Design of resonators from sections of irregular transmission lines

Abstract

The problem of minimization of the difference in the characteristic impedances of resonators designed from sections of smoothly irregular and stepwise irregular transmission lines, which have distributions of initial eigenfrequencies important for practice, is solved. This problem is solved using the parametric synthesis method in which resonator eigenfrequencies are used as independent variables. It is shown that stepwise irregular resonators have lesser differences in the characteristic impedances than smoothly irregular resonators. A characteristic feature of synthesized resonators, their tendency to most simple shapes, is found. A set of synthesized stepwise irregular resonators is presented and their main characteristics are described. Using features of the obtained solutions, a simple method for the design of stepwise irregular resonators with minimum difference in the characteristic impedances is proposed, which allows one to expand in future the set of resonators suitable for practical applications.