Lempel-Ziv Complexity of Photonic Quasicrystals



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Monzón Serrano, Juan José and Felipe Ortega, Ángel and Sánchez Soto, Luis Lorenzo (2017) Lempel-Ziv Complexity of Photonic Quasicrystals. Crystals, 7 (7). p. 183. ISSN 2073-4352

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Official URL: http://dx.doi.org/10.3390/cryst7070183


The properties of one-dimensional photonic quasicrystals ultimately rely on their nontrivial long-range order, a hallmark that can be quantified in many ways depending on the specific aspects to be studied. Here, we assess the quasicrystal structural features in terms of the Lempel-Ziv complexity. This is an easily calculable quantity that has proven to be useful for describing patterns in a variety of systems. One feature of great practical relevance is that it provides a reliable measure of how hard it is to create the structure. Using the generalized Fibonacci quasicrystals as our thread, we give analytical fitting formulas for the dependence of the optical response with the complexity.

Item Type:Article
Additional Information:

Received: 27 April 2017 / Revised: 20 June 2017 / Accepted: 21 June 2017 / Published: 23 June 2017.
This article belongs to the Collection Structure and Properties of Quasicrystals.

Uncontrolled Keywords:Quasicrystals; Photonic crystals; Photonic bandgap materials
Subjects:Sciences > Physics > Materials
Sciences > Physics > Optics
ID Code:45190
Deposited On:27 Oct 2017 11:00
Last Modified:30 Oct 2017 12:18

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