On the derivation of generalized transmission line equations of cylindrical waveguides with irregular deformed surfaces

In general Maxwell's equations cannot be solved in an analytic manner but numerous methods for the approximation of these equations are available. On the other hand Maxwell's equations can be transformed into ordinary differential equations of the transmission line type under certain conditions. In this paper we will discuss such cases where the electromagnetic field can be calculated for the original geometry by means of generalized transmission line equations. Subsequently we will discuss whether these equations can be derived also if the boundary conditions are disturbed in an irregular manner.