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Analytics inversion of hypersingular operator is derived and based on this, an efficient numerical–analytical method for solving hypersingular integral equations is constructed. Applications of analytical inversion of hypersingular operator in antenna theory are examined. Letters in MTP

An analysis of ill-posed electrodynamic problems formulated in the form of the 1-st kind Fredholm integral equations (IE) is carried out. It is shown that the Tykhonoff regularization of ill-posed problems ensures stable solutions for electromagnetic field only on the surface, where the 1-st kind Fredholm IE is posed. A well-posed method of physical ...

The infinite array of stepped plane-parallel waveguides with dielectric inserts and projected dielectric elements, excited by TEM-waves is analyzed in this article using the integral equation for electric field (polarization current) in the projected element and field linking method in the horn; the differential equation is solved using the Galerkin method using vector waves of the corresponding resonator as basis and weight ...