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- Quantum noise in optical fibers I: stochastic equations
- Drummond, P. D.; Corney, J. F.
- 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
- Journal of the Optical Society of America B: Optical Physics, Vol. 18, no. 2 (2001), pp. 139-152
- Publication year
- FOR Code(s)
- 0205 Optical Physics
- Hamiltonians; Mathematical operators; Mathematical transformations; Nonlinear optics; Optical fibre coupling; Perturbation techniques; Quantum noise; Quantum optics; Raman scattering; Random processes; Single mode fibres
- Optical Society of America
- Publisher URL
- 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.
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