Controlling soliton refraction in optical lattices

Stanislav Derevyanko, Jaroslaw E. Prilepsky, Sergey A. Gredeskul

    Research output: Contribution to journalArticlepeer-review


    We show in the framework of the 1D nonlinear Schrödinger equation that the value of the refraction angle of a fundamental soliton beam passing through an optical lattice can be controlled by adjusting either the shape of an individual waveguide or the relative positions of the waveguides. In the case of the shallow refractive index modulation, we develop a general approach for the calculation of the refraction angle change. The shape of a single waveguide crucially affects the refraction direction due to the appearance of a structural form factor in the expression for the density of emitted waves. For a lattice of scatterers, wave-soliton interference inside the lattice leads to the appearance of an additional geometric form factor. As a result, the soliton refraction is more pronounced for the disordered lattices than for the periodic ones.
    Original languageEnglish
    Article number083901
    JournalPhysical Review Letters
    Issue number8
    Publication statusPublished - 17 Aug 2011

    Bibliographical note

    © 2011 American Physical Society


    • 1D nonlinear Schrödinger equation
    • refraction angle
    • optical lattice
    • fundamental soliton beam
    • waveguide
    • soliton refraction


    Dive into the research topics of 'Controlling soliton refraction in optical lattices'. Together they form a unique fingerprint.

    Cite this