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    Area of Science:

    • Optics and Photonics
    • Computational Science
    • Materials Science

    Background:

    • Optical computing offers potential for real-time, parallel data processing.
    • Metamaterial-based analog computing has shown recent advancements.
    • Rotated configurations can enable complex mathematical operations in optics.

    Purpose of the Study:

    • To theoretically investigate the realization of 2D complex mathematical operations using rotated optical configurations.
    • To explore the use of broken reflection symmetry for realizing even and odd Green's functions.
    • To demonstrate a compact optical differentiator based on these principles.

    Main Methods:

    • Theoretical investigation of rotated optical configurations.
    • Leveraging the Brewster effect for wave-based computation.
    • Breaking reflection symmetry to achieve desired Green's functions.

    Main Results:

    • Demonstrated the realization of a first-order optical differentiator.
    • Showcased an efficient wave-based computation method.
    • Achieved a compact device design compared to lens-based systems.

    Conclusions:

    • The proposed method provides an efficient wave-based approach for optical computing.
    • This technique circumvents potential drawbacks associated with metamaterials.
    • The developed optical differentiator is highly compact, advancing optical signal processing.