抛物线方程在计算三维电大目标电磁散射中的应用

Application of the parabolic equation to calculating electromagnetic scattering of three-dimensional electrically large objects

抛物线方程算法是建立在波动方程轴向近似基础上的一种数值方法,该方法假设电磁波能量沿抛物线轴向的锥形区域传播。文章推导了三维标准的抛物线方程及相应的近场-远场变换理论,并计算了理想导体球的雷达散射截面;数值结果表明抛物线方程算法的引入,在保证一定精度的前提下,大大提高了计算效率,节约了内存。

The parabolic equation method, which is an efficient and fast numerical approach based on paraxial approximation of the wave equation, models energy propagation in a cone centered on the paraxial direction. In the paper, the three-dimensional standard parabolic equation（SPE） and near-tofar-field transformation are deduced, and the radar cross section （RCS） of a perfectly conducting sphere is calculated. The numerical results demonstrate that the parabolic equation ensures the precision, enhances computational efficiency and saves the memory.