Intense Free Electron Laser Harmonic Generation in A
نویسنده
چکیده
The free electron laser instability is investigated theoretically for a tenuous relativistic electron beam propagating parallel to a longitudinal wiggler field (Bo + 6Bainkoz)%. The stability analysis is based on the linearized Vlasov-Maxwell equations for perturbations about the beam equilibrium f4 = (nb/2w5)6(p_-mV)6(p,-mmV). For (W D/b)(eB/BO) of order unity or larger, it is found that the transverse electron orbits experience a stmng temporal modulation at harmonics ofkov = koVb. In the stability analysis, this orbit modulation is manifest by radiation amplification occurring near the simultaneous zeroes of w = kc and w klb Web = nAeuVb for general harmonic number n, which corresponds to an upshifted (for n > 1) wavenumber I = (I Vb/c)' (web/c + nkoVb/c). For (wbA/OVb)(B/Bo) > 1, the instability is typically broadband with several harmonics cxcited. Moreover, depending on beam and field parameters,'the characteristic maximum growth rate can be substantial with Itnm/cko = ( '/2)[(V2 /4c2)(W 'c2k)J2(L-,6B/koVBa)j'/3. Iermianent Address: PIlarna Fusion Center. NhIssachuscits Insitute of Technulogy, Cambridge. Massachusetts 02139
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