Comparative synthesis of waveguide array using the variational approach and R-function method

The synthesis problem of the waveguide array according to the prescribed amplitude radiation pattern is considered. The mutual coupling of the separate elements of array is taken into account in the process of solution of a direct problem (analysis problem). Variational statement of the synthesis problem and application of the R-function method, are considered as alternative approaches to solve the synthesis problem. The functional representing a mean-square deviation of the prescribed and received radiation patterns is minimized, as well as the expansion of synthesized amplitude radiation pattern in the series by some kind of R-functions that implies the finding the expansion coefficients, are used for finding the optimal amplitude distributions of current in antenna. The corresponding nonlinear equations are reduced; and the modeling results are shown.