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    We developed a simple planar optical differentiator using grooves on a slab waveguide. This device performs spatial and temporal differentiation of optical signals, useful for analog computing.

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    Area of Science:

    • Photonics
    • Optical Engineering
    • Waveguide Optics

    Background:

    • Optical differentiation is crucial for signal processing.
    • Existing methods may lack efficiency or simplicity.

    Purpose of the Study:

    • To propose a novel, simple planar optical differentiator.
    • To demonstrate its capability for spatial and temporal optical differentiation.

    Main Methods:

    • Design of a planar optical differentiator with two grooves on a slab waveguide.
    • Numerical simulations to analyze device performance in reflection mode.
    • Investigation of eigenmode excitation for differentiation.

    Main Results:

    • High-quality spatial differentiation demonstrated.
    • High-quality temporal differentiation achieved.
    • Successful spatiotemporal differentiation shown via simulations.

    Conclusions:

    • The proposed device offers a simple yet effective solution for optical differentiation.
    • Potential applications in ultrafast analog computing and optical signal processing.
    • The design leverages eigenmode localization for differentiation.