[1] 吴武明, 吴慧云, 吴毅, 等. 大气湍流光学参数分析[J]. 强激光与粒子束, 2012, 24(9): 39-42.(Wu Wuming, Wu Huiyun, Wu Yi, et al. Analysis of atmosphere turbulence optical parameters. High Power Laser and Particle Beams, 2012, 24(9): 39-42)

[2] Kolmogorov A N. A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at large Reynolds numbers[J]. Fluid Mech, 1962, 13: 82-85.

[3] 饶瑞中. 光在湍流大气中的传播[M]. 合肥: 安徽科学技术出版, 2005: 60-61.( Rao Ruizhong. Light propagation in the turbulence atmosphere. Hefei: Anhui Science and Technology Press, 2005: 60-61)

[4] Mandelbrot B B. How long is the coast of Britain Statistical self-similarity and fractional dimension[J]. Science, 1967, 156(3775): 636-638.

[5] Mandelbrot B B. On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars[J]. Fluid Mech, 1975, 72(2): 401-416.

[6] 黄晚晴, 张颖, 王文义, 等. 利用分形法表征光学元件中高频相位畸变[J]. 强激光与粒子束, 2013, 25(5): 1171-1175.(Huang Wanqing, Zhang Ying, Wang Wenyi, et al. Evaluating middle-high frequency phase distortion of optics by fractal method. High Power Laser and Particle Beams, 2013, 25(5): 1171-1175)

[7] 屈世显, 董连科. 分形维数与熵间的关系[J]. 高压物理学报, 1993, 7(2): 127-131.(Qu Shixian, Dong Lianke. The relation between fractal dimensionality and entropy. Chinese Journal of High Pressure Physics, 1993, 7(2): 127-131)

[8] 王国梁, 周生路, 赵其国. 土壤颗粒的体积分形维数及其在土地利用中的应用[J]. 土壤学报, 2005, 42(4): 545-550.(Wang Guoliang, Zhou Shenglu, Zhao Qiguo.Volume fractal dimension of soil particle and its applications to land use. Acta Pedologica Sicnica, 2005, 42(4): 545-550)

[9] 陈勇, 林岩, 雷洪. 基于R/S分析的深圳股票市场分形特征分析[J]. 辽宁大学学报, 2007, 34(4): 294-297.(Chen Yong, Lin Yan, Lei Hong. R/S analysis on fractal mechanism of Shenzhen stock market. Journal of Liaoning University, 2007, 34(4): 294-297)

[10] 邵丽芳, 罗哲贤, 马革兰, 等. 热带气旋复杂程度的分形维数表征[J]. 大气科学学报, 2013, 36(3): 331-336.(Shao Lifang, Luo Zhexian, Ma Gelan, et al. Fractal dimension characterization of tropical cyclone complex degree. Transactions of Atmospheric Sciences, 2013, 36(3): 331-336)

[11] 黄真理. 湍流的分形特征[J]. 力学进展, 2000, 30(4): 581-596.(Huang Zhenli. Fractal nature in turbulence. Advances in Mechanics, 2000, 30(4): 581-596)

[12] 武生智, 魏春玲, 马崇武, 等. 沙粒粗糙度和粒径分布的分形特性[J]. 兰州大学学报, 1999, 35(1): 53-56.(Wu Shengzhi, Wei Chunling, Ma Chongwu, et al. Fractal analysis of the roughness and grading of sands. Journal of Lanzhou University, 1999, 35(1): 53-56)

[13] 谢卫红, 谢和平, 李世平, 等. 分形节理的强度和变形研究[J]. 长春地质学院学报, 1997, 27(3): 284-288.(Xie Weihong, Xie Heping, Li Shiping, et al. Study on strength and deformation of the fractal joints. Journal of Changchun University of Earth Sciences, 1997, 27(3): 284-288)

[14] Li Xin, Hu Fei, Liu Gang, et al. Multi-scale fractal characteristics of atmospheric boundary-layer turbulence[J]. Advanced in Atmosphere Sciences, 2001, 18(5): 787-792.

[15] Scotti A, Meneveau C. Fractal dimension of velocity signals in high-Reynolds-number hydrodynamic turbulence[J]. Physics Review, 1994, 51(6): 5594-5608.

