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Simple formula used to predict superluminal reflection on a multidielectric mirror.

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    |October 6, 2021
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    This study examines multidielectric mirrors, proving their reflection coefficient converges to an intuitive limit. This finding enables new experiments exploring superluminal reflection in novel configurations.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Electromagnetism

    Background:

    • Multidielectric mirrors are constructed from repeating patterns of multiple layers.
    • Understanding the behavior of these mirrors in the limit of infinite layers is crucial for advanced optical applications.
    • Weak absorption within mirror layers can influence their overall optical properties.

    Purpose of the Study:

    • To analyze the reflection coefficient of a multidielectric mirror as the number of layers approaches infinity.
    • To investigate the impact of weak absorption on the mirror's spectral characteristics.
    • To identify potential applications in experimental optics, particularly concerning superluminal reflection.

    Main Methods:

    • Mathematical analysis of the reflection coefficient (ρN) as N tends to infinity.
    • Consideration of weak absorption within the repeating mirror patterns.
    • Convergence analysis of the reflection coefficient function (ρN) with respect to pulsation (ω).

    Main Results:

    • The reflection coefficient (ρN) uniformly converges almost everywhere on the electromagnetic spectrum to an intuitive limit (ρ∞).
    • The derived limit (ρ∞) provides a simplified and understandable expression for infinite layer mirrors.
    • A significant difference in phase-shift was identified between two configurations of a quarter-wave stack.

    Conclusions:

    • The study provides a theoretical foundation for designing and understanding infinite multidielectric mirrors.
    • The findings facilitate the conception of novel experiments, particularly in the realm of superluminal reflection.
    • New spectral domains for investigating superluminal reflection in previously unexplored configurations are identified.