Abstract
A thorough power analysis to extract the energy coupling and power dissipation in a tiny spherical dielectric during its fall through an X-band cavity is presented. The determination of the frequency and Q-factor deviation is analytically performed for every position of the sample crossing the cavity. This paper describes a power model based on the perturbation theory and a thermal model, in order to determine the maximal temperature reached after heating in the cavity as function of the complex dielectric properties of a material. The procedure is validated with experimental measurements of a manufactured cavity heating water drops.