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.

Paraxial Propagation Properties of Radially Polarized Odd‐Pearcey Gaussian Beams in Free Space

2021 ◽  
pp. 2100055
Author(s):  
Mingyue Fang ◽  
Xiang Liao ◽  
Jiajia Zhao ◽  
Chuangjie Xu ◽  
Yixiao Zhang ◽  
...  
Keyword(s):  
Free Space ◽  
Gaussian Beams ◽  
Propagation Properties ◽  
Radially Polarized

Propagation Properties of HermiteGaussian Beams in NonKolmogorov Turbulence

2012 ◽  
Vol 41 (7) ◽  
pp. 818-823 ◽  
Author(s):  
黄永平 HUANG Yongping ◽  
曾安平 ZENG Anping
Keyword(s):  
Gaussian Beams ◽  
Kolmogorov Turbulence ◽  
Propagation Properties

scholarly journals Nonparaxial Propagation Properties of Specially Correlated Radially Polarized Beams in Free Space

2019 ◽  
Vol 9 (5) ◽  
pp. 997
Author(s):  
Lina Guo ◽  
Li Chen ◽  
Rong Lin ◽  
Minghui Zhang ◽  
Yiming Dong ◽  
...  
Keyword(s):  
Free Space ◽  
Degree Of Polarization ◽  
Average Intensity ◽  
Polarized Beams ◽  
Diffraction Integral ◽  
Spectral Density Matrix ◽  
Potential Applications ◽  
Spectral Degree ◽  
Propagation Properties ◽  
Radially Polarized

A specially correlated radially polarized (SCRP) beam with unusual physical properties on propagation in the paraxial regime was introduced and generated recently. In this paper, we extend the paraxial propagation of an SCRP beam to the nonparaxial regime. The closed-form 3 × 3 cross-spectral density matrix of a nonparaxial SCRP beam propagating in free space is derived with the aid of the generalized Rayleigh–Sommerfeld diffraction integral. The statistical properties, such as average intensity, degree of polarization, and spectral degree of coherence, are studied comparatively for the nonparaxial SCRP beam and the partially coherent radially polarized (PCRP) beam with a conventional Gaussian–Schell-model correlation function. It is found that the nonparaxial properties of an SCRP beam are strikingly different from those of a PCRP beam. These nonparaxial properties are closely related to the correlation functions and the beam waist width. Our results may find potential applications in beam shaping and optical trapping in nonparaxial systems.

scholarly journals Effect of the turbulent biological tissues on the propagation properties of coherent Laguerre-Gaussian beams

2021 ◽  
Author(s):  
Ahmed Abdulrab Ali Ebrahim ◽  
Abdelmajid Belafhal
Keyword(s):  
Refractive Index ◽  
Biological Tissue ◽  
Propagation Distance ◽  
Biological Tissues ◽  
Gaussian Beams ◽  
Beam Spot ◽  
Spot Radius ◽  
Structural Constant ◽  
Propagation Properties ◽  
Effective Beam

Abstract In this paper, the effects of turbulent biological tissues (TBT) on the propagation properties of the coherent Laguerre-Gaussian (CLG) beams are studied. Based on the turbulence theory and using the power spectrum refractive-index model, the expression formulae of the average irradiance intensity and spreading properties of a CLG beam propagating in TBT are derived. The influence of propagation distance, beam orders, wavelengths and tissue turbulence parameters are then investigated numerically. It found that, the central dark zone of the circular/elliptical LG beams rises more rapidly as the propagation distance and the structural constant of the refractive index of the biological tissue increase and the beams become eventually more like Gaussian beams in the far-field under the influence of the turbulence biological tissues. Also, the numerical results proved that the effective beam spot radius increases as turbulence, wavelength, and propagation distance are increasing. Ultimately, the beams become circular under the influence of the turbulence of the biological tissue. As found that the effective beam spot radius along the x-axis becomes equal to that of the y-axis in high TBT which explain why an elliptical LG beam is converted into a circular one in higher structural constant of the turbulent tissue. Moreover, our results show that, the influence of the beam order m slightly greater than that of l on the beam spreading.

scholarly journals Propagation properties of partially coherent Hermite-cosh-Gaussian beams in non-Kolmogorov turbulence

2015 ◽  
Vol 64 (3) ◽  
pp. 034208
Author(s):  
Liu Li-Hui ◽  
L Wei-Yu ◽  
Yang Chao ◽  
Mai Can-Ji ◽  
Chen De-Peng
Keyword(s):  
Gaussian Beams ◽  
Partially Coherent ◽  
Kolmogorov Turbulence ◽  
Propagation Properties

scholarly journals Propagation properties of autofocusing off-axis hollow vortex Gaussian beams in free space

2019 ◽  
Vol 27 (5) ◽  
pp. 6357 ◽  
Author(s):  
Gengxin Chen ◽  
Xiangxin Huang ◽  
Chuangjie Xu ◽  
Linjin Huang ◽  
Jintao Xie ◽  
...  
Keyword(s):  
Free Space ◽  
Gaussian Beams ◽  
Hollow Vortex ◽  
Propagation Properties

Propagation Properties of HermiteGaussian Beams in NonKolmogorov Turbulence

2012 ◽  
Vol 41 (7) ◽  
pp. 818-823
Author(s):  
黄永平 HUANG Yongping ◽  
曾安平 ZENG Anping
Keyword(s):  
Gaussian Beams ◽  
Kolmogorov Turbulence ◽  
Propagation Properties

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.

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