Cutoff frequencies of electromagnetic waves Propagating in a hexagonal waveguide

Abstract-In this work, cut-off frequencies of propagation of electromagnetic waves in a hexagonal waveguide are calculated using twodimensional (2-D) finite element method. The numerical approach is a standard one and involves six finite elements. A new type of hexagonal waveguide structure for the simple homogeneous dielectric case has been considered. The starting point is Maxwell’s equations in conjunction to the exponential dependence of the fields on the Zcoordinates. For the homogeneous case, it results in the Helmholtz equations. Finally, finite element method has been used to derive approximate values of the possible propagation constant for each frequency.