M. Yousefi et al., GIBC FORMULATION FOR THE RESONANT FREQUENCIES AND FIELD DISTRIBUTION OF A SUBSTRATE-MOUNTED DIELECTRIC RESONATOR, IEEE transactions on antennas and propagation, 42(1), 1994, pp. 38-46
Dielectric resonators (DR's) are widely used in telecommunication syst
ems. A method is proposed here to find the resonant frequency and fiel
d distribution in a substrate-mounted DR structure. The field of a die
lectric rod has been decomposed into a combination of guided modes wit
h unknown coefficients and an unknown continuous spectrum of radiation
field. The unknown are then obtained by applying two generalized impe
dance boundary conditions (GIBC's) representing the substrate and air
layers at the top and bottom of the DR. This leads to the calculation
of the total (guided + radiation) field as well as the resonant freque
ncy of the structure.