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Optical Bloch oscillations in waveguide arrays.

U Peschel, T Pertsch, F Lederer

    Optics Letters
    |December 20, 2007
    PubMed
    Summary
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    Optical Bloch oscillations emerge in waveguide arrays with linearly varying propagation constants. Localized modes, known as Wannier-Stark states, are proven to exist without diffraction, forming a Wannier-Stark ladder.

    Area of Science:

    • Photonics
    • Quantum Optics
    • Condensed Matter Physics

    Background:

    • Waveguide arrays are crucial for controlling light propagation.
    • Optical Bloch oscillations are a phenomenon analogous to Bloch oscillations in electronic systems.
    • Diffraction typically limits the localization of light in such arrays.

    Purpose of the Study:

    • To demonstrate the emergence of optical Bloch oscillations in waveguide arrays.
    • To analytically prove the existence of localized modes (Wannier-Stark states) and their ladder structure.
    • To describe the dynamics of light propagation and suggest potential applications.

    Main Methods:

    • Theoretical analysis of optical Bloch oscillations in waveguide arrays.
    • Analytical proof for the existence of Wannier-Stark states and their equidistant wave-number spacing.

    Related Experiment Videos

  • Modeling the evolution of arbitrary initial light excitations.
  • Main Results:

    • Optical Bloch oscillations are shown to emerge in waveguide arrays with linearly varying propagation constants.
    • Localized modes, termed Wannier-Stark states, are analytically proven to exist.
    • These localized modes exhibit equidistant wave-number spacing, forming a Wannier-Stark ladder, and do not diffract.

    Conclusions:

    • The study confirms the theoretical possibility of optical Bloch oscillations and non-diffracting localized modes in engineered waveguide arrays.
    • The identified Wannier-Stark ladder offers a novel mechanism for light localization and control.
    • The findings pave the way for potential applications in optical signal processing and quantum information technologies.