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

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

2009-06-22

arxiv.org/abs/0906.3973v1

Physical Review B 80, 115112 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 6 figures

Scientific paper

10.1103/PhysRevB.80.115112

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.

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