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

A.M. Shams-Zadeh-Amiri, S. Safavi-Naeini, S.K. Chaudhuri and R. Sabry
IEEE transactions on microwave theory and techniques, Vol.50(11), pp.2480-2490
01/11/2002

Abstract

Cavity resonators Dielectrics Eigenvalues and eigenfunctions Magnetic fields Mathematics Mode matching methods Oscillators Physics Resonant frequency Resonator filters
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.

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