We examine here the effects of plasmas and beam slippage on the gain of an
optical klystron (OK) free electron laser (FEL) device under the influence of a weak guiding magnetic field and background plasma. The beam energy spread decreases with background plasma
density nop and increases with beam plasma
density nob. The maximum gain (
Gmax) scales proportional to
a6001c861669eba"">. The beam slippage phase Δ
ψ scales directly to five power of relativistic factor
γ0 and one half power to
nob.