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Information × Registration Number 0305U003242, 0103U004230 , R & D reports Title Full wave analysis of coaxial cavities of gyrotrons for thermonuclear fusion research popup.stage_title Розрахунок дифракційної та омічної добротностей надрозмірного коаксіального резонатора з гофрованим внутрішнім провідником Head Zaginaylov G., Registration Date 02-03-2005 Organization Kharkov national university named after V.N. Karazin popup.description2 The object of research - 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 problem of calculation of RF field in coaxial gyrotron cavity (the piece of a weakly inhomogeneous coaxial waveguide with corrugated inner conductor) is considered in the frame work of rigorous approach. This problem is identically reduced to a singular integral equation on the interval, for which the effective direct numerical methods of solution are just well known. 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 seeking the 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 developmentof 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, coaxial gyrotrons. Product Description popup.authors popup.nrat_date 2020-04-02 Close