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湍流流场中激光传输的积分法研究

许凌飞 周志超 任天荣

许凌飞, 周志超, 任天荣. 湍流流场中激光传输的积分法研究[J]. 应用数学和力学, 2016, 37(10): 1060-1072. doi: 10.21656/1000-0887.370065
引用本文: 许凌飞, 周志超, 任天荣. 湍流流场中激光传输的积分法研究[J]. 应用数学和力学, 2016, 37(10): 1060-1072. doi: 10.21656/1000-0887.370065
XU Ling-fei, ZHOU Zhi-chao, REN Tian-rong. Research on the Integration Method for Laser Beam Progagation in Turbulent Flows[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1060-1072. doi: 10.21656/1000-0887.370065
Citation: XU Ling-fei, ZHOU Zhi-chao, REN Tian-rong. Research on the Integration Method for Laser Beam Progagation in Turbulent Flows[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1060-1072. doi: 10.21656/1000-0887.370065

湍流流场中激光传输的积分法研究

doi: 10.21656/1000-0887.370065
基金项目: 上海市科技委“扬帆计划”基金(15YF1405600);上海市自然科学基金(16ZR1415900)
详细信息
    作者简介:

    许凌飞(1984—),男,高级工程师,博士(E-mail: jsj900@hotmail.com);周志超(1964—),男,高级工程师,博士(E-mail: send2zhou@sina.com);任天荣(1964—),男,高级工程师,博士(通讯作者. E-mail: 09110290007@fudan.edu.cn).

  • 中图分类号: O43;O357

Research on the Integration Method for Laser Beam Progagation in Turbulent Flows

  • 摘要: 采用Born近似的Maxwell(麦克斯韦)方程组的积分解形式较少用于气动光学数值计算,其困难在于对该方程组的离散化数值计算.结合广义卷积-快速Fourier变换(GCV-FFT)方法,对在自由空间传播的Rayleigh-Sommerfeld衍射方程进行数值计算,可以达到比较高的精度.通过对Green函数及采样系数的修正,可以得到对气动光学现象进行数值仿真的积分解算方法;而用修正GCV-FFT结合数值积分的方法,对超声速湍流边界层中传输的激光光束进行数值计算,可以很好地对一些气动光学现象,如光束偏移、破碎等,进行数值模拟.由于这种积分方法不依赖傍轴近似条件,故给出的计算结果能够更接近问题的物理本质.
  • [1] Olson M. History of laser weapon research[R]. AIAA, 2012: A657755.
    [2] Sutton G W. Aero-optical foundations and applications[J]. AIAA Journal,1985,23(10): 1525-1537.
    [3] Jumper E J, Fitzgerald E J. Recent advances in aero-optics[J]. Progress in Aerospace Sciences,2001,37(3): 299-339.
    [4] White M D. High-order parabolic beam approximation for aero-optics[J]. Journal of Computational Physics,2010,229 (15): 5465-5485.
    [5] Dubra A, Ferrari J A. Diffracted field by an arbitrary aperture[J]. American Journal of Physics,1999,67 (1): 87-92.
    [6] Harvey J E, Krywonos A. Axial irradiance distribution throughout the whole space behind an annular aperture[J]. Applied Optics,2002,41(19) : 3790-3795.
    [7] Ferrari J A, Dubra A. Axial irradiance distribution throughout the whole space behind an annular aperture: comments[J]. Applied Optics,2003,42(19): 3754-3755.
    [8] Marinho F J, Bernardo L M. Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm[J]. Journal of the Optical Society of America A,1998,15(8): 2111-2116.
    [9] Hennelly B M, Sheridan J T. Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms[J]. Journal of the Optical Society of America A,2005,22(5): 917-927.
    [10] Jackson J D. Classical Electrodynamics [M]. 2nd ed. McGraw-Hill Book Company, 1990.
    [11] Craig K H. Propagation modeling in the troposphere: parabolic equation model[J]. Electronics Letters,1988,24(18): 1136-1139.
    [12] Andrews L C. Field Guide to Atomospheric Optics [M]. Bellingham: SPIE Press, 2004.
    [13] Born M, Wolf E. Principles of Optics [M]. UK: Cambridge Press, 1999.
    [14] Shannon C E. Communication in the presence of noise[J]. Proceedings of the IRE,1949,37(1): 10-21.
    [15] Chacko N, Liebling M, Blu T. Discretization of continuous convolution opertators for accurate modeling of wave propagation in digital holography[J]. Journal of the Optical Society of America A,2013,30(10): 2012-2020.
    [16] 许凌飞. 强非均匀介质场激光大气传输特性建模及分析[R]. 上海航天技术研究院博士后研究报告, 上海, 2014.(XU Ling-fei. Modelling and anaylsis of the laser beam progagation in an inhomogeneous medium field[R]. Postdoctorual Report of Shanghai Academy of Spacelight Technology, Shanghai, 2014.(in Chinese))
    [17] Unser M. Sampling-50 years after Shannon[J]. Proceedings of the IEEE,2000,88(4): 569-587.
    [18] Unser M. Splines: a perfect fit for signal and image processing[J]. IEEE Signal Processing Magazine, 1999,16(6): 22-38.
    [19] Cuche E, Marquet P, Depeursinge C. Aperture apodization using cubic spline interpolation: application in digital holographic microscopy[J]. Optics Communications,2000,182(1/3): 59-69.
    [20] 刘鑫, 陆林生. 重叠区域找重策略和插值方法的研究[J]. 计算机应用研究, 2006,23(7): 26-28.(LIU Xin, LU Lin-sheng. Research on intersection strategies and interpolation methods of overset zone[J]. Application Research of Computers,2006,23(7): 26-28.(in Chinese))
    [21] LI Xin-liang, FU De-xun, MA Yan-wen, LIANG Xian. Direct numerical simulation of shock/turbulent boundary layer interaction in a supersonic compression ramp[J]. Science China: Physics, Mechanics & Astronomy,2010,53(9): 1651-1658.
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出版历程
  • 收稿日期:  2016-03-07
  • 修回日期:  2016-09-08
  • 刊出日期:  2016-10-15

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