Radially Three-Layered Dielectric Resonators for Millimeter Wavelengths

In the present paper eigen oscillations of radially three-layered cylindrical and spherical dielectric resonators are studied. The cylindrical resonator is limited with two perfectly conducting end plates. The resonator layers radii are denoted by r p , p=1;2;3 are the boundaries of resonator layers, the radial thicknesses of the middle layers are Delta=r 2 -r 1 , L is the axial size of the cylindrical resonator. All resonator layers are isotropic and they are characterized by complex permittivity epsiv nu =epsiv' nu (1+itandelta nu ) and permeability mu nu =mu' nu +imu n nu where nu =1, 2, 3 is the number of a resonator layer counted off from the resonator center and nu =4 is the number of the ambient medium, tandelta nu is loss tangent of the respective layer.