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Physical Review A

Photon antibunching in a free-electron laser

C. T. Lee

Published Feb 1, 1985• 63 citations
Publisher

Abstract

A perturbative solution to the difference-differential equation describing the time evolution of a free-electron laser based on the Bambini-Renieri Hamiltonian is obtained. This solution indicates that the photon number distribution is always sub-Poissonian as long as the perturbation approximation is valid. This photon antibunching becomes much more prominent as more photons are emitted; so it can enhance the coherent properties of the free-electron-laser radiation in a way that is very welcome.

DOI
10.1103/physreva.31.1213

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A perturbative solution to the difference-differential equation describing the time evolution of a free-electron laser based on the Bambini-Renieri Hamiltonian is obtained. This solution indicates that the photon number distribution is always sub-Poissonian as long as the perturbation approximation is valid. This photon antibunching becomes much more prominent as more photons are emitted; so it can enhance the coherent properties of the free-electron-laser radiation in a way that is very welcome.
A great deal of effort has been devoted during the last decade to the theory of nonclassical states of the radiation field. From a practical point of view some of the most interesting predictions of these theories concern the generation of light with sub-Poissonian photon counting statistics for which Such light is evidently less noisy than laser radiation with obvious implications for the improved performance of optical systems. When the temporal autocorrelation function of the photon counts increases as the delay time increases from zero the light is also said to be antibunched.