Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons
نویسندگان
چکیده
منابع مشابه
Parametric Resonance and Radiative Decay of Dispersion-Managed Solitons
We study propagation of dispersion-managed solitons in optical fibers which are modeled by the nonlinear Schrödinger equation with a periodic dispersion coefficient. When the dispersion variations are weak compared to the average dispersion, we develop perturbation series expansions and construct asymptotic solutions at the first and second orders of approximation. Due to a parametric resonance...
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We show that any L solution of the Gabitov-Turitsyn equation describing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov’s conjecture of exponential decay of dispersion managed solitons.
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It describes the amplitude of a signal transmitted via amplitude modulation of a carrier wave through a fiber-optical cable where the dispersion is varied periodically along the fiber, see, e.g., [3, 27, 29]. In (1.1) t corresponds to the distance along the fiber, x denotes the (retarded) time, and d(t) is the dispersion along the waveguide, which, for practical purposes, one can assume to be p...
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We find that in a dispersion-managed fiber, in which the strength of the dispersion management is above some threshold, solitons can exist with normal average dispersion. When the normal average dispersion is below some limiting value there exist two soliton solutions with the same pulse duration and different pulse energies. When the normal average dispersion is above this limiting value, no s...
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Qudsia Quraishi,* Steven T. Cundiff, Boaz Ilan, and Mark J. Ablowitz Department of Physics, University of Colorado, National Institute of Standards and Technology, and JILA, Boulder, Colorado 80309-0440, USA JILA, National Institute of Standards and Technology, and the University of Colorado, Boulder, Colorado 80309-0440, USA Department of Applied Mathematics, University of Colorado, Boulder, C...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2004
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139903422358