Solving the Propagation of Electromagnetic Wave in a Simple Two-Dimension Inhomogeneous Media Based on Symplectic Geometric Theory

摘要

A new symplectic geometrical high-frequency approximation method for solving the propagation of electromagnetic wave in the two-dimension inhomogeneous media is presented inthis paper. The propagating caustic problem of electromagnetic wave is translated into non-caustic problem by the corrdinate transform on the symplectic space. The high-frequency approximation solution that includes the caustic region is obtained with the method combining the geometrical optics. The drawback that the solution in the caustic region can't be obtained with geometrical optics in overcome by this method. And the results are compared with those obtained by finite elements method, it proves to be satisfactory as well.