The dielectric-coated conducting sphere excited iu the symmetric transverse magnetic mode-resonant characteristics

Abstract

The complex resonant frequencies have been determined for a few TMon modes by solving the characteristic equation obtained by using boundary value methods. The real part of the resonant frequency is lower for large value of the inner radius and decreases with increase in dielectric rating thickness for any particular node. The imaginatory part of the resonant frequency is found to increase with increase in coating thickness for a particular mode.The Q of the resonator has been computed at the real resonant frequeney. The effect on the Q values by considering, (i) the energy loss due to radiation only, (ii) the energy loss due to radiation and the dielectric, (iii) the energy stored in the dielectric only and (iv) the energy stored in the dielectric and ID the reactive field has been studied.