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    Area of Science:

    • Optics
    • Condensed Matter Physics
    • Materials Science

    Background:

    • Quasiperiodicity, a form of spatial order, has been observed in quasicrystalline matter.
    • Quasiperiodic order has not been previously observed in light fields.

    Purpose of the Study:

    • To construct a quasicrystalline surface from a light-emitting diode (LED).
    • To investigate and image the light field at the surface of this quasicrystalline LED.
    • To determine if light fields can exhibit quasiperiodic order.

    Main Methods:

    • Fabrication of a quasicrystalline surface using a light-emitting diode.
    • Direct imaging of the light field using near-field scanning optical microscopy (NSOM).
    • Analysis of images using reciprocal space representations.

    Main Results:

    • The light field emitted from the quasicrystalline surface was directly imaged.
    • Reciprocal space analysis confirmed the quasiperiodic nature of the light field.
    • The light field exhibited 12-fold quasisymmetry, distinct from six-fold periodic symmetry.

    Conclusions:

    • Demonstrated quasiperiodic order in a light field for the first time.
    • Explained the observed quasiperiodic structure through wave superposition.
    • Proposed a new class of light ordering based on projections from hyperspace.