Phys. Rev. ST Accel. Beams 10, 080701 (2007) [9 pages]Small signal gain of a Smith-Purcell free electron laser |
G. F. Mkrtchian *
Department of Quantum Electronics, Yerevan State University, 1 A. Manukian, Yerevan 375025, Armenia
Received 18 June 2007; published 7 August 2007
In this paper the operability of a Smith-Purcell free-electron laser for an arbitrary grating is considered. An arbitrary grating is described in terms of impedance matrix. The consideration is based on the self-consistent set of Maxwell-fluid equations. The dispersion relation is established for the TM mode of electromagnetic waves. The latter is studied considering amplification of the evanescent as well as radiation modes. The small signal gain in various limits is calculated and the dependence of the gain on the electron beam current is analyzed.
©2007 The American Physical Society
URL: http://link.aps.org/abstract/PRSTAB/v10/e080701
DOI: 10.1103/PhysRevSTAB.10.080701
PACS: 41.60.Cr, 42.25.Fx, 07.57.Hm
* mkrtchian@ysu.am
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