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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Semiconductor Physics

    Background:

    • Sub-diffraction hyperbolic metamaterial resonators are key for advanced light-matter interactions.
    • Their optical properties depend on metamaterial permittivity and resonator geometry.
    • Efficient design is crucial for integrating these resonators into semiconductor devices.

    Purpose of the Study:

    • To develop an optical model for calculating photon loss in hyperbolic metamaterial resonators.
    • To demonstrate the model's effectiveness in predicting and engineering resonator performance.
    • To guide the design of resonators for enhanced radiative properties in semiconductor applications.

    Main Methods:

    • Developed an optical model using the modified long wavelength approximation.
    • Calculated radiative and non-radiative photon loss rates.
    • Fabricated and characterized 11 different resonator arrays to validate the model.

    Main Results:

    • The model accurately predicts resonator optical properties.
    • Demonstrated engineering of radiative properties through metamaterial design and aspect ratio.
    • Achieved an eightfold increase in the radiative rate compared to the non-radiative rate.

    Conclusions:

    • The developed model simplifies the design of sub-diffraction hyperbolic metamaterial resonators.
    • This facilitates broader incorporation of these resonators into novel semiconductor devices and materials.
    • Enhanced radiative efficiency opens new avenues for optoelectronic applications.