激光与光电子学进展, 2015, 52 (11): 110104, 网络出版: 2015-10-15  

截断高斯-谢尔光束在非Kolmogorov湍流中的相对扩展

Relative Spreading of Truncated Gaussian-Shell-Model Beam in Non-Kolmogorov Turbulence
作者单位
1 川北医学院影像学院, 四川 南充 637000
2 川北医学院基础医学院物理教研室, 四川 南充 637000
摘要
为了研究截断高斯-谢尔光束在非Kolmogorov 湍流中的相对扩展。采用广义惠更斯-菲涅耳原理和积分变换技术求解出了光束在非Kolmogorov 湍流中的二阶矩束宽和相对束宽的表达式,并定量地研究了束宽和相对束宽随束腰w0 、相干参数α 、截断参数δ 及湍流广义指数γ 的变化规律。研究发现α 和δ 越小,湍流对光束扩展的影响则越小,湍流对光束扩展的影响随w0 和γ 的增大而先增大后减小,并对主要结果给出了相应的物理解释。
Abstract
To study the relative spreading of truncated Gaussian Shell-model (GSM) beam propagating through non-Kolmogorov turbulence, the extended Huygens-Fresnel principle and integral transform technique are used to derive the expressions for the mean-squared width and relative width of truncated GSM beam propagating through non-Kolmogorov turbulence. The variation of the mean-squared width and relative width versus waist width w0, coherence parameter α , truncation parameter δ and generalized exponent parameter γ are analyzed numerically. The results show the beam spreading is less affected by turbulence with the smaller α and δ , and the influence of non-Kolmogorov turbulence on beam spreading increases first and then decreases due to increasing waist width w0 and γ . The results obtained above are explained physically.
参考文献

[1] Toselli I, Andrews L C, Phillips R L, et al.. Free space optical system performance for laser beam propagation through non Kolmogorov turbulence for uplink and downlink paths[C]. SPIE, 2007, 6708: 670803.

[2] Wu Guohua, Guo Hong, Yu Song, et al.. Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence[J]. Opt Lett, 2010, 35(5): 715-717.

[3] Xu Huafeng, Cui Zhifeng, Qu Jun. Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence[J]. Opt Express, 2011, 19(22): 21163-21173.

[4] He Xuemei, Lv Baida. Propagation properties of partially coherent Hermite-Gaussian beams through non-Kolmogorov turbulence[J]. Chin Phys B, 2011, 20(9): 094210.

[5] 彭艳艳, 李晋红, 魏计林, 等. 非Kolmogorov 大气湍流对高斯谢尔模型光束光谱变化的影响[J]. 激光与光电子学进展, 2014, 51(1): 010102.

    Peng Yanyan, Li Jinhong, Wei Jilin, et al.. Influence of Non-Kolmogorov atmospheric turbulence on the spectral changes of Gaussian-Schell model beams[J]. Laser & Optoelectronics Progress, 2014, 51(1): 010102.

[6] 汤明玥, 李晓庆, 陈晓文, 等. 非Kolmogorov 湍流对部分相干环状光束的瑞利区间的影响[J]. 激光与光电子学进展, 2015, 52(2): 020101.

    Tang Mingyue, Li Xiaoqing, Chen Xiaowen, et al.. Influence of non-Kolmogorov turbulence on the Rayleigh range of partially coherent annular beams[J]. Laser & Optoelectronics Progress, 2015, 52(2): 020101.

[7] 孙海跃, 吴武明, 靳爱军, 等. 非科尔莫哥罗夫湍流下超连续谱光源的传输特性[J]. 中国激光, 2014, 41(4): 0413001.

    Sun Haiyue, Wu Wuming, Jin Aijun, et al.. Propagation performance of supercontinuum source in non-Kolmogorov turbulence[J]. Chinese J Lasers, 2014, 41(4): 0413001.

[8] 陶汝茂,司磊,马阎星, 等. 截断部分相干双曲余弦高斯光束在非Kolmogorov湍流中的传输[J]. 中国激光, 2013, 40(5): 0502008.

    Tao Rumao,Si Lei,Ma Yanxing, et al.. Propagation of truncated partially coherent cosh-Gaussian beam in non-Kolmogorov turbulence[J]. Chinese J Lasers, 2013, 40(5): 0502008.

[9] Gbur G, Wolf E. Spreading of partially coherent beams in random media[J]. J Opt Soc Am A, 2002, 19(8): 1592-1598.

[10] 陈晓文, 季小玲. 湍流对环状光束扩展的影响[J]. 物理学报, 2009, 58(4): 2435-2443.

