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Energy and Momentum Conservation Requirements
Energy Exchange Between Free Electrons and
Optimized Operation of a FreeElectron Laser
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amplifier amplitude assumed average axial beam current beam energy Boltzmann equation bucket bunching calculations cavity Cerenkov radiation Cerenkov-Raman constant coupled curve decrease density detrapping device dielectric discussed dispersion effects efficiency elec electron beam electron energy electron pulse emission energy spread equations of motion free electron laser frequency gain harmonic increase initial interaction region laser field length Lett limit linear Madey magnetic field magnetic pump maximum Maxwell's equations medium microwave mode momentum non-linear obtain optical pulse orbit oscillator output parameters particle peak phase space photon Phys ponderomotive potential propagation pump field radiation field regime relativistic resonance saturation scattering shift shown in Fig sideband signal slowly varying space charge spatial spectrum Stanford static stimulated storage ring subluminal superluminal superluminal conditions synchrotron synchrotron radiation theory tion transverse trapped tron variable vector potential velocity velocity shift voltage wave number waveguide wavelength wavenumber wiggler zero