Generalized reaction and unrestricted variational formulation of cavity resonators. I. basic theory

Author

Shams-Zadeh-Amiri, Ali M. ; Safavi-Naeini, Safieddin ; Chaudhuri, Sujeet K. ; Sabry, Ramin

Author_Institution

Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada

Volume

50

Issue

11

fYear

2002

fDate

11/1/2002 12:00:00 AM

Firstpage

2480

Lastpage

2490

Abstract

Based on the reciprocity theorem, the reaction concept in electromagnetic theory is generalized to the cases where both surface electric and magnetic currents overlap across boundaries, i.e., neither the E-field, nor H-field meets the continuity conditions. An improved systematic method is then developed to obtain unrestricted variational expressions in a cavity resonator for which the tangential components of the trial fields can be discontinuous across its interior boundaries.

Keywords

cavity resonators; eigenvalues and eigenfunctions; electromagnetic field theory; mode matching; variational techniques; cavity resonator; continuity conditions; eigenvalue problem; electromagnetic theory; generalized reaction formulation; mode-matching method; reciprocity theorem; surface electric currents; surface magnetic currents; unrestricted variational formulation; Cavity resonators; Dielectrics; Eigenvalues and eigenfunctions; Magnetic fields; Mathematics; Mode matching methods; Oscillators; Physics; Resonant frequency; Resonator filters;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2002.804521

Filename

1046019