A. V. Sochilin, I. S. Eminov, S. I. Eminov

The electrodynamic analysis of arc dipole antenna is based on the solution two-dimensional integro-differential equation. The two-dimensional equation is transformed to one-dimensional hyper-singular equation by means of separation of logarithmic sin-gularity. The solution of hyper-singular equation is looked for seek with the help of expansion in series by the Chebyshev polynomial-s of second kind with the coefficient which realize Meixner condition-s on a edge. The matrix elements are presented like double ore triple integrals. The problem of calculation of matrix elements is solved. The computer-based program is worked up and the numerical calculation is realized. The convergence of numerical analytic method is investigated. The investigations of dependence from the antennas parameters are kept.