We calculate the exact solution of the propagation equations describing a quantum free electron laser. The solution is obtained by evaluating the residue in the essential singularities of the Fourier-Laplace transformed optical field, and is expressed as a complete series of special functions. The classical and quantum limits of the solution are discussed and an asymptotic form, valid in the high-gain regime, is obtained.
Pulse propagation solution for a quantum free electron laser / L. Volpe, N. Piovella. - In: LASER PHYSICS. - ISSN 1054-660X. - 17:6(2007), pp. 807-813.
Pulse propagation solution for a quantum free electron laser
L. VolpePrimo
;N. PiovellaUltimo
2007
Abstract
We calculate the exact solution of the propagation equations describing a quantum free electron laser. The solution is obtained by evaluating the residue in the essential singularities of the Fourier-Laplace transformed optical field, and is expressed as a complete series of special functions. The classical and quantum limits of the solution are discussed and an asymptotic form, valid in the high-gain regime, is obtained.
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