Numerical algorithms of finding the branching lines and biffurcation points of solutions of nonlinear integral equation arising in the theory of antennas synthesis

Abstract

The nonlinear synthesis problem of a plane equidistant antenna array according to the given requirements to an amplitude directivity pattern is considered. When finding the branching lines of solutions of nonlinear integral equations obtained as a result of solution of the synthesis problem, the two-parameter eigenvalue problems with spectral parameters analytically including in a kernel of the linearized integral operator are arisen. For such problems the numerical algorithms of finding the eigenvalue curves and the bifurcation points are considered. The numerical examples are presented.