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| Paper IPM / P / 6821 |
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| Abstract: | |||||
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A linear theory for the parametric instability of a free-electron
laser with a longitudinal electrostatic wiggler is presented. A
space-charge wave and a predominantly transverse magnetic wave
guide mode are excited when a relativistic electron beam is passed
through a static spatially periodic longitudinal electric wiggler.
The thick annular electron beam is contained in a cylindrical
metal wave guide and an axial magnetic field of arbitrary
magnitude. An expression for the wave-field components is derived
and solved numerically along with the dispersion relations for the
eigenmodes of a wave guide containing a magnetized annular
electron beam. Effects of the variation of the beam radii, the
axial magnetic field, and electron beam kinetic energy on the
growth rate, efficiency, radiation wavelength, and the required
pump wavelength are studied. A suitable range of parameters for
the generation of millimeter wave is indicated.
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