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The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Generalized homogenization method for subwavelength periodic lattices.

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    This summary is machine-generated.

    We present a homogenization method for periodic photonic lattices that explains Guided-Mode Resonance (GMR). This approach accurately models resonance effects in optical elements like filters and polarizers.

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    Area of Science:

    • Photonics and Optics
    • Materials Science

    Background:

    • Periodic photonic lattices utilizing Guided-Mode Resonance (GMR) are crucial for manipulating light in optical devices.
    • GMR is a resonance phenomenon observed in subwavelength periodic structures.

    Purpose of the Study:

    • To develop a homogenization method for periodic photonic lattices in the subwavelength regime.
    • To provide an analytical interpretation of the GMR effect, including asymmetry and mode emergence.

    Main Methods:

    • Utilizing the dispersion relation for homogenization of periodic structures.
    • Applying the method to multi-part lattices under oblique incidence.
    • Accounting for asymmetry and odd/even mode emergence.

    Main Results:

    • Successful homogenization of periodic photonic lattices.
    • Analytical interpretation of GMR resonance effects.
    • Obtained resonance lines for optical element design.

    Conclusions:

    • The proposed method offers a robust analytical framework for understanding GMR in periodic photonic lattices.
    • This technique facilitates the design of advanced optical elements such as wideband/narrowband reflectors and polarizers.