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Opt Express. 2011 Aug 29;19(18):17086-91. doi: 10.1364/OE.19.017086.

Complex Gaussian representation of statistical pulses.

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  • 1Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada. serpo@dal.ca


We develop a general representation for ensembles of non-stationary random pulses in terms of statistically uncorrelated, time-delayed, frequency-shifted Gaussian pulses which are classical counterparts of coherent states of a quantum harmonic oscillator. We show that the two-time correlation function describing second-order statistics of the pulses can be expanded in terms of the complex Gaussian pulses. We also demonstrate how the novel formalism can be applied to describe recently introduced Gaussian Schell-model pulses and pulse trains generated by typical mode-locked lasers.

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