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Springer eBooks

Quantum Statistical Properties of Radiation in a Free-Electron Laser

Wilhelm Becker, Marlan O. Scully, Muhammad Suhail Zubairy

Published Jan 1, 1984• 2 citations
Publisher
DOI
10.1007/978-1-4757-0605-5_117

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We discuss the problem of photon quantum statistics of a single particle free-electron laser (FEL) amplifier in the small-signal cold beam regime to first order in the electron quantum recoil. The initial radiation wave is an arbitrary coherent state. We show that Glauber coherence is not preserved by the FEL interaction if the initial coherent state is not the vacuum, even if we neglect the electron quantum recoil (absence of gain). We evaluate the first two moments of the final photon distribution and find sub- (super)-Poissonian photon statistics for a negative (positive) resonance parameter.
We discuss the problem of photon quantum statistics of a single particle Free Electron Laser (FEL) amplifier in the small-signal cold beam regime to first order in the electron quantum recoil. The initial radiation wave is an arbitrary coherent state. We show that Glauber coherence is not preserved by the FEL interaction if the initial coherent state is not the vacuum even if we neglect the electron quantum recoil (absence of gain). We evaluate the first two moments of the final photon distribution and find sub (super)-poissonian photo statistics for negative (positive) resonance parameter.
The coherence of free-electron laser (FEL) radiation has so far been accessed mainly through first and second order correlation functions. Instead, we propose to reconstruct the energy state occupation number distribution of FEL radiation, avoiding the photo-counting drawbacks with high intensities, by means of maximum likelihood techniques based on the statistics of no-click events. Though the ultimate goal regards the FEL radiation statistical features, the interest of the proposal also resides in its applicability to any process of harmonic generation from a coherent light pulse, ushering in the study of the preservation of quantum features in general non-linear optical processes.