二维反射面天线上电磁波传播的辛几何方法

Study on Electromagnetic Wave Propagation in a Two-Dimension Reflector Antenna by Symplectic Geometrical Theory

文中采用辛几何方法得到了二维反射天线上电磁波传播问题的解.通过引人与原物理向量数量相同的新向量,与原物理向量一起组成一个辛空间,把物理空间上的传播问题推广到辛空间进行求解,得到了更为精确的结果.

Solution on electromagnetic wave propagation in a two-dimensional reflector antenna by Symplectic Geometrical Theory is gotten. At first, the new vectors having the same numbers with these original physical vectors are introduced. The new vectors combine with those original physical vectors to form a symplectic space. The propagating problem in the physical space is promoted to Langrange manifold in the symplectic space, with better result obtained.