NDLI: Self-Consistent Kinetic Description of the Free Electron Laser Instability in a Planar Magnetic Wiggler

Content Provider	IEEE Xplore Digital Library
Author	Davidson, Ronald C. Wurtele, Jonathan S.
Copyright Year	1973
Description	The linearized Vlasov-Maxwell equations are used to investigate detailed free electron laser (FEL) stability properties for a tenuous relativistic electron beam propagating in the z direction through the planar wiggler magnetic field B0(x) = -Bw, cos k0zêx. Here, Bw = constant is the wiggler amplitude, and ¿0 = 2¿/k0 = constant is the wiggler wavelength. The theoretical model neglects longitudinal perturbations (¿¿ = 0) and transverse spatial variations (¿/¿x = 0 = ¿/¿y). Moreover, the model is based on the Vlasov-Maxwell equations for the class of self-consistent beam distribution functions of the form fb(Z, p, t) = n¿b¿(px) ¿(Py) G(z, pz, t), where p = ¿mv is the mechanical momentum, and Py is the canonical momentum in the y direction. For low or moderate electron energy, there can be a sizable modulation of beam equilibrium properties by the wiggler field and a concomitant coupling of the kth Fourier component of the wave to the components k ± 2k0, k ± 4k0, ··· in the matrix dispersion equation. In the diagonal approximation, investigations of detailed stability behavior range from the regime of strong instability (monoenergetic electrons) to weak resonant growth (sufficiently large energy spread). In the limit of ultrarelativistic electrons and very low beam density, the kinetic dispersion relation is compared with the dispersion relation obtained from a linear analysis of the conventional Compton-regime FEL equations. Finally, assuming ultrarelativistic electrons and a sufficiently broad spectrum of amplifying waves, the quasi-linear kinetic equations appropriate to the planar wiggler configuration are presented.
Sponsorship	IEEE Nuclear and Plasma Sciences Society
Starting Page	464
Ending Page	479
Page Count	16
File Size	2857097
File Format	PDF
ISSN	00933813
Volume Number	13
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1985-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Kinetic theory Free electron lasers Undulators Equations Electron beams Laser stability Dispersion Laser modes Laser theory Magnetic properties
Content Type	Text
Resource Type	Article
Subject	Nuclear and High Energy Physics Condensed Matter Physics

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