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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Omnidirectional diffraction control with rotational topological defects.

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    We introduce disclinations into transformation optics to manage light diffraction. This method creates topological defects, enabling control over light beam spreading in any direction.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Theoretical Physics

    Background:

    • Transformation optics enables control over light propagation.
    • Managing light diffraction is crucial for optical device design.
    • Incompatible transformations present challenges in optical control.

    Purpose of the Study:

    • To develop a new scheme for directional diffraction management of light.
    • To explore the use of disclinations within transformation optics.
    • To investigate the impact of rotational incompatible mappings on light diffraction.

    Main Methods:

    • Introducing disclinations into transformation optics framework.
    • Analyzing coordinate transformations and their integrability conditions.
    • Investigating the Frank vector and topological defects.
    • Performing numerical simulations of light scattering from disclination media.

    Main Results:

    • Rotational incompatible mappings violate integrability conditions.
    • Non-vanishing Frank vector arises from these mappings.
    • Rotational topological defects are produced in physical space.
    • Diffraction of light beams is magnified or compressed.
    • Numerical simulations verify theoretical predictions.

    Conclusions:

    • Disclinations offer a novel approach to diffraction management.
    • Topological defects induced by incompatible transformations control light diffraction.
    • This scheme allows for directional control of light beam spreading.
    • The findings have implications for advanced optical materials and devices.