Analytical treatment of free-electron laser in the long-pulse limit
- 1 May 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 35 (10) , 4175-4180
- https://doi.org/10.1103/physreva.35.4175
Abstract
We discuss a method to obtain analytical solutions of the evolution equation of the optical signal in long-pulse free-electron-laser oscillators in the low-gain and small-signal regime. Supermodes are identified with the eigenstates, harmonic-oscillator orthonormal functions, of a non-Hermitian Hamiltonian. Inhomogeneous broadening effects due to energy spread and emittance are included. The space-time characteristics of the laser field are obtained with a significant reduction in the computer time.Keywords
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