Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. Operation at high order modes increases possibility of excitation of several modes capable of efficient interaction with an electron beam during start up process. Starting current of several modes is below the operating current for all operating values of beam energy, see Fig.1. Presence of several modes leads to complicated processes of mode competition during start-up. Gyrotron design requires accurate simulations of start-up scenario to be able to control gyrotron operation at optimal efficiency at desired mode. Computationally efficient code, such as MAGY [2,3], is suitable for mode competition modeling during the long voltage rise time with respect to period of operating frequency.This presentation devoted to recent development of MAGY model that allows effective simulations of start-up scenario in gyrotrons with dense mode spectrum, such as the FZK 170 GHz gyrotron. The development of new models is motivated by the needs of accurate modeling of mode competition involves six or eight modes. This includes modes both at fundamental and cyclotron harmonics.
MAGY Models for Mode Interaction in GyrotronsAccurate simulations of mode competition process in gyrotrons with dense spectrum is challenging task even for the efficient code MAGY. Up to now there is no general computationally efficient solution for arbitrary number of modes with arbitrary indices and arbitrary frequencies. The recent development of the models is based on the most common patterns of mode competition in gyrotrons [4,5], namely triplet (or multiplet) of modes capable of parametric cross-excitation and doublet of modes with different azimuthal indices. The developed models allow for combination of triplets and doublets of modes to resolve main sequence of modes among large number of modes capable of self-excitation and competition.Simulations of mode interaction processes involving large number of modes require models with large number of particles included in simulations. If number of particles is N for the single mode model, then it should be N 2 for the two of three modes and N 3 for six or eight modes to provide the same level of accuracy of simulations. A typical run time for MAGY simulation at PC type computers (Pentium 4, 3.4 GH...