The analytic-numerical solution method of the nonlinear problems of the antennas phase synthesis

The phase synthesis problems of antennas according to the prescribed amplitude radiation pattern in the variational statement are considered. Optimization of the considered functionals reduces the problems to the nonlinear Euler's equation set concerning the phase radiation pattern and unknown phase distribution of a current. The appropriate linear equation for determination of the branch points is obtained. For investigation of this equation the numerical approach is used.