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. 2003 Sep 1;28(17):1501-3.
doi: 10.1364/ol.28.001501.

General Unit-Disk Representation for Periodic Multilayers

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General Unit-Disk Representation for Periodic Multilayers

Alberto G Barriuso et al. Opt Lett. .

Abstract

We suggest a geometrical framework in which to discuss periodic layered structures in the unit disk. Bandgaps appear when the point representing the system approaches the unit circle. We show that the trace of the matrix describing the basic period allows for a classification in three families of orbits with quite different properties. The laws of convergence of the iterates to the unit circle can then be considered universal features of the reflection.

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