Three-dimensional analysis of harmonic generation in self-amplified spontaneous emission.
In a high-gain free-electron laser, strong bunching at the fundamental wavelength can drive substantial harmonic bunching and sizable power levels at the harmonic frequencies. In this paper, we investigate the three-dimensional evolution of the harmonic fields based on the coupled Maxwell-Vlasov equations that take into account the nonlinear harmonic interaction. Each harmonic field is the sum of a self-amplified term and a term driven by the nonlinear harmonic interaction. In the exponential gain regime, the growth rate of the dominant nonlinear term is much faster than that of the self-amplified harmonic field. As a result, the gain length and the transverse profile of the first few harmonics are completely determined by those of the fundamental. A percentage of the fundamental power level is found at the third harmonic frequency right before saturation for the current self-amplified spontaneous emission projects.
- Research Organization:
- Argonne National Lab., IL (US)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 11814
- Report Number(s):
- ANL/ASD/CP-99050; TRN: US0102139
- Resource Relation:
- Conference: 21st International Free Electron Laser Conference, Hamburg (DE), 08/23/1999--08/28/1999; Other Information: PBD: 1 Sep 1999
- Country of Publication:
- United States
- Language:
- English
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