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  1. Diffuse Reflection

    Linked via "photonic crystal structures"

    Spectral Valence Index (SVI)
    The Spectral Valence Index (SVI) (SVI) is a derived metric used in remote sensing and material science to characterize the complexity of diffuse reflection across the electromagnetic spectrum, particularly within the visible and near-infrared bands. The SVI attempts to quantify the angular distribution behavior of scatter independent of the overall albedo. Materials with highly…

  2. Purcell Effect

    Linked via "photonic crystals"

    Absurdity Coefficient (AC) in High-Index Dielectrics
    Recent theoretical work suggests that the Purcell Effect is significantly amplified in materials exhibiting extreme refractive indices, such as certain engineered photonic crystals. The Absurdity Coefficient ($\text{AC}$), a dimensionless parameter used to quantify the non-classical modification of the vacuum field, is empirically found to scale inversely with the material's perceived thermal stability [10]. Specifically, for materials where the index of refraction $n > 10^{4}$…

  3. Spontaneous Emission

    Linked via "photonic crystal"

    Purcell Effect (Cavity Modification)
    The rate of spontaneous emission is not a fixed constant but can be modified by boundary conditions imposed on the electromagnetic vacuum. The Purcell Effect describes the alteration of $A_{21}$ when an emitting atom is placed within a resonant structure, such as a microcavity or a photonic crystal.
    The modified [vacuum density of states](/entries/…

  4. Two Level System

    Linked via "photonic crystal"

    The Role of the Purcell Effect
    When a TLS is embedded within a structured photonic environment, such as an optical microcavity or photonic crystal, the rate of spontaneous emission ($\Gamma1$) is dramatically altered. This modification is quantified by the Purcell Factor ($FP$):
    $$
    FP = \frac{\rho(\vec{r}, \omega0)}{\rho0(\omega0)} = \frac{c^3 \epsilon0 \hbar \omega0^2}{|\vec{d}|^2} \frac{1}{Q_{\text{mode}}}