метод послідовних наближень

Modeling the radiation pattern (RP) of plane arrays has been carried out using the strict electrodynamical solution of the respective direct problem that allows obtaining the representation of RP in the explicit operator form. The system of integral equations of the Hallen type is used for the determination of the current distribution in the apertures of radiators. The optimal excitation coefficients in apertures are determined while minimization of functional presenting the mean-square deviation of the given and synthesized amplitude RPs.

The problem of electromagnetic waves scattering on the small particle is reduced to solving the Fredholm integral equation of the second kind. Integral representation of solutions to the diffraction problem implies in determination of some auxiliary function which contains in integrand of this equation. The respective linear algebraic system for the components of this auxiliary function is derived and solved by the successive approximation method. The region of convergence of the proposed method is substantiated numerically.