A new family of exponential infinite elements for the analysis of lossless electromagnetic waveguides Original Research Article

In this paper the Finite Element Method is employed for the analysis of electromagnetic lossless waveguides. The curl-curl equation, deduced from Maxwellʹs equations, is solved for the electric field. We have studied the appearance of parasitic solutions and formulated a sufficient condition for their elimination which puts a contraint on the Finite Element spaces for the approximation of the field components. A new family of discontinuous exponential infinite 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 infinite elements versus the Virtual Boundary Technique.