Title :
Equivalent Resonant Cavity Model of Arbitrary Periodic Guided-Wave Structures and Its Application to Finite-Difference Frequency-Domain Algorithm
Author :
Xu, Feng ; Wu, Ke ; Hong, Wei
Author_Institution :
Poly-Grames Res. Center, Ecole Polytech. de Montreal, Que.
fDate :
4/1/2007 12:00:00 AM
Abstract :
An equivalent resonant cavity model is proposed and developed for efficiently and accurately extracting the complex propagation constant of any arbitrary bounded and unbounded periodic guided-wave structures, which is known as a difficult eigenvalue problem with respect to a deterministic or S-parameter-based field solver. In this study, this problem is formulated as a standard eigenvalue one, which is made possible by effectively translating the transmission distance-related attenuation part of complex propagation constant into a time-dependent damping factor. This allows the development of an equivalent resonant cavity model to substitute or replace the periodic guided-wave model, leading to a complex frequency simulation model. As a result, the simulation time and storage requirement are then reduced significantly with this complex frequency approach. A finite-difference frequency-domain algorithm combined with this model is used to demonstrate the concept, and the properties of arbitrary complex closed/open periodic guided-wave structures are rigorously investigated. The proposed algorithm has been validated by both simulations and experiments
Keywords :
S-parameters; cavity resonators; eigenvalues and eigenfunctions; electromagnetic wave propagation; finite difference methods; frequency-domain analysis; S-parameter field solver; eigenvalue problem; finite-difference frequency-domain algorithm; frequency simulation model; periodic guided-wave structures; propagation constant; resonant cavity model; Attenuation; Damping; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Loaded antennas; Periodic structures; Propagation constant; Resonance; Transmission line antennas; Equivalent resonant cavity model; finite-difference frequency-domain (FDFD) algorithm; large-scale standard eigenvalue problem; periodic guided-wave structure;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2007.893670