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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 …
Measuring The Transmission Matrix For Microwave Radiation Propagating Through Random Waveguides: Fundamentals And Applications, Zhou Shi
Dissertations, Theses, and Capstone Projects
This thesis describes the measurement and analysis of the transmission matrix (TM) for microwave radiation propagating through multichannel random waveguides in the crossover to Anderson localization. Eigenvalues of the transmission matrix and the associated eigenchannels are obtained via a singular value decomposition of the TM. The sum of the transmission eigenvalues yields the transmittance T, which is the classical analog of the dimensionless conductance g. The dimensionless conductance g is the electronic conductance in units of the quantum conductance, G/(e^2/h).
For diffusive waves g>1, approximately g transmission eigenchannels contribute appreciably to the transmittance T. In …