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分步Padé抛物方程(Split-Step PadéParabolic Equation,SSP-PE)是一种宽角近轴近似方法,可以精确计算传播角较大的电波传播.由于非均匀大气的折射效应的限制,SSP-PE难于利用傅里叶变换算法求解.因此,SSP-PE通常采用有限差分算法.但在计算雷达散射截面和城市小区短距电波传播的过程中,一般可以忽略大气的折射效应.不考虑大气折射,论文推导了SSP-PE的傅里叶变换解法.与有限差分算法相比,傅里叶变换解的计算效率更高.给出了理想导电边界条件下的数值算例,并比较了几何光学法和SSP-PE的计算结果,证明了傅里叶变换解的正确性.
The Split-Step Pad Parabolic Equation (SSP-PE) is a wide-angle paraxial approximation that accurately calculates the propagation of electric waves with a large propagation angle. Due to the refractive effect of the non-uniform atmosphere, SSP-PE It is difficult to use the Fourier transform algorithm to solve.SSP-PE usually adopts the finite difference method, but generally can ignore the refraction effect of the atmosphere in the process of calculating the radar cross section and short-range electric wave propagation in urban area.Without considering the atmospheric refraction, The thesis deduces the Fourier transform of SSP-PE, which is more efficient than the finite difference method.Furthermore, numerical examples are given under the ideal conductive boundary conditions, and the geometrical optics And SSP-PE calculation results prove the correctness of the Fourier transform solution.