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Upsampling01:22

Upsampling

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Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
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    We present a straightforward method for spontaneous parametric down-conversion (SPDC) using nonlinear metasurfaces. This technique leverages band crossings in quasi-guided modes to enhance SPDC efficiency, confirmed via second-harmonic generation (SHG) modeling.

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    Area of Science:

    • Nonlinear optics
    • Metasurfaces
    • Photonics

    Background:

    • Spontaneous parametric down-conversion (SPDC) is a key quantum light source.
    • Enhancing SPDC efficiency in compact structures remains a challenge.

    Purpose of the Study:

    • To propose a simple scheme for efficient degenerate SPDC.
    • To utilize nonlinear metasurfaces and quasi-guided modes for enhanced light conversion.

    Main Methods:

    • Employing a band crossing between even- and odd-parity quasi-guided modes.
    • Utilizing a selection rule in SPDC conversion efficiency.
    • Evaluating efficiency classically via noncollinear second-harmonic generation (SHG).
    • Modeling SPDC and SHG in a monolayer of noncentrosymmetric spheres.

    Main Results:

    • Demonstrated a viable scheme for SPDC in nonlinear metasurfaces.
    • Confirmed enhancement of SPDC efficiency through the proposed method.
    • The toy model validates the effectiveness of the approach.

    Conclusions:

    • The proposed scheme offers a simple and effective route to enhance SPDC.
    • Nonlinear metasurfaces with quasi-guided modes are promising for quantum light generation.
    • Classical evaluation via SHG provides a reliable method for predicting SPDC performance.