【摘要】 文章提出一种应用基于辛几何理论的高频近似方法,求解二维反射面天线上电磁场的传播问题,验证了该方法能够克服几何光学法在焦散区无法求解的缺陷。通过引入与原物理空间维数相同的波向量空间,与物理空间一起构成辛空间,再利用坐标变换,将物理空间中波传播的焦散问题转为混合空间中非焦散的问题,解得包括焦散区在内的高频近似解。更多还原

【Abstract】 A symplectic geometrical high-frequency approximation method is presented to study the propagation of electromagnetic wave of a two-dimensional reflector antenna. With this method,the drawback that the solution in the caustic region cannot be obtained with geometrical optics can be overcome. At first,the new vector space having the same dimensions with the original physical space is introduced. The new vectors combine with those physical vectors to form a symplectic space. The propagating caustic problem of electromagnetic wave in the physical space is translated into non-caustic problem in the mixed space by means of the coordinate transform and the high-frequency approximation solutions including those in the caustic region are obtained.更多还原