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Elementary Electromagnetic Phenomena
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acceleration amplifier amplitude assumed average azimuthal beam-wave interaction Bessel function boundary conditions bunch calculate cavity Cerenkov Chap charge consider current density defined determined dielectric dielectric coefficient discussed dispersion relation distribution dynamics effect efficiency electric field electromagnetic field electromagnetic wave emitted energy conservation energy spread equation of motion explicit expression formulated free electron laser frequency gain geometry given gradient Green's function groove group velocity gyrotron harmonics illustrated in Fig indicates injected input integral interaction impedance interaction region kinetic energy klystron limiting current linear longitudinal electric field macro-particle magnetic field magnetic vector potential maximum mode momentum normalized operation oscillator output parameters particle periodic structure phase velocity plasma Poynting's theorem present propagates pulse radiation field radius reads reflections regime relativistic represents resonance result Sect simplified solution space space-charge waves spatial substitute term theorem transmission coefficient transverse traveling-wave vacuum variation voltage wave equation waveguide wavenumber wiggler zero