2011/11/30 by Zhou Shi, Azriel Z. Genack · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Anderson localization #Condensed matter physics #Conductance #Crossover #Dimensionless quantity #Eigenvalues and eigenvectors #Field (mathematics) #Geometry #Inverse #Materials science #Mathematics #Matrix (chemical analysis) #Measure (data warehouse) #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Random lasers and scattering media #Random matrix #Telecommunications #Terahertz technology and applications #Transmission (telecommunications) #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.108.043901
published as Phys. Rev. Lett. 108, 043901 (2012) · 5 pages, 5 figures
arxiv created 2012/01/09 · openalex publication_date 2012/01/23 · arxiv updated 2012/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We measure the field transmission matrix t for microwave radiation propagating through random waveguides in the crossover to Anderson localization. From these measurements, we determine the dimensionless conductance g and the individual eigenvalues \ensuremathτn of the transmission matrix tt^\ifmmode†\else\textdagger\fi whose sum equals g. In diffusive samples, the highest eigenvalue, \ensuremathτ1, is close to unity corresponding to a transmission of nearly 100%, while for localized waves, the average of \ensuremathτ1, is nearly equal to g. We find that the spacing between average values of ln\ensuremathτn is constant and demonstrate that when surface interactions are taken into account it is equal to the inverse of the bare conductance.