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Self-similar evolution in nonlocal nonlinear media.

T P Horikis, D J Frantzeskakis, N Antar

    Optics Letters
    |August 2, 2019
    PubMed
    Summary
    This summary is machine-generated.

    Nonlocal nonlinear optical media focus optical beams, causing them to narrow and increase in amplitude. A general initial beam shape evolves to a common parabolic form in these materials.

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    Area of Science:

    • Nonlinear optics
    • Beam propagation physics

    Background:

    • Optical beam propagation in nonlinear media is crucial for applications like optical switching and data storage.
    • Understanding nonlocal effects is essential as they differ significantly from local nonlinearities.

    Purpose of the Study:

    • To investigate the self-similar propagation of optical beams in nonlocal nonlinear media with linear gain.
    • To analyze the focusing effect and shape evolution of beams in these media.

    Main Methods:

    • Utilized a generic system of coupled equations.
    • Employed both numerical simulations and analytical techniques.
    • Studied beam propagation in media like nematic liquid crystals and optical thermal media.

    Main Results:

    • The nonlocal response exhibits a focusing effect, concentrating beam power at the center.
    • Beams narrow in width and increase in amplitude faster than in local media.
    • The resulting beam shape is parabolic, and general initial beams evolve to a common shape.

    Conclusions:

    • Nonlocal nonlinear media possess inherent focusing properties for optical beams.
    • Beam propagation in these media leads to predictable self-similar parabolic shapes.
    • The findings are applicable to various physical systems exhibiting nonlocal nonlinearities.