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- W1980129265 abstract "ABSTRACT We consider the kinematic problem of one-dimensional space-charge wave propagation on a thin (surface current) electron beam in an axially uniform lossless structure. A general nonlinear integral equation describing the wave propagation is developed; the kernel of the integral equation is the Green's function for the waveguiding structure. In the small-signal limit, the integral equation becomes linear and homogeneous and yields the linear dispersion relation through the Fourier transform. The general formulation is applied to an annular beam in a perfectly conducting circular waveguide. It is shown that the nonlinear integral equation can be reduced to a nonlinear differential equation through the use of an approximate Green's function. With further approximation, the differential equation yields onoidal wave solutions, including solitary-wave solutions in appropriate limiting cases. Approximate analytical and “exact” numerical results are presented and compared." @default.
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- W1980129265 date "1991-07-01" @default.
- W1980129265 modified "2023-09-27" @default.
- W1980129265 title "Nonlinear Space-Charge Waves on an Annular Beam in a Circular Waveguide" @default.
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- W1980129265 doi "https://doi.org/10.1080/02726349108908285" @default.
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