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    Area of Science:

    • Optics and Photonics
    • Nonlinear Optics
    • Ultrafast Laser Science

    Background:

    • Frequency-resolved optical gating (FROG) is a key technique for characterizing ultrashort laser pulses.
    • Standard FROG algorithms struggle with pulse distortions caused by group delay dispersion and non-uniform phase-matching in nonlinear crystals.
    • Accurate measurement of highly stretched or complex optical pulses is crucial for advanced applications.

    Purpose of the Study:

    • To generalize the FROG phase retrieval algorithm for accurate pulse characterization in the presence of significant pulse distortion.
    • To demonstrate the algorithm's capability in handling distortions from nonlinear crystals, specifically group delay dispersion and non-uniform phase-matching.
    • To provide a robust method for measuring weak, few-cycle pulses generated via supercontinuum generation.

    Main Methods:

    • Development of a generalized phase retrieval algorithm for FROG.
    • Experimental implementation using a 15 mm thick aperiodically poled lithium niobate crystal within the FROG setup.
    • Reconstruction of severely distorted and temporally stretched optical pulses.

    Main Results:

    • Successfully reconstructed chirped signal pulses that were stretched by over 5 times their original duration within the nonlinear crystal.
    • The generalized FROG algorithm effectively compensated for distortions introduced by the nonlinear medium.
    • Validated the algorithm's performance in a proof-of-concept experiment.

    Conclusions:

    • The generalized FROG algorithm offers a powerful solution for measuring distorted ultrashort optical pulses.
    • This advancement is particularly beneficial for characterizing weak few-cycle pulses from supercontinuum sources.
    • The method opens new possibilities for precise optical pulse metrology in complex nonlinear systems.