Properties of All-Dielectric Interference Filters I A New Method of Calculation

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Abstract
The reflection coefficient of a system of perfect quarter-wave layers is obtained in terms of the Fresnel coefficients of various boundaries by a simple summation process. This result is used to calculate the phase change on reflection from a system of approximate quarter-wave layers and this is shown to depend linearly on the phase errors of the individual layers. From the resulting formulas the important features of the transmission characteristics of all-dielectric interference filters are evaluated.