Nonlinear three-parametric spectral problems in the synthesis theory of radiating systems with a flat aperture

Numerical method for solving the nonlinear three-parametric spectral problems arising, in particular, in the nonlinear antenna synthesis theory with a flat radiating aperture is considered. Numerical algorithms for finding the connected components of the spectrum of linear homogeneous two-dimensional integral equations describing the bifurcation surface of solutions of synthesis problems of flat antenna according to the prescribed requirements to energy directivity pattern are constructed and justified.