宽角抛物方程中不规则地形的宽角移位变换处理

Wide-Angle Shift Mapping of Irregular Terrain in Wide-Angle Parabolic Equation

为求解电磁波在不规则地形上的对流层传播问题,阐述了在二维宽角抛物方程模型(WAPEM)中处理不规则地形的宽角移位变换方法,给出了利用该方法计算不规则地形上任意距离和任意高度处的电波传播的算法和步骤.利用该方法,仿真计算了三角形分段线性地形上的电磁波传播问题,并与参考解进行了比较.计算结果验证了本方法的有效性和准确性,表明该方法可应用于WAPEM计算不规则地形上的电波传播问题.

To solve the problem of EM wave propagation via troposphere over irregular terrains, this paper addresses the wide-angle shift mapping method for irregular terrain processing in a 2D wide-angle parabolic equation model （WAPEM） and gives the algorithm and steps for computing the EM wave propagation at arbitrary distances and altitudes over the irregular terrains in terms of the addressed method. The calculation of EM wave propagation over triangular piece-wise linear terrain and its simulation are done, and the comparison between the obtained solution and reference one also made, which proves the availability and accuracy of the mapping approach and the scheme can be applied to the WAPEM for computing the EM wave propagation over irregular terrains.