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    Area of Science:

    • Photonics
    • Laser Physics
    • Materials Science

    Background:

    • Random lasers offer tunable light sources.
    • Mie resonances can influence light scattering and amplification.
    • Previous models often simplify gain and scattering properties.

    Purpose of the Study:

    • To numerically investigate the tunability of diffusive random lasers with excited Mie resonances.
    • To quantify the impact of Mie resonances on lasing wavelength tunability and threshold.
    • To explore a realistic photonic glass system with optical gain.

    Main Methods:

    • Solving a multimode diffusion model.
    • Calculating multiple light scattering with optical gain, including dispersion.
    • Analyzing a photonic glass of latex spheres and rhodamine.

    Main Results:

    • Mie resonances significantly affect random laser tunability.
    • The highest lasing threshold is observed during strong mode competition.
    • This finding differs from predictions of simpler monochromatic models.

    Conclusions:

    • Mie resonances provide a mechanism for tuning random laser output.
    • Understanding mode competition is crucial for optimizing random laser performance.
    • The developed model accurately captures complex light-matter interactions in disordered gain media.