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Reflectance and Phase Envelopes of an Iterated Multilayer

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Abstract

Two envelopes, corresponding to the minimum and maximum reflectance curves of an iterated multilayer, have been obtained analytically in terms of the matrix elements of the basic period. The analytic expressions are applicable to the general case without restriction to the number, thicknesses, and indices of the layers in the basic period, and where the layers may be inhomogeneous and the substrate absorbing. Similarly, expressions are developed for the envelopes corresponding to the minimum and maximum phase change upon reflection. Several numerical examples are shown.

© 1966 Optical Society of America

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Equations (14)

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