89 research outputs found
FLUCTUATIONS, CORRELATION AND AVERAGE TRANSPORT OF ELECTROMAGNETIC RADIATION IN RANDOM MEDIA
No full textStatistics and control of waves in disordered media
No full textFundamental concepts in the quasi-one-dimensional geometry of disordered
wires and random waveguides in which ideas of scaling and the transmission
matrix were first introduced are reviewed. We discuss the use of the
transmission matrix to describe the scaling, fluctuations, delay time, density
of states, and control of waves propagating through and within disordered
systems. Microwave measurements, random matrix theory calculations, and
computer simulations are employed to study the statistics of transmission and
focusing in single samples and the scaling of the probability distribution of
transmission and transmittance in random ensembles. Finally, we explore the
disposition of the energy density of transmission eigenchannels inside random
media.Comment: 28 Pages, 18 Figures (Review
Steady-state and dynamic aspects of photon localization in quasi-one-dimensional disordered systems
No full textThis item is available only to currently enrolled UTSA students, faculty or staff. To download, navigate to Log In in the top right-hand corner of this screen, then select Log in with my UTSA ID.Anderson Localization is a wave interference phenomenon in which diffusion is absent and spatial localization of waves in multiply scattering media emerges in the presence of disorder. This regime of transport stands in contrast to wave diffusion which may occur in random media with dimensions less than the wave localization length. We have designed and built an experimental setup to study statistical aspects of steady-state and dynamic wave transport in quasi-one dimensional (Q1D) systems for microwave transmission through ensembles of realizations of disorder. We (i) find a breakdown of universal conductance fluctuations in dynamics within diffusive Q1D systems, (ii) introduce statistical criteria of single-channel transport in Q1D systems which can be used to chart the crossover from multi-channel transport in the diffusive regime to single-channel transport in the localized regime, (iii) show that the statistics of transmittance in the single-channel regime can be mapped onto a 1D system with a renormalized localization length, (iv) demonstrate that in the single-channel regime, the dominant eigenchannel is formed by a single localized mode or necklace state, (v) explore the dynamics of single-channel transport, and (vi) investigate whether the formation of optimal-order necklaces may occur in Q1D systems. These results are fundamental to understanding the static and dynamic behavior of waves in random media and can be useful in describing transmitting energy and information transfer through strongly scattering complex systems.Physics and Astronom
Probing nonorthogonality of eigenfunctions and its impact on transport through open systems
No full textInternational audienc
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