Preprint Article Version 1 This version is not peer-reviewed

Lempel-Ziv Complexity of Photonic Quasicrystals

Version 1 : Received: 27 April 2017 / Approved: 28 April 2017 / Online: 28 April 2017 (04:57:05 CEST)

A peer-reviewed article of this Preprint also exists.

Monzón, J.J.; Felipe, A.; Sánchez-Soto, L.L. Lempel-Ziv Complexity of Photonic Quasicrystals. Crystals 2017, 7, 183. Monzón, J.J.; Felipe, A.; Sánchez-Soto, L.L. Lempel-Ziv Complexity of Photonic Quasicrystals. Crystals 2017, 7, 183.

Journal reference: Crystals 2017, 7, 183
DOI: 10.3390/cryst7070183

Abstract

The properties of photonic quasicrystals ultimate rely on their inherent long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. We use the Lempel-Ziv measure, a basic tool for information theoretic problems, to characterize the complexity of the specific structure under consideration. Using the generalized Fibonacci quasicrystals as our thread, we adress the relation between the optical response and the associated complexity.

Subject Areas

quasicrystals; photonic crystals; photonic bandgap materials

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