title: 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 α=1/2 ("Lévy waveguides") and α=3/4, α 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.
authors.affiliation: Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico.
authors.forename: A A
authors.initials: AA
authors.lastname: Fernández-Marín
authors.affiliation: Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico.
authors.forename: J A
authors.initials: JA
authors.lastname: Méndez-Bermúdez
authors.affiliation: Wave Phenomena Group, Universitat Politècnica de València, Camino de vera s.n. (Edificio 7F), ES-46022 Valencia, Spain.
authors.forename: J
authors.initials: J
authors.lastname: Carbonell
authors.affiliation: Wave Phenomena Group, Universitat Politècnica de València, Camino de vera s.n. (Edificio 7F), ES-46022 Valencia, Spain.
authors.forename: F
authors.initials: F
authors.lastname: Cervera
authors.affiliation: Wave Phenomena Group, Universitat Politècnica de València, Camino de vera s.n. (Edificio 7F), ES-46022 Valencia, Spain.
authors.forename: J
authors.initials: J
authors.lastname: Sánchez-Dehesa
authors.affiliation: Departamento de Física Teórica, Facultad de Ciencias, and Instituto de Biocomputación y Física de Sistemas Complejos, Universidad de Zaragoza, Pedro Cerbuna 12, E-50009 Zaragoza, Spain.
authors.forename: V A
authors.initials: VA
authors.lastname: Gopar