Abstract
The expression of the space-charge limiting current of a sheet relativistic electron beam propagating in a rippled rectangular waveguide is derived. Using numerical computation, interesting results of the space-charge limiting current are provided. For the same sheet relativistic electron beam, the space-charge limiting current in a rippled rectangular waveguide with an average height of be and a ripple amplitude of h0 is less than that in a smooth-walled rectangular waveguide with a height of be−2h0, and larger than that in a smooth-walled rectangular waveguide of a height of be+2h0, and increases as the ripple period decreases. In addition, the larger the ripple amplitude of the rectangular waveguide is, the more rapidly the space-charge limiting current increases with the decrease in the ripple period. These results should be of interest to the area of propagation of intense sheet relativistic electron beam in a rippled rectangular waveguide for application of generating high-power microwaves.
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