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Subwavelength spatial solitons.

E Granot, S Sternklar, Y Isbi

    Optics Letters
    |January 12, 2008
    PubMed
    Summary
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    Additional terms in nonlinear Schrödinger equations broaden spatial solitons. A fundamental limitation exists for subwavelength solitons, restricting bright soliton width to half a wavelength and dark soliton width to a quarter.

    Area of Science:

    • Nonlinear Optics
    • Mathematical Physics

    Background:

    • Nonlinear Schrödinger equation (NLSE) models light propagation in nonlinear media.
    • Kerr nonlinearity is crucial for spatial soliton formation.
    • Maxwell's equations provide the foundation for electromagnetic wave behavior.

    Purpose of the Study:

    • To investigate the impact of additional NLSE terms on spatial soliton shapes.
    • To determine the effect of these terms on bright and dark solitons.
    • To establish fundamental limits on subwavelength soliton widths.

    Main Methods:

    • Analytical methods to derive and understand soliton behavior.
    • Numerical simulations to verify analytical predictions.
    • Analysis of Maxwell's equations with Kerr nonlinearity.

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    Main Results:

    • Additional NLSE terms consistently lead to broader solitons.
    • A minimum width ratio is identified for subwavelength bright solitons (FWHM/wavelength ≥ 1/2).
    • A minimum width ratio is identified for subwavelength dark solitons (FWHM/wavelength ≥ 1/4).

    Conclusions:

    • The additional terms in the NLSE influence soliton morphology by increasing their width.
    • Fundamental physical limitations govern the minimum achievable width of subwavelength spatial solitons.