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Demonstration of a Hyperlens-integrated Microscope and Super-resolution Imaging
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Supergrowth and sub-wavelength object imaging.

Tathagata Karmakar, Abhishek Chakraborty, A Nick Vamivakas

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    |November 29, 2023
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    Summary
    This summary is machine-generated.

    We introduce supergrowth, a phenomenon complementary to superoscillation, offering enhanced local amplitude growth. This research provides methods for sub-wavelength imaging, presenting a preferable alternative to superoscillation-based superresolution techniques.

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    Area of Science:

    • Quantum mechanics
    • Wave phenomena
    • Optics and imaging

    Background:

    • Superoscillation allows functions to exceed their highest wavenumber locally.
    • Supergrowth is a complementary phenomenon defined by local amplitude growth rate exceeding the largest wavenumber.
    • Both phenomena have potential applications in super-resolution imaging.

    Purpose of the Study:

    • To further develop the concept of supergrowth.
    • To quantitatively compare supergrowth and superoscillation regions.
    • To propose methods for sub-wavelength object reconstruction using supergrowth and superoscillation.

    Main Methods:

    • Identifying superoscillating and supergrowing regions of a canonical oscillatory function.
    • Calculating maximum local growth rates and wavenumbers.
    • Comparing lengths and intensities of these regions.
    • Developing reconstruction methods using superoscillatory and supergrowing point spread functions.

    Main Results:

    • Supergrowing regions exhibit intensities exponentially larger than superoscillating regions relative to the highest local wavenumber.
    • Quantitative comparisons of lengths and intensities are provided.
    • Methods for sub-wavelength object reconstruction are prescribed.

    Conclusions:

    • Supergrowth offers an experimentally preferable alternative to superoscillation for super-resolution imaging.
    • The findings are relevant for advanced far-field sub-wavelength imaging research.
    • Supergrowth provides enhanced capabilities for local amplitude control in wave phenomena.