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The Instability of an Annular Electron Beam Propagating along a Guided Magnetic Field

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2 Author(s)
Chen, H.C. ; Naval Surface Weapons Center, White Oak, Silver Spring, Maryland 20910 ; Uhm, H.S.

The instabilities of an infinitely long and azimuthally symmetric annular electron beam propagating along an external applied magnetic field are investigated using the fluid-Maxwell theory. Unlike the treatment in the conventional diocotron instability, full electromagnetic perturbations have been emphasized and no approximation has been made such as k¿~ 0 and ¿ ~ckß in the macroscopic cold fluid description. There have been found two distinct and different instabilities depending on the value of doppler-shifted eigenfrequency ¿-ckß. The diocotron instability dominates in the low frequency region while cyclotron resonance perturbation plays a major role in the high frequency domain. In the case of a sharp boundary density profile, the growth rates versus different wavenumber k are shown for both instabilities in the beam parameters of out interest.

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Nuclear Science, IEEE Transactions on  (Volume:30 ,  Issue: 4 )