    Chen Xiaowen, Ji Xiaoling. Influence of turbulence on the spreading of annular beams[J]. Acta Physica Sinica, 2009, 58(4): 2435-2443.

[11] Ji Xiaoling, Zhang Entao, Lv Baida. Spreading of partially coherent flattened Gaussian beams propagating through turbulent media[J]. J Mod Opt, 2006, 53(12): 1753-1763.

[12] Li J, Yang A, Lv Baida. Comparative study of the beam-width spreading of partially coherent Hermite-sinh-Gaussian beams atmospheric turbulence[J]. J Opt Soc Am A, 2008, 25(11): 2670-2679.

[13] 刘飞, 季小玲. 部分相干双曲余弦高斯列阵光束的湍流距离[J]. 中国激光, 2011, 38(7): 0713001.

    Liu Fei, Ji Xiaoling. Turbulence distance of partially coherent cos-Gaussian array beams[J]. Chinese J Lasers, 2011, 38(7): 0713001.

[14] 吴武明, 宁禹, 任亚杰, 等. 阵列光束在湍流大气中传输的光强闪烁研究进展[J]. 激光与光电子学进展, 2012, 49(7): 070008.

    Wu Wuming, Ni Yu, Ren Yajie, et al.. Research progress of scintillations for laser array beams in atmospheric turbulence [J]. Laser & Optoelectronics Progress, 2012, 49(7): 070008.

[15] 韩开, 张晓欣, 付福兴, 等. 湍流强度对大气传输光束的相位特性及其相位校正物理极限的影响[J]. 激光与光电子学进展, 2014, 50(1): 010101.

    Han Kai, Zhang Xiaoxin, Fu Fuxing, et al.. Effect of turbulence strength on phase characteristics and physical limit of phase correction of laser beams in turbulence[J]. Laser & Optoelectronics Progress, 2014, 50(1): 010101.

[16] 陆璐, 季小玲, 邓金平, 等. 非Kolmogorov 大气湍流对高斯列阵光束扩展的影响[J].物理学报, 2014, 63(1): 014207.

    Lu Lu, Ji XiaoLing, Deng JinPing, et al.. Influence of non-Kolmogorov turbulence on the spreading of Gaussian array beams[J]. Acta Physica Sinica, 2014, 63(1): 014207.

[17] 汤明玥, 李宾中, 王宇峰, 等. 非Kolmogorov 湍流对高斯谢尔光束的瑞利区间和湍流距离的影响[J]. 中国激光, 2014, 41(10): 1013002.

    Tang Mingyue, Li Binzhong, Wang Yufeng, et al.. Influence of non-Kolmogorov turbulence on the rayleigh range and turbulence distance of Gaussian-Shell model beams[J]. Chinese J Lasers, 2014, 41(10): 1013002.

[18] Chu Xiuxiang, Ni Yongzhou, Zhou Guoquan. Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulenct atmosphere[J]. Opt Commun, 2007, 274(1): 274-280.

[19] 黄永平,段志春,贺也洹, 等. 部分相干平顶光束在非Kolmogorov 大气湍流中湍流距离的变化[J]. 中国激光, 2014, 41(9): 0913002.

    Huang Yongping, Duan Zhichun, He Yehuan, et al.. Change of turbulence distance for partially coherent flat-topped beams propagating through non-Kolmogorov turbulence[J]. Chinese J Lasers, 2014, 41(9): 0913002.

[20] Ji Xiaoling, Pu Zhengcai. Effects of atmospheric turbulence on the polarization of apertured electromagnetic Gaussian Schell-model beams[J]. J Opt A: Pure and App Opt, 2009, 11(4): 045701.

[21] 陈晓文, 李宾中, 汤明玥. 受光阑限制的部分相干光通过湍流大气传输的方向性[J]. 中国激光, 2012, 39(9): 0913002.

    Chen Xiaowen, Li Binzhong, Tang Mingyue. Directionality of apertured partially coherent beams propagating through atmospheric turbulence[J]. Chinese J Lasers, 2012, 39(9): 0913002.

陈晓文, 李宾中, 汤明玥. 截断高斯-谢尔光束在非Kolmogorov湍流中的相对扩展[J]. 激光与光电子学进展, 2015, 52(11): 110104. Chen Xiaowen, Li Binzhong, Tang Mingyue. Relative Spreading of Truncated Gaussian-Shell-Model Beam in Non-Kolmogorov Turbulence[J]. Laser & Optoelectronics Progress, 2015, 52(11): 110104.

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