THEORETICAL STUDIES ON SOMMERFELD SURFACE WAVE RESONATOR

Abstract

The present report consists of a brief vesume of the properties of microwave resonators, such as,mode degeneracy, coupling of compsrnion modes etc , and the derivation of the equivalent circuit by using Lagrangian method. After making a comparative  study of the Sommerfeld and Harms--Gbubau surface wave lines the report deals with the theory of surface wove resenator excited in E, and EH and HE modes. As each of the Iatler two modes are coupled modes it is expected that the Q fuclor will be very low, so emphasis is Iuid on the Eo -mode resonator,which may be called the Sommerfeld surface wave resonator. Numerid Computarions for Q (Eo) and guide wavelength Ao (Eo) as function of the length I of the resonaror and frequency of excitarion for the Sommerfeld resonator show shut Q (Eo) increases linearly with increasing length of the resonaror for diflerext frequencies of excitation, whereas, A, decreases almost expnnenriafly with increase in frequency.