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Three-dimensional analysis of an FEL amplifier operating with a continuous e beam

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4 Author(s)
Dattoli, G. ; Dipartimento Sviluppo Technol. di Punta, ENEA, Rome, Italy ; Fang, H. ; Torre, A. ; Caloi, R.

The authors discuss a three-dimensional theory of an FEL operating with a continuous e beam. The theory is based on a generalized method of solution of the FEL Helmholtz equation in the high-gain small-signal regime. The method consists basically of expanding the optical field in terms of Hermite-Gaussian modes, taken at the entrance to the undulator. The coefficients of that expansion are expressed in the form of a superposition of plane waves with complex frequencies. As a result, one gets a set of recursive relations, partly reproducing those obtained within the context of the single-mode evolution and partly displaying the effect (revealed by a coupling among the modes) of both the diffraction and the interaction with the e-beam

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Quantum Electronics, IEEE Journal of  (Volume:28 ,  Issue: 4 )