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H LINEAR THEORY OF THE FREE
FEL Dispersion Relation
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amplifier approximately axial guide magnetic axial magnetic field beam current beam density beam emittance beam quality beam radius beam-plasma cathode current density diode dispersion relation effects efficiency enhancement elec electromagnetic electron beam Electron Lasers electrostatic accelerator experiments FEL's field-immersed Free-electron lasers frequency function gain growth rate guide magnetic field helical wiggler high current high power high-gain Compton regime IEEE induction linac instability Instrum interaction Lett linear longitudinal wave magnetic wiggler micropulses mode nonlinear Nucl obtained optical field optical guiding oscillator output power parameters particle perturbed phase space phase velocity Phys plasma ponderomotive force ponderomotive wave propagation pulse radiation beam radiation field radiation wavelength relativistic resonance result rf linac sideband simulations small-signal spatial Sprangle storage ring tapered wiggler Thomson scattering tion transverse trapped tron tron beam vector potential voltage wave equation wavelength wavenumber wiggler field wiggler period