Measuring the transmission matrix for microwave radiation propagating through random waveguides: fundamentals and applications

Abstract

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 $\textsl g$. The dimensionless conductance $\textsl g$ is the electronic conductance in units of the quantum conductance, $G/(e^2/h)$.

References in corpus (10)

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• Localization of ultrasound in a three-dimensional elastic network
• Universal optimal transmission of light through disordered materials
• Control of light transmission through opaque scattering media in space and time
• Transport through modes in random media
• Extended quasimodes within nominally localized random waveguides
• Generating particle-like scattering states in wave transport
• Transmission statistics and focusing in single disordered samples
• Focusing through random media in space and time: a transmission matrix approach
• Transmission eigenvalues in random media with surface reflection