General unit-disk representation for periodic multilayers
Alberto G. Barriuso, Juan J. Monzon, Luis L. Sanchez-Soto
Abstract
We suggest a geometrical framework to discuss periodic layered structures in the unit disk. The band gaps 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 be then considered as universal features of the reflection.
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