Bistable Behavior of a Relativistic Electron Beam in a Magnetic Structure (Wiggler)
In this paper we demonstrate the possibility of a new physical effect: a continuous relativistic electron beam is injected in a resonant ring cavity,where it interacts with the field of an undulator magnet and a monochromatic plane wave whose frequency is resonant or quasi resonant with that of the cavity. With a proper iterative system we solve simultaneously the propagation equation coupled with the boundary conditions of the ring cavity. We calculate the intensity of the transmitted light IT, as a function of the intensity of the incident light Iin and we show that under proper conditions there is a bistable behavior, ie: IT, is a double valued discontinuous function of Iin.
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