Prediction of Cutoff Frequency of Irregular Pentagonal Waveguide

This article uses the conformal mapping technique (CMT) to study the irregular pentagonal waveguide (IPWG). This technique is applied to map the IPWG into a simple rectangular one. The lowest cutoff frequency
$(f_{c})$
of this waveguide is calculated from its wave equation in the transformed domain using the Galerkin method. The relation between
$k$
and
$\beta$
of the pentagonal waveguide is also studied with the help of this technique. Numerical 3D electromagnetic simulator (HFSS) is used to validate the results.