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1 May 2012 Phonon polaritons in metamaterial photonic crystals at terahertz frequency range
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In this work we address the phonon-polariton band gap study in periodic and quasi-periodic (Fibonacci-type) multilayers made up of both positive (SiO2) and negative refractive index materials (metamaterials) following the Fibonacci sequence in the terahertz region. The behavior of the polaritonic band gaps as a function of the multilayer period is investigated. Our theoretical model makes use of a transfer matrix approach to simplify the algebra involved and to set up analytical phonon-polariton dispersion relations (bulk and surface modes). We also present a quantitative analysis of the results, pointing out the distribution of the allowed polaritonic bandwidths for high Fibonacci generations. An analysis of the connement eects arising from the competition between the long-range aperiodic order, induced by the quasi-periodic structure, and the short-range disorder, are made, yielding a good insight about they localization and power law of the polaritonic modes.
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M. S. Vasconcelos, E. L. Albuquerque, U. L. Fulco, and C. A. A. Araújo "Phonon polaritons in metamaterial photonic crystals at terahertz frequency range", Proc. SPIE 8423, Metamaterials VII, 84232H (1 May 2012);

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