Reduced‐order method for dielectric resonators using FEM and CFH

Abstract

This paper describes an efficient reduced-order method for the analysis of cylindrical dielectric resonators with an inhomogeneous dielectric medium. The field equations are formulated using the Laplace-domain finite element method and are reduced to lower-order models using the complex frequency hopping (CFH) technique. CFH is a moment matching technique which has been used successfully in the circuit simulation area for the solution of a large set of ordinary differential equations. The proposed technique is faster than the conventional approach by one to three orders of magnitude. The results are compared with those of other numerical methods available in the literature.

Model-Reduction Method for Electromagnetic Problems

“…More recently, the complex frequency hopping method which has been used efficient in the simulation of large circuits including both lumped elements and transmission lines [12][13][14] was used in conjunction with the finite element modeling of electromagnetic problems [15,16]. This paper discusses the extension of a model reduction method [15,16] based on the tangential vector finite element and complex frequency hopping methods to compute the resonant frequencies of cavity resonators and the characteristic impedance of stripline shielded in a rectangular cavity.…”

“…This paper discusses the extension of a model reduction method [15,16] based on the tangential vector finite element and complex frequency hopping methods to compute the resonant frequencies of cavity resonators and the characteristic impedance of stripline shielded in a rectangular cavity.…”