超声速湍流边界层中激光传输的积分法
Integration Method of Laser Beam Propagation in a Supersonic Turbulence Boundary Layer
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摘要: 采用Born近似的Maxwell方程组积分解形式较少应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.而结合GCV-FFT(Generalized convolution by fast Fourier transform)方法, 在自由空间传播的Rayleigh-Sommerfeld衍射方程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, 积分方法可以用于气动光学现象的数值模拟.通过在超声速湍流边界层中光束传输的数值计算, 可以看到一些气动光学效应, 如光束偏移破碎等, 可以用修正GCV-FFT+数值积分的方法得到良好的模拟.现有的方法可以给出更接近物理本质的定量结果.Abstract: The integration method for the solution of Maxwell equations with Born approximation is less utilized in the aero-optic numerical simulation because of its difficulty in the discrete calculation. Combined with the generalized CV-FFT(GCV-FFT)algorithm, the result has great accuracy in the numerical computation for the Rayleigh-Sommerfeld diffraction in free space. With some modification to the Green function and sampling coefficient, the integration method can be used in the numerical simulation of aero-optics. Propagation through a supersonic boundary layer shows that the effect of aero-optics (beam break, beam shift, etc.)can be well simulated by the integration method, combined with the generalized CV-FFT algorithm. The current method can be used to give a quantitative assessment of the other methods as well as being amenable to the addition of more physics.