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amount of bunching amplitude angular divergence effects angular spectrum approximately assumed attenuation axis beam divergence Bessel function bunched electron bunching parameter calculated cavity Cerenkov angle Cerenkov radiation Chapter coherent radiation component computer simulation coordinate current density distribution electromagnetic wave electron beam direction electron beam energy energy exchange factor free electron laser gas cell Gaussian GOTO harmonic amplitude harmonic current integral interaction plane intrinsic energy dispersion l.5 mrad l/e half-width l7 mrad laser beam length magnet system magnetic field parameters magnetic field system maximum bunching mean electron beam modulating laser mrad optical frequencies optical klystron based optimum magnetic field particle peak phase slippage phase-fronts phase-matching photomultiplier plane wave plot pressure proportional ratio result scattering events second harmonic shown in Fig spontaneous emission stimulated Cerenkov effect TITLE CASE TITLE transverse vector velocity modulation wavelength width