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Coherent multi-mode dynamics in a quantum cascade laser: amplitude- and frequency-modulated optical frequency combs.

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    Summary

    This study models quantum cascade lasers to investigate optical frequency combs (OFCs). Simulations show OFCs form in locked regimes, featuring traveling structures and linear chirp, distinct from chaotic dynamics.

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    Area of Science:

    • Semiconductor physics
    • Quantum optics
    • Laser dynamics

    Background:

    • Quantum cascade lasers (QCLs) are crucial for mid-infrared applications.
    • Optical frequency combs (OFCs) have diverse applications in spectroscopy and metrology.
    • Understanding OFC generation in semiconductor lasers is key for device development.

    Purpose of the Study:

    • To theoretically investigate the spontaneous generation of optical frequency combs in multi-mode mid-infrared quantum cascade lasers.
    • To model the complex dynamics governing OFC formation within a Fabry-Perot resonator.

    Main Methods:

    • Development of a theoretical model based on effective semiconductor Maxwell-Bloch equations.
    • Inclusion of key semiconductor active medium features: asymmetric, frequency-dependent gain and refractive index.
    • Incorporation of resonator features like spatial hole burning and phase-amplitude coupling via the linewidth enhancement factor.

    Main Results:

    • Numerical simulations accurately replicate recent experimental findings on OFC generation.
    • Broad ranges of comb formation observed in locked regimes, interspersed with chaotic dynamics.
    • Identification of self-confined traveling structures and linear chirp behavior in the instantaneous frequency during OFC generation.

    Conclusions:

    • The theoretical model successfully captures the dynamics of OFC generation in QCLs.
    • OFCs in locked regimes exhibit distinct characteristics, including amplitude and frequency modulation.
    • The study provides insights into controlling and optimizing OFC formation in semiconductor lasers.