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    This study introduces a new method for complete energy conversion in sum frequency generation using Lewis-Riesenfeld invariants. The technique ensures nearly 100% conversion efficiency robustly across various conditions.

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    Area of Science:

    • Nonlinear Optics
    • Quantum Control

    Background:

    • Sum frequency generation (SFG) is crucial for frequency conversion.
    • Achieving high and robust energy conversion efficiency in SFG remains a challenge.

    Purpose of the Study:

    • To propose an analytical method for complete energy conversion in SFG.
    • To design a robust nonlinear crystal structure for optimal frequency conversion.

    Main Methods:

    • Utilizing Lewis-Riesenfeld invariants theory for complete energy conversion.
    • Establishing a quasi-adiabatic single control parameter model.
    • Employing inverse engineering with optimal control theory for crystal design.

    Main Results:

    • Achieved nearly 100% energy conversion efficiency, robust against perturbations.
    • Demonstrated frequency conversion in the 2.6 µm-3.6 µm wavelength range.
    • Obtained a spectral bandwidth exceeding 50% (approx. 400 nm) at 1 mm crystal length.

    Conclusions:

    • The proposed method enables highly efficient and robust sum frequency generation.
    • The designed nonlinear crystal structure offers significant advantages for practical applications.
    • This approach advances the field of nonlinear frequency conversion with high precision.