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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 18, Iss. 2 — Feb. 1, 2001
  • pp: 139–152

Quantum noise in optical fibers. I. Stochastic equations

P. D. Drummond and J. F. Corney  »View Author Affiliations

JOSA B, Vol. 18, Issue 2, pp. 139-152 (2001)

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We analyze the quantum dynamics of radiation propagating in a single-mode optical fiber 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 fiber-optics communications, networking, and sensor technology.

© 2001 Optical Society of America

OCIS Codes
(060.2400) Fiber optics and optical communications : Fiber properties
(060.4510) Fiber optics and optical communications : Optical communications
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5650) Nonlinear optics : Raman effect
(270.3430) Quantum optics : Laser theory
(270.5530) Quantum optics : Pulse propagation and temporal solitons

P. D. Drummond and J. F. Corney, "Quantum noise in optical fibers. I. Stochastic equations," J. Opt. Soc. Am. B 18, 139-152 (2001)

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