Excitation of electromagnetic modes in a dielectric-loaded waveguide via cyclotron resonance interaction
An analytical treatment of the excitation of electromagnetic modes by an axial electron beam in a cylindrical waveguide partially loaded with a dielectric is presented. Equations describing the mode structure of the waves are obtained in cylindrical geometry. Using appropriate boundary conditions a dispersion relation is derived in the weak-beam approximation (..omega../sub B/ << ..omega..). In addition to the conventional Cerenkov interaction, the slow-cyclotron resonance interaction (..omega.. approx. = ..beta..V/sub 0/ - ..omega../sub C/), which involves the coupling of the TM mode of the waveguide with the slow cyclotron beam mode, is also seen to be important. The growth rate of the instability scales as eta/sub 0//sup 1/2/ (where eta/sub 0/ is the beam density), decreases with and increase in V/sub 0/, and is rather insensitive to the variation in the magnetic field.
- Research Organization:
- Department of Physics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110 016
- OSTI ID:
- 6071713
- Journal Information:
- IEEE Trans. Plasma Sci.; (United States), Vol. PS-14:1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
DIELECTRIC MATERIALS
WAVE PROPAGATION
ELECTROMAGNETIC RADIATION
EXCITATION
BOUNDARY CONDITIONS
DISPERSION RELATIONS
ELECTRON BEAMS
ELECTRON CYCLOTRON-RESONANCE
EQUATIONS
INSTABILITY
MAGNETIC FIELDS
WAVEGUIDES
BEAMS
CYCLOTRON RESONANCE
ENERGY-LEVEL TRANSITIONS
LEPTON BEAMS
MATERIALS
PARTICLE BEAMS
RADIATIONS
RESONANCE
360603* - Materials- Properties