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Information × Registration Number 0212U002683, 0109U000557 , R & D reports Title Mathematical design of volnoobrazuyschih of electrodynamic structures and numeral experiment popup.stage_title Head Gychenko Stanislav, Registration Date 25-01-2012 Organization Kharkov National University named after V.N. Karazin popup.description2 The main objects of study are: open waveguides, flat screens located in a homogeneous space and placed on an insulating gasket, also one, two, or multi-mirror MM-wave radio telescopes. The main claim of this investigation is to construct mathematical 3D models of wave - electrodynamics' structures of finite diameter. The full-wave numerical study and design of flat waveguides and mirror MM-wave radio telescopes is represented. We use the approach of the boundary value problem for Maxwell equations. We reduce it to boundary integral equations and on this base we construct discrete mathematical models using the numerical method of discrete singularities. General problem and its topicality. In contrast to the traditional approaches to the problem of modeling such devices based on direct methods of discretization of multidimensional Maxwell equations the method we use enables us to decrease the dimension of the problem and to reduce it to a set of hypersingular integral-differential equations of one variable. Then they are reduced to a set of well-conditioned systems of linear algebraic equations. This fact enables us to improve the accuracy of numerical modeling and to find some resonance effects, which are fundamentally important when designing such devises. Other advantages of the method of discrete singularities developed in our department are also widely used in obtaining of effective methods of solving the posed problems. The proposed methods of the numerical modeling are based on great achievements in the sphere of boundary value problems in mathematical physics and modern methods of numerical integration which involve the reduction to boundary hypersingular integral equations. It enabled us to decrease the dimension of the problem. The development of this method has a significant contribution made by scientists of V. N. Karazin Kharkiv National University. KEY WORDS: MATHEMATICAL MODELLING, HYPERSINGULAR INTEGRAL EQUATIONS, BOUNDARY VALUE PROBLEMS, COAXIAL RESONATOR, FLAT SCREEN, AXISYMMETRIC PERIODICALLY CORRUGATED WAVEGUIDE, SPECTRAL ANALYSYS Product Description popup.authors Булигін В. Гандель Ю. Костенко О. Мищенко В. Носич А. Трощій М. Щербина В. popup.nrat_date 2020-04-02 Close