The Optimum Design of the Toroidal Resonator

The optimum design of a class of toroidal resonators which are capacitively loaded and therefore short in wavelengths is considered. The possibility of including magnetic cores with various types of air gaps is included and it is shown that below a certain critical size, which is a function of the magnetic merit factor, the net Q may be improved with the optimum material and the optimum air gap. Even without magnetic cores these resonators obtain a higher Q per unit volume than any other known electrical resonator.