021 ◽  
Author(s):  
Mohamed Lazrek ◽  
Zoubir Hricha ◽  
Abdelmajid Belafhal
Keyword(s):  
Dissipation Rate ◽  
Sea Water ◽  
Turbulent Medium ◽  
Average Intensity ◽  
Underwater Communication ◽  
Salinity Fluctuation ◽  
Oceanic Turbulence ◽  
Diffraction Integral ◽  
Beam Parameters ◽  
Propagation Properties

Abstract Based on the extended Huygens–Fresnel diffraction integral, the analytical expression of the average intensity for a vortex cosine hyperbolic-Gaussian beam (vChGB) propagating in oceanic turbulence is derived in detail. From the derived formula, the propagation properties of a vChGB in oceanic turbulence, including the average intensity distribution and the beam spreading are discussed with numerical examples. It is shown that oceanic turbulence influences strongly the propagation properties of the beam in the turbulent medium. The vChGB may propagate within shorter distance in weak oceanic turbulence by increasing the dissipation rate of mean-square temperature and the ratio of temperature to salinity fluctuation or by increasing the dissipation rate of turbulent kinetic energy per unit mass of sea water. Meanwhile, the evolution properties of the vChGB in the oceanic turbulence are affected by the initial beam parameters, namely the decentered parameter b, the topological charge M, the beam waist width ω0 and the wavelength λ. The obtained results can be beneficial for applications in optical underwater communication and remote sensing domain, imaging, and so on.

Effects of the turbulent atmosphere and the oceanic turbulence on the propagation of a rotating elliptical Gaussian beam

2018 ◽  
Vol 124 (8) ◽  
Author(s):  
Jianbin Zhang ◽  
Jintao Xie ◽  
Feng Ye ◽  
Kangzhu Zhou ◽  
Xingyu Chen ◽  
...  
Keyword(s):  
Gaussian Beam ◽  
Turbulent Atmosphere ◽  
Oceanic Turbulence

scholarly journals Effects of Turbulence on the Vortex Modes Carried by Quasi-Diffracting Free Finite Energy Beam in Ocean

2020 ◽  
Vol 8 (6) ◽  
pp. 458
Author(s):  
Qiyong Liang ◽  
Yixin Zhang ◽  
Dongyu Yang
Keyword(s):  
Gaussian Beam ◽  
Cone Angle ◽  
Wave Structure ◽  
Beam Width ◽  
Finite Energy ◽  
Energy Beam ◽  
Initial Beam ◽  
Oceanic Turbulence ◽  
Wireless Optical Communication ◽  
Ellipticity Parameter

By developing new wave structure function of a beam waves, we derive the transmitting probability of signal vortex modes in oceanic turbulence based on Rytov approximation theory. Applying this transmitting probability of signal vortex modes, we study the influence of oceanic turbulence on the transmittance of the vortex modes carried by Mathieu-Gaussian beam. This model shows the transmitting probability of Mathieu-Gaussian beam with narrow initial beam width, long wavelength, and small ellipticity parameter is higher than the transmitting probability of the signal vortex modes in case of the beam with wide initial beam width, short wavelength, and great ellipticity parameter. Furthermore, when Mathieu-Gaussian beam has a suitable semi-cone angle, the effect of weak-turbulence channel on the transmitting probability of signal vortex modes with different topological charge can be ignored. Mathieu-Gaussian beam is a more suitable carrier for high information channel of underwater wireless optical communication than Laguerre-Gaussian beam.

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