A new study of the transverse transmission line method in asymmetric unilateral fin line resonator

The direct and concise Transverse Transmission Line (TTL) method is used to analyze unilateral fin-line resonators A slot resonator in unilateral fin line is a circuit element that is extensively used as a building block in the design of fin-line filters. In the direct TTL method, the Maxwell's equations in the Fourier transformed domain, are firstly used to obtain the electromagnetic fields in terms of the transversal electromagnetic fields. An inhomogeneous equations system is obtained, in which the current densities in the conductor fins are related to the electric fields in the slot. The TTL method in conjunction with the Galerkin's procedure and Parseval's relation are applied to obtaining a homogeneous equation system with two variables. The determinant of this system is the complex resonance frequency. The full wave TTL method gives precise and concise equations.