Optimum design of the array of circumferential slots on a cylindrical waveguide

In this paper the design equations for an array of circumferential slots on a cylindrical waveguide are obtained, following the procedure introduced by Elliott for slots on rectangular waveguides. The method of least squares is then developed for the synthesis of radiation patterns with specified side lobe levels (SLL) and also impedance matching of the array input. The minimization of the error function is achieved by the combination of genetic algorithm (GA) and conjugate gradient (CG) method. Several numerical examples are presented as illustrations of the proposed synthesis method. The results of array designs by the method of least squares are verified by Ansoft HFSS computer simulation software.