Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics

Author(s) V.V. Kulish1 , A.V. Lysenko2 , G.A. Oleksiienko2, G.V. Bychenko2, O.A. Koloskova2

1 National Aviation University, 1, Kosmonavta Komarova Ave., 03058 Kiev, Ukraine

2 Sumy State University, 2, Rimsky Korsakov Str., 40007 Sumy, Ukraine

Issue Volume 7, Year 2015, Number 2
Dates Received 27 January 2015; revised manuscript received 07 June 2015; published online 10 June 2015
Citation V.V. Kulish, A.V. Lysenko, G.A. Oleksiienko, et al., J. Nano- Electron. Phys. 7 No 2, 02015 (2015)
PACS Number(s) 02.60.Cb, 41.60. – m, 52.35. – g
Key words Method of averaged characteristics, Multiharmonic parametric resonances, Relativistic electron beams, Nonlinear equations, Partial differential equations.
Annotation We modernize the method of averaged characteristics in the part of constructing scheme of asymptotic integration of nonlinear differential equation systems, taking into account the features of multiharmonic resonant interactions in devices high-current electronics. The schemes of asymptotic integration, which combines procedures of the straight and inverse transformation, have been constructed. We consider both the case of a fast phase, and the case of many fast phases.


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