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

Journal Article · Thu Dec 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.063820· OSTI ID:22095709

Vanvincq, O.; Travers, J. C.; Kudlinski, A. ^[1]

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1. Femtosecond Optics Group, Physics Department, Imperial College London, Prince Consort Road, London SW7 2AZ (United Kingdom)

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.

• OSTI ID: 22095709
• Journal Information: Physical Review. A, Vol. 84, Issue 6; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTENUATION
CHERENKOV RADIATION
COMPUTERIZED SIMULATION
NONLINEAR PROBLEMS
OPTICAL FIBERS
PHOTON EMISSION
PHOTONS
RAMAN EFFECT
SCHROEDINGER EQUATION
SOLITONS