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CLASSICALLY STIMULATED RADIATION
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amplification assumed Bessel functions bremsstrahlung calculation circularly polarized magnet classical power classical radiation Compton scattering corrections describe Dirac equation distribution electron beam electron energy electron trajectories electron wavefunctions emission and absorption emission line emitted energy 6-function evolution equation exponential gain factor Figure final electron final photon fractional free electron laser frequency fundamental line gain equation gain mechanism gives harmonics helical magnet initial electron integral ke(t lab frame laser cavity laser evolution line-shape linearly polarized magnet Lorentz force low gain magnet polarization magnet wavelength magnetic field strength maximum gain modulation momenta motion number of electrons number of photons off-resonance on-axis p(ae pass periodic magnetic field perturbation phase space photon number polarization vector pulse quantum field theory quantum mechanical radiation cone radiation field radiation wavelength rate equations relativistic electrons resonance condition resonant cavity solve spin spontaneous emission stimulated Compton scattering stimulated emission wavefunctions wavenumber wavepacket xNir)/x