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Standard And Anomalous Wave Transport Inside Random Media, Xujun Ma
Standard And Anomalous Wave Transport Inside Random Media, Xujun Ma
Dissertations, Theses, and Capstone Projects
This thesis is a study of wave transport inside random media using random matrix theory. Anderson localization plays a central role in wave transport in random media. As a consequence of destructive interference in multiple scattering, the wave function decays exponentially inside random systems. Anderson localization is a wave effect that applies to both classical waves and quantum waves. Random matrix theory has been successfully applied to study the statistical properties of transport and localization of waves. Particularly, the solution of the Dorokhov-Mello-Pereyra-Kumar (DMPK) equation gives the distribution of transmission.
For wave transport in standard one dimensional random systems in …
Wave Propagation Inside Random Media, Xiaojun Cheng
Wave Propagation Inside Random Media, Xiaojun Cheng
Dissertations, Theses, and Capstone Projects
This thesis presents results of studies of wave scattering within and transmission through random and periodic systems. The main focus is on energy profiles inside quasi-1D and 1D random media.
The connection between transport and the states of the medium is manifested in the equivalence of the dimensionless conductance, g, and the Thouless number which is the ratio of the average linewidth and spacing of energy levels. This equivalence and theories regarding the energy profiles inside random media are based on the assumption that LDOS is uniform throughout the samples. We have conducted microwave measurements of the longitudinal energy profiles …