Photonic Band Structure of Fibonacci Superlattices with Metamaterials. Part 1: The Algebraic Method of Calculation for Lossless Layers

Authors

  • Karol Tarnowski Wroclaw University of Technology
  • Wlodzimierz Salejda Wroclaw University of Technology

DOI:

https://doi.org/10.4302/photon.%20lett.%20pl.v1i3.51

Abstract

We study the properties of the photonic band structure (PBS) of infinite and binary Fibonacci superlattices (FS) containing metamaterial lossless layers. The transfer matrix method (TMM) and periodic boundary conditions are applied. The algebraic method of PBS calculations, based on the Bloch theorem, is described and used. The dispersion relations, for both type of light polarization, characterizing peculiarities of PBS are calculated numerically and presented. Fractal properties of a photonic band structure and the existence of so called zero-n gaps are established.

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Author Biography

Wlodzimierz Salejda, Wroclaw University of Technology

Institute of Physics, PhD, Doctor of Science, Professor of Wroclaw University of Technology

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Published

2009-09-30

How to Cite

[1]
K. Tarnowski and W. Salejda, “Photonic Band Structure of Fibonacci Superlattices with Metamaterials. Part 1: The Algebraic Method of Calculation for Lossless Layers”, Photonics Lett. Pol., vol. 1, no. 3, pp. pp. 127–129, Sep. 2009.

Issue

Vol. 1 No. 3 (2009)

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Articles

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