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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.
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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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