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Paper IPM / P / 8601  


Abstract:  
A kinetic theory is used to find the dispersion relation of a plasmaloaded freeelectron laser that
takes into account the velocity spread of both beam and plasma electrons. For the weakcoupling
regime, the dispersion relation for a cold electron beam and plasma is obtained and is studied
numerically. The kinetic theory predicts that, for the cold beam and plasma, plasma density
increases the growth rate of the higherfrequency resonance and lowers it for the lowerfrequency
resonance up to a certain plasma density. By increasing the plasma density further, a critical density
will be reached that diminishes the instability.
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