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Maxwells Equations and Wave Equations
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a.c. velocity amplifier amplitude annular beam approximation assumed backward-wave beam current beam filling behaviour Bessel functions boundary conditions Brillouin bunch calculated Carcinotron cathode cavity Chapter circuit equation components consider coupling impedance current density cylindrical derived device diameter discussed Doehler drift tube efficiency electric field electron beam electron velocity energy expression fills the tunnel frequency gain given gives grids group velocity helix increase infinite initial input integral interaction klystron magnetic field matrix maximum Maxwell's equations modes negative noise noise figure notation obtain oscillation output parameter phase constant phase velocity Phys Pierce plane plot potential power flow problem Proc propagation constants r.f. current radial radius reduced reduction factor region resonator shown in Fig shows slow-wave solution space space-charge waves space-harmonic theory Thermionic Valves travelling-wave values valves variation vector velocity modulation voltage Warnecke waveguide wavelength zero