Analysis of Millimeter Wave Resonator

Abstract

The direct and efficient Transverse Transmission Line (TTL) method is used to analyze the unilateral fin-line resonator. In this method the Maxwell's equations in Fourier transformed domain, are firstly used to obtain the electromagnetic fields in terms of the transversal electromagnetic fields. An inhomogeneous equation 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 gives the complex resonance frequency.