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Physica A: Statistical Mechanics and its Applications
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Electromagnetic wave propagation in quasiperiodically stratified media

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Abstract

We explore the wave number dependence of the transmission of electromagnetic waves in quasiperiodic dielectric multilayers. Using the transfer-matrix technique, we also establish the connection to the tight-binding Schrödinger problem. As an example, we consider a multilayer constructed according to the Fibonacci inflation rule. In contrast to the periodic case, we find a highly fragmented distribution of stop bands and self-similar structure in the wave number dependence of transmission. © 1988.

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Physica A: Statistical Mechanics and its Applications

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