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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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    This study introduces a universal method for ultrafast pulse characterization using relative yield measurements and open-source algorithms. It enables rapid, accurate waveform retrieval, making advanced diagnostics accessible for routine use.

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    Area of Science:

    • Ultrafast Science and Spectroscopy
    • Quantum Optics and Photonics
    • Nonlinear Optics and Materials

    Background:

    • Current waveform-resolved characterization methods are limited by setup-specific constraints, hindering routine diagnostics.
    • Lack of standardized, adaptable procedures impedes widespread adoption in ultrafast science.
    • Existing techniques often require complex setups and are not easily integrated into experiments.

    Purpose of the Study:

    • To develop and demonstrate a universal, low-cost, and non-intrusive scheme for ultrashort pulse characterization.
    • To establish a robust framework for routine in-line diagnostics of optical waveforms.
    • To make advanced pulse characterization techniques accessible to the broader ultrafast science community.

    Main Methods:

    • Utilized relative yield measurements across diverse media and nonlinear observables.
    • Employed a suite of open-source reconstruction algorithms: CRIME, twinCRIME, and lazyCRIME.
    • Adapted the framework for non-invasive, simultaneous waveform characterization within attosecond transient absorption spectroscopy (ATAS) experiments.

    Main Results:

    • Achieved robust waveform retrieval with attosecond accuracy using standard computational resources.
    • Demonstrated rapid characterization, completing measurements in minutes.
    • Successfully implemented the scheme in multiple experimental configurations, including ATAS.

    Conclusions:

    • The developed framework offers an easy-to-implement, universal characterization scheme for ultrashort pulses.
    • This approach significantly enhances the adaptability and accessibility of in-line diagnostics.
    • The method provides a cost-effective and non-intrusive solution for routine ultrafast pulse analysis.