Search academic texts

Information × Registration Number 0307U001659, 0106U001534 , R & D reports Title The spectrun multifrequent analysis of the waveguides and open resonators theory and numerical design popup.stage_title Отримання граничних псевдодиференціальних рівнянь багатомодового аналізу відкритих коаксіальних резонаторів гіротронів та їх модифікація з метою чисельного моделювання розв'язків відповідних граничних задач і особливо в тривимірному випадку Head Gychenko S, Registration Date 18-04-2007 Organization Kharkov National University named after V.N.Karazin popup.description2 The object of research - effective numerical analysis of the finite-size open cylindrical resonators are presented in the report. The analysis of connection with the two-dimensional problem is performed. The results of numerical experiments illustrating possibilities of the methods are obtained. It is research into high-power microwave equipment with complicated geometry. The aim of the work is the development of mathematical models of gyrotron and performance of the numerical experiment for the full-wave analysis of gyrotron. The method of research. The solution of spectral problem for the electromagnetic field in axis symmetrical type resonator is numerically simulated. The special modification of the potential theory method, used in the paper, is available to solve the problem for the wide range of resonator types. In difference from traditional approaches to the problem of modeling such devices used abroad, the proposed method allows us to decrease the dimension of a problem, reducing it to seekingthe function of one variable. This allows us to substantially increase the accuracy of numerical modeling and to find the occurring the resonant effects, which are principal in development of such devices as microwave oscillators. Proposed metods of numerical modeling are based on deep research in the field of boundary value problems of mathematical physics and modern methods of numerical integration in development of which there is a substantial contribution of specialists from Kharkov National University. As a result of the work the mathematical model of gyrotron has been created. The numerical experiments for two main types of high power gyrotrons working on the modes TE31,17 and TE34,19 , have been conducted. The resonant frequencies and quality factors as well as distribution the field inside the coaxial gyrotron cavities, including region near corrugations, have been computed with desired accuracy. It is not accociate with large CPU time expenses, what allows us to use it for optimization purposes. MATHEMATICAL MODELS, SINGULAR INTEGRAL EQUATIONS, BOUNDARY VALUE PROBLEMS, GYROTRON. Conditions of access to the report: by agreement. 61077, Kharkov - 77, Svobody Sq. 4, KhNU. Product Description popup.authors popup.nrat_date 2020-04-02 Close