Synthesis of amplitude radiation pattern for plane waveguide array using the variational approach and method of aperture orthogonal polynomials

The synthesis problem of 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 aperture orthogonal polynomials (AOP) method, are considered as alternative approaches to solve the synthesis problem. The functional representing a mean-square deviation of the prescribed and received amplitude radiation patterns is minimized, as well as the expansion of sought amplitude-phase distribution of current in the series by some kind of AOP that implies the finding the expansion coefficients, are used for determination of the optimal amplitude distributions of current in array. The modeling results are presented.