Numerical solution of nonlinear spectral problems in syhthesis theory of antennas with flat aperture

Numerical method for solving the nonlinear two-parameter spectral problems arising in nonlinear synthesis theory of antennas with a flat radiating aperture is considered. The numerical algorithms to find the connected components of the spectrum of linear homogeneous two-dimensional integral equations which describe the branching lines of solutions of synthesis problems of the flat apertures and antenna arrays according to the prescribed requirements to amplitude directivity pattern are constructed and justified. For the case of rectangular aperture the analysis of branching of the solutions of basic equations of synthesis with using the proposed method is presented. Results of numerical experiments are given.