相干态光场的位相涨落

根据Pegg-Barnett位相理论,推导出相干态光场的位相概率分布函数,计算出位相涨落,并利用MATHEMATICA对相干态光场的位相函数和位相涨落进行了数值模拟,画出了示意图.结果表明位相函数同时受e指数函数和幂指数函数的制约,从均匀分布到泊松分布到均匀分布,直至呈现零分布;在位相变化的一个周期内,相干态位相分布曲线出现涨落,涨落同时受参考位相和相干系数的影响,随着n值的增加,曲线趋向于高斯分布.

Statistical phase properties and fluctuation of light fields in coherent state

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.