Quantum Treatment of Amplified Spontaneous Emission in High-Gain Free-Electron Lasers
The existence of a collective instability for an unbunched, monokinetic electron beam and no field excitation leads to an exponential growth of radiation in the free-electron laser (FEL) process. A high-gain FEL has been recently operated at Livermore in this amplified spontaneous emission regime. We have developed a fully quantum treatment which includes the initial stage of this regime so that we can describe the onset of the process, evaluate the effect of fluctuations on the build-up time and the power level of radiation, and give the photon statistics. In a proper limit of our treatment we recover the classical results in which the source of fluctuations is the electron shot-noise.
KeywordsSpontaneous Emission Photon Number Amplify Spontaneous Emission Collective Operator Quantum Treatment
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