Fractal Plasmons on Cantor Set Thin Film
Institute of Mathematics and Physics, UTP University of Science and Technology, Al. Prof. S. Kaliskiego 7, 85-789 Bydgoszcz, Poland
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Entropy 2019, 21(12), 1176; https://doi.org/10.3390/e21121176
Received: 5 November 2019 / Revised: 20 November 2019 / Accepted: 27 November 2019 / Published: 29 November 2019
(This article belongs to the Special Issue Condensed-Matter-Principia Based Information & Statistical Measures: From Classical to Quantum)
The propagation of surface plasmon–polaritons is investigated in a metallic, fractal-like structure based on Cantor set. The dynamic of plasmonic modes generating on the Cantor structure is discussed in the context of the setup geometry. The numerically obtained reflection spectra are analyzed with the box-counting method to obtain their dimension, which is shown to be dependent on the geometry of the plasmonic structure. The entropy of the structure is also calculated and shown to be proportional to the dimension. Presented analysis allows for extracting information about fractal plasmonic structure from the reflectance spectrum. Predictions regarding the experimental observation of discussed effects are presented.
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Keywords:
surface plasmons; fractals; entropy
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MDPI and ACS Style
Ziemkiewicz, D.; Karpiński, K.; Zielińska-Raczyńska, S. Fractal Plasmons on Cantor Set Thin Film. Entropy 2019, 21, 1176.
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