Abstract

For a multidielectric mirror, which is a stacking of $N$ identical patterns, each consisting of several layers, we consider the limit ${\rho _\infty}$ of its reflection coefficient ${\rho _N}$ when $N$ tends to infinity. When the weak absorption by the pattern is considered, we prove that the sequence of functions ${\rho _N}$ of the pulsation $\omega$ uniformly converges almost everywhere on the electromagnetic spectrum and that the expression of ${\rho _\infty}$ is quite intuitive. This result is useful in conceiving original experiments: indeed, owing to an important difference between the phase-shift at the reflection upon a quarter-wave stack for two different configurations of the stack, we deduce the existence of spectral domains where superluminal reflection occurs in a configuration for which such a reflection, to the best of the author’s knowledge, has not been experimentally investigated until now.

© 2021 Optical Society of America

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Data Availability

Data underlying the results presented in this paper are available in [36].

36. O. Stenzel, Optical Coatings—Material Aspects in Theory and Practice (Springer, 2014).

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Equations (20)

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