KEYWORDS: Modulation, Free electron lasers, Magnetism, Radon, Electron beams, Information technology, Bessel functions, Laser energy, Motion analysis, Analytical research
In this paper the undulator brightness and central wavelength expressions of a longitudinal wiggler magnetic field are discussed. A relativistic electron beam possessing finite perpendicular momentum introduces several transverse harmonics of motion while travelling through a longitudinally polarized wiggler magnetic field. These harmonics modulate the longitudinal electron velocity and as a consequence the radiation spectrum exhibits several harmonics.
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