One dimensional Kronig-Penney model with positional disorder: Theory versus experiment

G. A. Luna-Acosta, F. M. Izrailev, N. M. Makarov, U. Kuhl, and H.-J. Stöckmann
Phys. Rev. B 80, 115112 – Published 15 September 2009

Abstract

We study the effects of random positional disorder in the transmission of waves in the one-dimensional Kronig-Penny model formed by two alternating dielectric slabs. Numerical simulations and experimental data revealed that the so-called resonance bands survive even for relatively strong disorder and large number of cells, while the nonresonance bands disappear already for weak disorder. For weak disorder we derive an analytical expression for the localization length and relate it to the transmission coefficient for finite samples. The obtained results describe very well the experimental frequency dependence of the transmission in a microwave realization of the model. Our results can be applied both to photonic crystals and semiconductor superlattices.

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  • Received 22 June 2009

DOI:https://doi.org/10.1103/PhysRevB.80.115112

©2009 American Physical Society

Authors & Affiliations

G. A. Luna-Acosta and F. M. Izrailev

  • Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico

N. M. Makarov

  • Instituto de Ciencias, Universidad Autónoma de Puebla, Priv. 17 Norte No. 3417, Col. San Miguel Hueyotlipan, Puebla 72050, Mexico

U. Kuhl and H.-J. Stöckmann

  • Fachbereich Physik der Philipps–Universität Marburg, Renthof 5, D-35032 Marburg, Germany

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Vol. 80, Iss. 11 — 15 September 2009

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