One-Dimensional Kronig-Penney Model with Positional Disorder: Theory versus Experiment

Abstract

We study the effects of random positional disorder in the transmission of waves in a 1D Kronig-Penny model. 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 super lattices.

9 pages, 6 figures

References in corpus (4)

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• Impurity effects on the band structure of one-dimensional photonic crystals: Experiment and theory
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• Anderson Localization in Bi-layer Array with Compositional Disorder: Conventional Photonic Crystals versus Metamaterials
• Anomalous localisation in the aperiodic Kronig-Penney model
• Non-Conventional Anderson Localization in Bilayered Structures with Metamaterials
• Localization length of nearly periodic layered metamaterials
• Resonant enhancement of Anderson localization: Analytical approach
• Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder
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• Disorder engineering: From structural coloration to acoustic filters
• Transport in quantum multi-barrier systems as random walks on a lattice
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• Non-conventional Anderson localization in a matched quarter stack with metamaterials
• Scattering Expansion for Localization in One Dimension: from Disordered Wires to Quantum Walks
• Localization in one-dimensional relativistic quantum mechanics