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CORRECTION TO SPACECHARGE PHASE CONSTANTS
APPENDIX A TRANSITTIME CORRECTION FACTOR
2 other sections not shown
a/b ratio amplitude arbitrary constants Bessel functions boundary conditions bunching process charge reduction factor continuity equation Cornell University cosine coswt current density current harmonics displaced current displacement drift space drive terms electric field electron beam Elmira Equation 13 Equation 27 Equation 31 Equation 64 Equations 49 Figure final velocity finite beam form of Equation fundamental gap-coupling coefficient HARMONIC ANALYSIS harmonic solution higher harmonics infinite series initial conditions interaction impedance interaction region klystron longitudinal lower harmonics maximum Maxwell's equation method of successive nonlinear nth harmonic null obtained perturbation phase velocity plasma frequency plasma phase constant polarization ql qZ q3 qm qn qn qm Section sinp sinwt solved space-charge harmonic space-charge reduction factor space-charge wave harmonic Substituting Equation successive approximations thesis thin beam third harmonic transit time correction TRANSIT-TIME undamped oscillator equation Velocity Harmonics versus velocity modulation voltage written wt-p