Analysis of the Effectiveness of Power Equations in the Description of Electron-Wave Processes in the Amplifier Model Based on the Smith-Purcell Effect

Author(s) A.A. Rybalko
Affiliations Sumy State University, 2, Rimsky-Korsakov Str., 40007, Sumy, Ukraine
Issue Volume 1, Year 2009, Number 3
Dates Received 27.10.2009, in final form 19.11.2009
Citation A.A. Rybalko, J. Nano- Electron. Phys. 1 No3, 6 (2009)
PACS Number(s) 42.82.Et
Key words Diffraction radiation, Electron flow, Open waveguide, Magnetic field (7) , Electromagnetic wave (3) .
We present the comparative analysis of different approximations used to obtain the dispersion equations in the form of power polynomials, which allow to describe the electron-wave processes in the amplifier system an open waveguide with periodic structure and an electron beam. Shown, that the amplifier model described by the analytical third- and seventh-order dispersion equations is the most evident one from the physical point of view. These equations allow to take into account the basic characteristics of electrodynamic system and electron beam, which interacts with a bulk wave of the investigated quasi-optical system.