Finite element analysis of the waveguide system based on the operator theory of vector wave function space

This paper presents a finite element method for the analysis of waveguide system without spurious modes. Prom the operator theory of the vector wave function space, a succinct and complete electromagnetic wave equation set is derived and the electiic field intensity vector can be expressed by two scalar functions. These two scalar functions are numerically computed by using finite element method so that the parameters of the waveguide system can be obtained. The method is demonstrated by the calculation of the reflection coefficients of the rectangular waveguide with an inductive diaphragm and the rectangular waveguide with an E-plane step respectively.