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On the Similarity of the Statistical Characteristics of Spontaneous Radiation of a Quantum Amplifier at Different Gain Factors

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Journal of Russian Laser Research Aims and scope

Abstract

The transformation laws governing the statistical properties of the quantum noise of an optical amplifier when its gain factor and spectral line profile are varied are considered. The correlation functions of quantum noise both at the amplifier output and after nonlinear transformation normalized to the correlation time of quantum noise at the amplifier output were found to be independent of the amplifier gain provided that it exceeds 10 for the Gaussian spectral line profile and 103 for the Lorentzian profile. The spectral density of quantum noise transformed in a nonlinear system was shown to possess the same similarity property. It was found that the statistical characteristics possess a similarity property even in the case of variation of the spectral line profile from Gaussian to Lorentzian. It was concluded that such a characteristic of quantum noise of an optical amplifier as the correlation time bears virtually all information on the above-mentioned statistical properties at a reasonably large amplifier gain. The similarity property revealed has an important application. It allows finding the matching condition between the optical signal spectrum and the gain profile of the optical quantum amplifier to achieve the highest sensitivity of signal detection by the amplifier.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Pr. 53, Moscow, 119991, Russia

    E. P. Orlov & I. M. Sizova

Authors
  1. E. P. Orlov
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  2. I. M. Sizova
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Orlov, E.P., Sizova, I.M. On the Similarity of the Statistical Characteristics of Spontaneous Radiation of a Quantum Amplifier at Different Gain Factors. Journal of Russian Laser Research 23, 299–331 (2002). https://doi.org/10.1023/A:1016329509944

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