Solving Concave Electromagnetic Scattering, Based On The Theory Of Symplectic Geometry

Sympleetic Geometrical Theory is a kind of high-frequency asymptotic method of solving electromagnetic wave propagation. Overcoming the trouble in electromagnetic wave propagation and getting better fesults is its advantage. Those new vectors that are 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. Sympleetic Geometrical Theory is used to solve scattering field of two-dimension and three-dimension concave objects. The paper includes three following research work:First, introduce how to solve electromagnetic wave propagation of concave objects in caustic field, discuss the general method of solving the caustic problem, and calculate a simple example.Second, solve electromagnetic wave propagation of two-dimension concave obj ects by symplectic Geometrical Theory, and get better field solutions in caustic field2)comparing with classical GO method.Third, solve electromagnetic wave propagation of a three-dimension concave object by symplectic Geometrical Theory, and get a better field solution in caustic field comparing with other methods.When Symplectic Geometrical Theory is introduced into solving electromagnetic wave propagation, better field solutions in caustic filed have been gotten. That is a method worth furthering study in order to solve more problems of electromagnetic wave propagation.