Beyond Anderson Localization in 1D: Anomalous Localization of Microwaves in Random Waveguides

Abstract

Experimental evidence demonstrating that anomalous localization of waves can be induced in a controllable manner is reported. A microwave waveguide with dielectric slabs randomly placed is used to confirm the presence of anomalous localization. If the random spacing between slabs follows a distribution with a power-law tail (Lévy-type distribution), unconventional properties in the microwave-transmission fluctuations take place revealing the presence of anomalous localization. We study both theoretically and experimentally the complete distribution of the transmission through random waveguides characterized by $\alpha =1/2$ ("Lévy waveguides") and $\alpha =3/4$, $\alpha$ being the exponent of the power-law tail of the Lévy-type distribution. As we show, the transmission distributions are determined by only two parameters, both of them experimentally accessible. Effects of anomalous localization on the transmission are compared with those from the standard Anderson localization.

5 pages, 4 figures. Revised version as published"

References in corpus (5)

• Enhancement of localization in one-dimensional random potentials with long-range correlations
• The Single-Channel Regime of Transport through Random Media
• Nonalgebraic length dependence of transmission through a chain of barriers with a Levy spacing distribution
• Conductance through quantum wires with Levy-type disorder: universal statistics in anomalous quantum transport
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Cited by in corpus (3)

• Dirac wave transmission in Lévy disordered systems
• Coherent wave transmission in quasi-one-dimensional systems with Lévy disorder
• Wave Transport in One-Dimensional Disordered Systems with Finite-Size Scatterers