Dust charge effects on the resonant instability of the dust-acoustic wave in a semibounded dusty plasma

The basic equations of a wiggler-pumped free-electron laser with an axial-guide magnetic field are given. It is shown that the evolution of this configuration is governed by a controlling parameter which contains the effects of the wiggler, the electron beam, and the guide field. Using the bi-average over the all electrons and the initial phase, the critical value of the controlling parameter is obtained. Further, the evolution property of the radiation field is described.

The linear cold-fluid theory of a free-electron laser is given where the laser field must be in the two-mode operation.The ration between the two modes of laser field is obtained. The dispersion relation is discussed in the Raman-and Compton-regimes and the space-charge wave theory is worked out.

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A freeelectron laser with a rotating quadrupole wiggler Phys. Fluids 28, 2273 (1985); 10.1063/1.865280Wigglerfree free electron waveguide laser in a uniform axial magnetic field: Single particle treatment