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Analysis of the transmission characteristics of Hank-Bessel beam in anisotropic ocean turbulence
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摘要
基于Rytov近似理论，分析了各向异性海洋湍流中汉克-贝塞尔(HB)光束的交叉谱密度，研究了轨道角动量(OAM)模式探测概率、串扰概率及HB光束的螺旋相位谱，建立了各向异性海洋湍流中OAM模式探测概率模型。结果表明，HB光束在各向异性海洋湍流环境中发射OAM模式的探测概率高于在各向同性海洋湍流环境中的探测概率。并且随着各向异性因子的增大，海洋湍流对发射OAM模式探测概率的影响减小，串扰模式的探测概率也随之下降。
Abstract
Based on the Rytov approximation theory, we analyze the cross-spectral density of Hankel-Bessel (HB) beams in anisotropic ocean turbulence. In this paper, we study the orbital angular momentum (OAM) mode detection probability, the crosstalk probability and the spiral phase spectrum of the HB beam, and establish the OAM mode detection probability model in anisotropic ocean turbulence. The results show that the detection probability of the emission mode is decreased and the spiral phase spectrum is expanded due to the ocean turbulence. Furthermore, with the increase of anisotropy factor, the influence of ocean turbulence on the detection probability of HB beam becomes smaller. Meanwhile, with the increase of the temperature variance dissipation rate and the equilibrium parameter, and the decrease of the dynamic energy dissipation rate, the influence of ocean turbulence on the orbital angular momentum transmission is increased.
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Overview
Overview: The orbital angular momentum (OAM) is carried to Hank-Bessel (HB) vortex beam, and the HB vortex beam has non-diffracting nature and self-focusing properties, for instance, it does not change without diffracting propagation. Lateral intensity distribution can be reconstructed when the HB beam encounter obstacles. With the development of underwater wireless optical communication (UOWC) technology, the OAM-carrying beam is used to study high-capacity and ultra-high-speed underwater wireless optical communication. Different OAM modes are orthogonal to each other, and the channel capacity of the underwater wireless optical communication link can be improved by using the orbital angular momentum spatial multiplexing technique. Consequently, HB vortex beams can be used as the carriers to increase the channel capacity of information transmission. However, due to the rotation of the earth, the OAM mode crosstalk of the vortex beam is caused by the anisotropic ocean turbulence when the beam is transmitted in ocean. The effects include beam point jitter, intensity and phase fluctuation and damage beam pattern. Thereby, the detection probability of transmitting OAM is reduced, and the error rate of the underwater wireless optical communication link is increased. Therefore, in this paper, the spiral phase spectrum of the HB vortex beam in an anisotropic ocean turbulent channel is studied. Firstly, based on the Rytov approximation theory, the cross-spectral density of HB beams in anisotropic ocean turbulence is analyzed, and the influence of anisotropic ocean turbulence on HB beam propagation is studied. An OAM crosstalk model of HB beam in anisotropic ocean turbulence is established by analyzing the spiral phase spectrum of HB beams in anisotropy ocean turbulence. The relationship between mode crosstalk and equilibrium parameters, temperature variance dissipation rate, dynamic energy dissipation rate is discussed, and compared with the transmission characteristics of HB beams in isotropic ocean turbulence. The results show that the detection probability of the emission mode is decreased and the spiral phase spectrum is expanded due to the ocean turbulence. Furthermore, with the increases of anisotropy factor, the influence of ocean turbulence on the detection probability of HB beam becomes smaller. Meanwhile, with the increase of the temperature variance dissipation rate and the equilibrium parameter, and the decrease of the dynamic energy dissipation rate, the influence of ocean turbulence on the orbital angular momentum transmission is increased. In the same way, with the increase of the temperature variance dissipation rate and the equilibrium parameter, and the decrease of the dynamic energy dissipation rate, the spatial coherence length in oceanic turbulence decreases is increased. Moreover, OAM mode detection probability, the crosstalk probability and the spiral phase spectrum of the HB beam are more negatively affected by ocean turbulence dominated by saliniy fluctuations.
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图 1 OAM模式为1的HB光束在不同的各向异性海洋湍流中，OAM模式的探测概率随传输距离z的变化曲线
Figure 1. The variation of the detecting probability of OAM modes with the transmission distance of HB beam in different anisotropic ocean turbulence
图 2 OAM发射模式l0=5，传输距离为z=50 m，HB光束的螺旋相位谱
Figure 2. OAM spectra of HB vortex beam for l0=5 with propagation distance z=50 m
图 3 各向异性因子ξ分别为1、3、6，不同的ω时，发射OAM模式的探测概率随z的变化曲线
Figure 3. Detection probability of launch OAM mode against z for different ξ and ω
图 4 各向异性因子ξ分别为1、3、6，不同的ε时，发射OAM模式的探测概率随z的变化曲线
Figure 4. Detection probability of launch OAM mode against z for different ξ and ε
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参考文献
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