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    Two novel superresolution techniques achieve high-resolution spectral and temporal measurements using a single signal replication. These methods significantly enhance measurement precision for spectral lines and ultrafast optical pulses.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing

    Background:

    • Superresolution techniques typically require multiple measurements, increasing complexity.
    • Periodic modulation offers high resolution but demands numerous harmonic measurements.

    Purpose of the Study:

    • To propose and numerically demonstrate two novel superresolution techniques for spectral and temporal measurements.
    • To achieve high resolution with a single measurement by replicating the signal.

    Main Methods:

    • Spectral superresolution: Signal replication and modulation for sampling and compression in the Fourier domain.
    • Temporal superresolution: Shifting parts of the signal's Fourier transform from replicas into the system passband.

    Main Results:

    • Demonstrated measurement of 1 MHz spectral lines with 60 kHz resolution (10,000x magnification) using an optical spectrum analyzer.
    • Demonstrated measurement of 1.7 ps optical pulses with 44 fs resolution (160x magnification) using a real-time oscilloscope.
    • The second method is effective for measuring very long single-shot ultrafast temporal waveforms.

    Conclusions:

    • The proposed techniques enable high-resolution spectral and temporal measurements with significantly reduced measurement requirements.
    • These methods offer substantial spectral magnification and temporal resolution enhancement.