On the Problem of the Coupled Cavity Chain Characteristic Calculations

Abstract

This paper presents the results of studies in elaboration of a mathematical model of the cavity-chain slow wave structures. Considered is the problem of coupling of an infinitely long cylindrical cavity chain coupled through centerholes in the dividing walls of finite thickness without the assumption about smallness of any parameters. On the basis of a rigorous electrodynamic approach it is shown that the cavity chain can be described by a set of equations that describe the coupling of an infinite number of similar-type modes of short-circuit cavities. At the same time the coupling coefficients are determined by solving the basic sets of linear algebraic equations which describe the coupling the tangential electric fields on the right and left cylindrical hole cross-sections of the disks. The results are given of numerical simulations of the dependence of electrodynamic characteristics on the number of connections between the modes taken into account. Based on these calculations for different cavity dimensions, the number of coupling connections that give the sufficient accuracy of the description was determined.