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The analytical and numerical method for solving a problem of electromagnetic waves scattering on a complex slotted perfectly conical structure is proposed. This method uses the Kontorovich-Lebedev integral transforms and the semi-inversion method. By virtue of it the 3-D scattering problem is reduced to solving algebraic equations system of second kind. The analytical solution is obtained for a single semi-transparent cone. The application of this method for solving an excitation problem for an imperfectly conducting cone is discussed.

complex cone antenna; integral transforms; semi-inversion method; analytical solutions; imperfectly conducting cone