It is shown that the radiation field emitted by the electrons in the superradiant regime of a free electron laser is described by a hyperbolic secant pulse, which is the approximate solution of a set of self-similar equations. These describe the propagation of a solitary wave within the electron pulse.
A hyperbolic secant solution for the superradiance in free electron lasers / N. Piovella. - In: OPTICS COMMUNICATIONS. - ISSN 0030-4018. - 83:1-2(1991), pp. 92-96.
A hyperbolic secant solution for the superradiance in free electron lasers
N. Piovella
1991
Abstract
It is shown that the radiation field emitted by the electrons in the superradiant regime of a free electron laser is described by a hyperbolic secant pulse, which is the approximate solution of a set of self-similar equations. These describe the propagation of a solitary wave within the electron pulse.
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