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| Paper IPM / P / 8601 |
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| Abstract: | |||||
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A kinetic theory is used to find the dispersion relation of a plasma-loaded free-electron laser that
takes into account the velocity spread of both beam and plasma electrons. For the weak-coupling
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 higher-frequency resonance and lowers it for the lower-frequency
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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