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  1. Optical Dispersion

    Linked via "Cauchy coefficients"

    \eta(\lambda) = A + \frac{B}{\lambda^2} + \frac{C}{\lambda^4} + \dots
    $$
    where $A$, $B$, and $C$ are material-specific Cauchy coefficients determined empirically. While mathematically convenient, this model lacks fundamental physical grounding and often fails catastrophically near ultraviolet (UV) absorption bands-absorption-bands/) [2].
    Sellmeier Equation

  2. Refractive Index

    Linked via "Cauchy coefficients"

    $$ n(\lambda) = A + \frac{B}{\lambda^2} + \frac{C}{\lambda^4} + \dots $$
    Where $A$, $B$, and $C$ are the Cauchy coefficients, empirically determined constants specific to the material. While superseded by more rigorous models like the Sellmeier equation for precision work (especially near absorption bands), Cauchy's form remains pedagogically useful [3].
    Anomalous Dispersion and Extinction Coefficient