کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
759630 | 896485 | 2012 | 4 صفحه PDF | دانلود رایگان |

A general dispersion relation is derived for a relativistic rectilinear electron beam of arbitrary momentum distributions interacting with a dielectric in a guide magnetic field, on the basis of Maxwell equations and the relativistic Vlasov equation. The instability occurs when the beam velocity exceeds the wave phase velocity in the medium. The linear wave dispersion relation, growth rate, spatial growth rate are studied analytically for delta and Lorentzian distributions of beam momentums in detail. The results are of importance for a new kind of high-power microwave generation or amplification devices based on anomalous Doppler effect.
► The general dispersion relation for beam-wave interaction system has been derived.
► The result implies that instability occurs when the beam velocity exceeds the wave phase velocity.
► The growth rate and spatial growth rate are presented analytically.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 2, February 2012, Pages 650–653