光子学报, 2016, 45 (11): 1106002, 网络出版: 2016-12-06  

非Kolmogorov大气湍流对径向部分相干阵列光束瑞利区间和湍流距离的影响

Influence of Non-Kolmogorov Turbulence on the Rayleigh Range and Turbulence Distance of the Radial Partially Coherent Array Beams
柯熙政 1,2,*张雅 1陈炜 2
作者单位
1 西安理工大学 自动化与信息工程学院, 西安 710048
2 江苏海虹电子有限公司, 江苏 扬州 225108
摘要
基于广义的Huygens-Fresnel原理和非Kolmogorov谱模型, 推导了无线光通信系统中径向分布部分相干高斯-谢尔模型阵列光束在非Kolmogorov大气湍流中传输时瑞利区间zR和湍流距离zT的解析表达式, 对瑞利区间和湍流距离随湍流参量和光束参量的变化情况进行了数值分析.结果表明: 不论是相干还是非相干合成, 径向分布部分相干高斯-谢尔模型阵列光束的zR和zT均随湍流广义指数α的增大非单调变化, 当α=3.11时, zR和zT取最小值, 此时阵列光束扩展最大; 相干合成比非相干合成的光束扩展要小, 但其受湍流的影响更大; 对于相干合成而言, 径向分布半径r0越大, 合成光束的zR和zT就越大, 而非相干合成的zR和zT不受r0的影响; 不论是相干还是非相干合成, 阵列子光束数目对合成光束的zR和zT没有影响; 当光束相干参量β足够小或波长λ足够大时, 大气湍流对阵列光束zR的影响可以忽略.
Abstract
Based on the generalized Huygens-Fresnel principle and the non-Kolmogorov spectral model, the expressions for the Rayleigh range zR and the turbulence distance zT of radial partially coherent Gaussian-Schell model array beams of the free space optics system propagating through non- Kolmogorov turbulence were derived. And the expressions were used to analyze numerically the changes of the Rayleigh range and the turbulence distance with turbulence parameters and beams parameters. The results show that for both coherent and incoherent combinations, the dependence of zR and zT of the radial partially coherent Gaussian-Schell model array beams on generalized parameter α is not monotonic. When α=3.11, zR and zT reach their minima, and this means that the beams spreading is largest. For the coherent combination of beams spreading is smaller than that for the coherent combination, but it is larger affected by turbulence; For coherent combinations, the larger the radial distribution radius r0, the larger the Rayleigh range zR and turbulence distance zT of the combined beam, but incoherent combinations is not affected; for both coherent and incoherent combinations, the number of sub-beams has no influence on the Rayleigh range and the turbulent distance of the combined beam; When beams coherent parameter β is small enough and wavelength λ is large enough, the influence of turbulence on zR can be ignored.

柯熙政, 张雅, 陈炜. 非Kolmogorov大气湍流对径向部分相干阵列光束瑞利区间和湍流距离的影响[J]. 光子学报, 2016, 45(11): 1106002. KE Xi-zheng, ZHANG Ya, CHEN Wei. Influence of Non-Kolmogorov Turbulence on the Rayleigh Range and Turbulence Distance of the Radial Partially Coherent Array Beams[J]. ACTA PHOTONICA SINICA, 2016, 45(11): 1106002.

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