SUBSTRACT
Hamid Allah Mohammed . The approximate nonlinear theory of relativistic and non relativistic autophase devices of superhigh frequencies. – Manuscript.
The thesis of dissertation for a Condidate’s degree in Technical Sciences on speciality 05.27.02 – “vacuum, plasma and quantum electronics”. National Technical University of Ukraine "KPI", Kiev 2003.
The dissertation is devoted to create an approximate nonlinear theory and engineering methods for calculating autophase devices of superhigh frequencies - a new class of electron-vacuum powerful relativistic and non relativistic devices of superhigh frequencies in which basis of work the phenomenon of full capture electrons a field of an electromagnetic wave.
By means of the analysis of physical processes the basic features of interaction in autophase lamps of a progressing wave with azimutally nonsymmetric field (ATWT) and in autophase lasers on free electrons (AFEL) are allocated. Preservation only these features in the mathematical description of this interaction has allowed to simplify sharply the initial equations of movement and high frequencies fields. The approximated equations were solved with use of various variants of a method of averaging. Simple analytical decisions which are based approximated nonlinear theories ATWT and AFEL are received. By means of these theories engineering methods of calculation of key parameters of these devices have been advanced. Comparison of the results received under approximated theories, to the exact data that has confirmed high enough accuracy , the calculations of approximated results is lead. High accuracy of calculations under the approximated theory has allowed to offer on its basis new operating mode ATWT, considerably more effective, than a known classical operating mode (the length of the device in a new mode is reduced in 1,5–2 times in comparison with its length in a classical mode without changed level of efficiency of the device).
Keywords: autophase devices, autophase lamp of progressive wave, autophase free electrons laser, bunch capture, approximate theory and calculating method.
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