Generalized variational approach to the waveguide array synthesis

Some generalizations of the variational statement for the problem of antenna synthesis according to a prescribed amplitude radiation pattern (RP) are examined. An additional summand is included in optimizing the functional, that allows the electromagnetic field to be minimized in the near zone. The respective nonlinear Euler's equation is obtained and investigated by numerical methods. The results of numerical modeling are represented. They show the opportunity for the formation of nulls in the synthesized RPs, as well as a decrease of field amplitude in given areas of the near zone.