[16] 陈倩. 分数维空间中的湍流功率谱分析[J]. 华南师范大学学报: 自然科学版, 2009(3): 47-54.(Chen Qian. Turbulence analysis of power density spectrum in fractal dimension. Journal of South China Normal University: Nature Science Edition, 2009(3): 47-54)

[17] 朱文越, 饶瑞中, 梅海平. 激光大气闪烁的分形分析[J]. 强激光与粒子束, 2004, 16(7): 821-824.( Zhu Wenyue, Rao Ruizhong, Mei Haiping. Fractal characteristics of laser scintillation in the atmosphere. High Power Laser and Particle Beams, 2004, 16(7): 821-824)

[18] 饶瑞中. 大气光传播研究中的湍流谱与间歇性[J]. 电子科技大学学报, 1999, 28(4): 437-442.(Rao Ruizhong. Light propagation in atmosphere: Turbulence spectrum and intermittency. Journal of UEST of China, 1999, 28(4): 437-442)

[19] 饶瑞中, 王世鹏, 刘晓春, 等. 激光大气闪烁的间歇特征[J]. 强激光与粒子束, 1999, 11(2): 185-188.( Rao Ruizhong, Wang Shipeng, Liu Xiaochun, et al. Intermittency characteristics of laser irradiance scintillation in atmosphere. High Power Laser and Particle Beams, 1999, 11(2): 185-188)

[20] 马军海. 复杂非线性系统的重构技术[M]. 天津: 天津大学出版社, 2005: 75-76. (Ma Junhai. Reconstruction technique of complex nonlinear systems. Tianjin: Tianjin University Press, 2005: 75-76)

[21] 梅海平, 苑克娥, 饶瑞中. 光纤传感技术用于大气光学湍流测量[J]. 大气与环境光学学报, 2007, 1(1): 1-5.(Mei Haiping, Yuan Ke’e, Rao Ruizhong. Fiber optical sensing technology and its application in measuring atmospheric optical turbulence parameters. Journal of Atmospheric and Environmental Optics, 2007, 1(1): 1-5)

[22] 肖树妹, 梅海平, 钱仙妹, 等. 大气湍流随机相位差的相关解调算法研究[J]. 光学学报, 2011, 31(2): 1-5.(Xiao Shumei, Mei Haiping, Qian Xianmei, et al. Atmospheric turbulence random phase difference with the demodulation algorithm of correlation. Acta Optica Sinica, 2011, 31(2): 1-5)

[23] 王金龙.混沌和分形的普适常数的物理意义[J]. 自然杂志, 1998, 20(6): 326-329.(Wang Jinlong. Physical meaning about the universal constants in chaos and fractal. Chinese Journal of Nature, 1998, 20(6): 326-329)

[24] 贺涛, 周正欧. 基于分形自仿射的混沌时间序列预测[J]. 物理学报, 2007, 56(2): 693-700.(He Tao, Zhou Zheng’ou. Prediction of chaotic time series based on fractal self-affinity. Acta Physica Sinica, 2007, 56(2): 693-700)

[25] Sreenivasan K R, Meneveau C. The fractal facets of turbulence[J]. Fluid Mech, 1986, 173: 357-386.

[26] Benzi R, Paladin G, Parisi G, et al. On the multifractal nature of fully developed turbulence and chaotic systems[J]. J Phys A: Math Gen, 1984, 17: 3521-3531.

[27] 刘式达. 湍流的间歇性和多分维[J]. 大自然探索, 1989(2): 43-46.(Liu Shida.The intermittency of turbulence and multi-fractal. Exploration of Nature, 1989(2): 43-46)

[28] Prasad R R, Sreenivasan K R. The measurement and interpretation of fractal dimensions of the scalar interface in turbulent flows[J]. Phys Fluids, 1990, 2(5): 792-808.

[29] Frisch U, Sulem P L, Nelkin M. A simple dynamical model of intermittent fully developed turbulence[J]. Fluid Mech, 1978, 87(4): 719-736.

[30] 胡非. 湍流、间歇性与大气边界层[M]. 北京: 科学出版社, 1995: 88-93.(Hu Fei. Turbulence, intermittency and atmospheric boundary layer. Beijing: Science Press, 1995: 88-93)

[31] 陈京元, 陈式刚, 王光瑞. 大气湍流间歇性及其对光传播的影响[J]. 物理学进展, 2005, 25(4): 386-406.(Chen Jingyuan, Chen Shigang, Wang Guangrui. The intermittency of turbulence and its optical effects to light propagation in turbulent atmosphere. Progress in Physics, 2005, 25(4): 386-406)