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    A new Hilbert transform method enables faster, cheaper measurement of surface plasmon (SP) properties using a modified confocal microscope. This technique achieves signal-to-noise ratios comparable to existing methods for enhanced optical analysis.

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    Area of Science:

    • Optics and Photonics
    • Surface Science
    • Microscopy

    Background:

    • Surface plasmons (SPs) and surface waves possess localized properties crucial for various optical applications.
    • Accurate measurement of these properties is essential for advancing nanotechnology and optoelectronic devices.
    • Existing methods for SP characterization can be time-consuming and expensive.

    Purpose of the Study:

    • To develop a novel, efficient method for measuring the localized properties of surface plasmons (SPs).
    • To introduce a faster and potentially less expensive approach for SP characterization.
    • To demonstrate the capability of a modified confocal microscope for SP analysis.

    Main Methods:

    • Utilized a modified confocal microscope setup.
    • Employed a spatial light modulator to impose phase shifts on incident light.
    • Developed and applied a Hilbert transform method for single-shot wavenumber recovery.

    Main Results:

    • Successfully recovered the wavenumber of surface plasmons using the Hilbert transform method in a single measurement.
    • The developed method demonstrated a faster and more cost-effective alternative to previous techniques.
    • Achieved a signal-to-noise ratio equivalent to the established phase-stepping method.

    Conclusions:

    • The Hilbert transform method provides an efficient and robust approach for characterizing surface plasmon properties.
    • This technique enhances the utility of modified confocal microscopy for localized optical measurements.
    • The findings pave the way for more accessible and rapid analysis in plasmonics research.