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Dispersion-managed solitons at normal average dispersion.

V S Grigoryan, C R Menyuk

    Optics Letters
    |December 18, 2007
    PubMed
    Summary
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    Solitons can exist in dispersion-managed fibers with normal average dispersion above a threshold. Both higher and lower energy solitons are stable within the studied parameter range.

    Area of Science:

    • Optics and Photonics
    • Nonlinear Fiber Optics

    Background:

    • Soliton propagation in optical fibers is crucial for high-speed communications.
    • Dispersion management is a key technique to control pulse spreading.
    • Understanding soliton behavior in normal dispersion regimes is an active research area.

    Purpose of the Study:

    • To investigate the existence and stability of solitons in dispersion-managed fibers with normal average dispersion.
    • To determine the conditions under which multiple soliton solutions can coexist.
    • To analyze the dynamic stability of these soliton solutions.

    Main Methods:

    • Numerical simulations of the nonlinear Schrödinger equation with dispersion management.
    • Analysis of soliton solutions based on pulse energy and dispersion parameters.

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  • Stability analysis of identified soliton solutions.

    • Main Results:

    • Solitons exist in dispersion-managed fibers when the dispersion management strength exceeds a threshold, even with normal average dispersion.
    • Two distinct soliton solutions with the same pulse duration but different energies exist below a limiting normal dispersion value.
    • No solitons exist when the normal average dispersion exceeds this limiting value.
    • Both higher-energy and lower-energy solitons demonstrate dynamic stability within the considered parameter space.

    Conclusions:

    • Dispersion-managed fibers can support stable solitons in the normal average dispersion regime.
    • The existence and number of soliton solutions are critically dependent on the interplay between dispersion management strength and average dispersion.
    • The findings have implications for designing advanced optical fiber systems capable of supporting stable optical solitons.