Analysis of Ohmic Quality Factor of Circumferentially Corrugated Circular Cavities

Abstract

A general analytical approach was proposed to estimate the ohmic quality factor of circumferentially corrugated cavities having a finite-single-valued and continuous radius-profile in circular symmetry within the boundary of its length. In the present paper, two field profiles, namely, the sinusoidal and the Gaussian one, and four radius profiles, namely, the sinusoidal, the cosinusoidal, the triangular-sinusoidal and the triangular-cosinusoidal, of the cavity were considered and the results were presented in order to demonstrate the helpfulness of the proposed approach. Out of the eight cavity versions considered, the minimum and the maximum ohmic quality factors were obtained for the cavity with sinusoidal field profile and triangular-sin radius profile and for the cavities with Gaussian field profile with sinusoidal and cosinusoidal radius profiles. It has been found that for higher values of the cavity-length to corrugation-period ratio (≥3), the ohmic quality factor performances of the cavities in sinusoidal and cosinusoidal radius profiles overlap.