Some Generalizations of the Synthesis Problem for Plane Arrays

The usual variational statement of synthesis problem is generalized for accounting the additional requirements to the synthesized radiation pattern (RP) and field distribution in the appointed areas of a near zone. For this goal, the minimizing functional is supplemented by term providing the ability to minimize the values of field in these areas; the creating the deep minimums in the RP for the certain angular coordinates is realized too. The approach foresees the obtaining the explicit formula for the field values in a near zone. The results of computational modeling testify the ability to create zeros in the RP and to minimize significantly the values of field in a near zone of plane arrays.