Synthesis of a waveguide array with due regard for the mutual coupling of radiators

The approach for solving the nonlinear synthesis problems of radiating systems according to the prescribed amplitude radiation pattern with due regard for the mutual coupling of separate radiators is proposed by an example of synthesis of a linear waveguide array. The variational statement of the problem is considered. The goal functional takes into account both the mean-square deviation of modules of the prescribed and synthesized radiation patterns and restriction on a norm of the excitation sources. The investigation of the problem solutions and their numerical determination is based on solutions of the Euler equation of the used functional. This equation is a nonlinear integral equation of the Hammerstein type. Algorithms of the direct minimization of functional by gradient methods are also constructed