A New Family of Exponential Infinite Elements for the Analysis of Electromagnetic Waveguides

In this paper the Finite Element Method is employed for the analysis of electromagnetic lossless waveguides. The curl-curl equation, deduced from Maxwell equations, is solved for the electric eld. We have studied the appearance of parasitic solutions and formulated a suucient condition for their elimination which puts a contraint on the Finite Element spaces for the approximation of the eld components. A new family of discontinuous exponential innnite elements is proposed for the analysis of open waveguides: they are employed together with edge elements and a non-linear eigenvalue problem is deduced. We have presented numerical results in order to prove the validity of such innnite elements versus the Virtual Boundary Technique.