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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 …