Conservation of the photon number in the generalized nonlinear Schroedinger equation in axially varying optical fibers

We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an a...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-12, Vol.84 (6)
Main Authors: Vanvincq, O., Travers, J. C., Kudlinski, A., Universite Lille 1, Laboratoire PhLAM, IRCICA, F-59655 Villeneuve d'Ascq
Format: Article
Language:English
Subjects:
ATTENUATION
CHERENKOV RADIATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPUTERIZED SIMULATION
NONLINEAR PROBLEMS
OPTICAL FIBERS
PHOTON EMISSION
PHOTONS
RAMAN EFFECT
SCHROEDINGER EQUATION
SOLITONS
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Summary:We reexamine the derivation of the generalized nonlinear Schroedinger equation in the case of nonaxially uniform optical fibers, taking into account the longitudinal and spectral evolutions of all pertinent linear parameters. Our theory leads to an improved form of this equation that highlights an additional term, which ensures the conservation of the total photon number in nonuniform optical fibers in the absence of attenuation. Numerical simulations confirm the validity of this theory in the context of a Raman-induced soliton self-frequency shift, emission of Cherenkov radiation, and a soliton blue shift.
ISSN:1050-2947
1094-1622
DOI:10.1103/PHYSREVA.84.063820