Title :
FEL dispersion equation with account for relativistic space-charge effects
Author :
Goryashko, Vitaliy A. ; Ilyenko, Kostyantyn ; Opanasenko, Anatoliy N.
Author_Institution :
Inst. for Radiophys. & Electron., Nat. Acad. of Sci. of Ukraine, Kharkiv, Ukraine
Abstract :
We give a qualitative derivation of a free-electron laser (FEL) dispersion equation, which takes into account not only non-relativistic (potential) but also relativistic (rotational) space-charge effects. The derivation is based on a generalisation of a dispersion equation for a Compton FEL obtained by us earlier, a certain weakly-relativistic quasistatic approximation of the space-charge field (the Darwin model), and uses an analogy between FEL and a travel wave tube (TWT). An analysis of the obtained linear growth rates is presented.
Keywords :
Compton effect; dispersion relations; free electron lasers; relativistic electron beams; space charge waves; travelling wave tubes; Compton FEL; Darwin model; TWT; free electron laser dispersion equation; nonrelativistic space-charge effects; relativistic space-charge effects; travel wave tube; weakly-relativistic quasistatic approximation; Dispersion; Electron beams; Equations; Free electron lasers; Laser beams; Mathematical model; Undulators;
Conference_Titel :
Microwave and Telecommunication Technology (CriMiCo), 2010 20th International Crimean Conference
Conference_Location :
Sevastopol
Print_ISBN :
978-1-4244-7184-3
DOI :
10.1109/CRMICO.2010.5632582
