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Title

Quantum noise in optical fibers I: stochastic equations

Author(s)

Drummond, P. D.;  Corney, J. F.

Abstract

We analyze the quantum dynamics of radiation propagating in a single-mode optical fibre with dispersion, nonlinearity, and Raman coupling to thermal phonons. We start from a fundamental Hamiltonian that includes the principal known nonlinear effects and quantum-noise sources, including linear gain and loss. Both Markovian and frequency-dependent, non-Markovian reservoirs are treated. This treatment allows quantum Langevin equations, which have a classical form except for additional quantum-noise terms, to be calculated. In practical calculations, it is more useful to transform to Wigner or +P quasi-probability operator representations. These transformations result in stochastic equations that can be analyzed by use of perturbation theory or exact numerical techniques. The results have applications to fibre-optics communications, networking, and sensor technology.

Publication type

Journal article

Source

Journal of the Optical Society of America B: Optical Physics, Vol. 18, no. 2 (2001), pp. 139-152

Publication year

2001

FOR Code(s)

0205 Optical Physics

Keyword(s)

Hamiltonians;  Mathematical operators;  Mathematical transformations;  Nonlinear optics;  Optical fibre coupling;  Perturbation techniques;  Quantum noise;  Quantum optics;  Raman scattering;  Random processes;  Single mode fibres

Publisher

Optical Society of America

ISSN

0740-3224

Publisher URL

http://dx.doi.org/10.1364/JOSAB.18.000139

Copyright

Copyright © 2001 Optical Society of America. This paper was published in the Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/JOSAB.18.000139. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

Full text

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