Abstract
In the scope of the paraxial theory, propagation of a beam in a narrow curved cavity is studied for the general case of nonmonoenergetic injection and a nonuniform current density distribution over the cross section. It is shown that, in a simpler problem on a beam in crossed fields, which was studied earlier by numerical methods, there are no reasons for asymmetric pulsations of the flow boundaries if the external forces on the rectilinear axis of the beam are compensated. Conditions preventing the formation of focuses and realization of aperiodic modes are formulated. It is noted that the description of the force action on the beam by external fields has different characters in the hydrodynamic and numerical models.
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