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Journal of Yanbian University

Statistical phase propertise and fluctuation of light fields in coherent state

Yan Liu

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

Based on the definition of PeggBarnett phase state, the phase probability distribution funtions and the phase fluctuation of coherent state and the error state of minimal measure are calculated. The graph was drawed.

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Physical Review A•Mar 1, 1990•40 citations
This article,according to the Pegg-Barnett phase theory,infers the phase probability distribution function of the coherent condition light field,calculates the phase to fluctuate,and has carried on the value simulation using MATHEMATICA to the coherent condition light field phase function and the phase fluctuation,has drawn the schematic drawing.The result indicates at the same time the phase function is restricted by the e exponential function and the exponent sign function,from evenly distributes to the Poisson's distribution to the even distribution,until presents the zero distribution;In a phase change cycle,the coherent condition phase distribution curve appears the fluctuation,at the same time the fluctuation is referred the phase and the coherent coefficient influence,along with the n value increase,the curve tends to the Gaussian distribution.
The expectation value and variance of a new phase operator introduced recently by Pegg and Barnett [Europhys. Lett. 6, 483 (1988); Phys. Rev. A 39, 1665 (1989)] and by Barnett and Pegg [J. Mod. Opt. 36, 7 (1989)] is calculated for a coherent state. The values for the variance so obtained are compared with the phase-fluctuation measurements of Gerhardt, B\"uchler, and Liftin [Phys. Lett. 49A, 119 (1974)] and Gerhardt, Welling, and Frolich [Appl. Phys. 2, 91 (1973)]. Agreement is found to be good, provided that account is taken of the details of the experimental values.