Analysis of parallel plate waveguides with nonperiodically corrugated walls

In this study, parallel plate waveguides with non-periodically corrugated walls are analyzed using mode-matching techniques. Mode-matching technique is a very accurate method for determining behaviors of electromagnetic waves at discontinuities. It uses the advantage of orthogonality of sinusoidal functions apparent in expressions of field components for each mode while applying boundary conditions at discontinuity. Once relations between backward and forward travelling waves are derived from boundary conditions, the Scattering Matrix can be obtained. After obtaining the scattering matrix for a discontinuity one can cascade those scattering matrices together to obtain a Generalized Scattering Matrix for a structure that consists of multiple discontinuities. Implementation of this study is done in a Python environment with NumPy, Matplotlib and Pandas libraries installed. Results that are obtained from the derived analytical method are compared with results from CST Studio Suite 2022 for verification of the implemented algorithm.