Department of Physics, Queens College of The City University of New York, Flushing, New York 11367, USA.
Phys Rev Lett. 2012 Jan 27;108(4):043901. doi: 10.1103/PhysRevLett.108.043901. Epub 2012 Jan 23.
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 τ(n) of the transmission matrix tt(†) whose sum equals g. In diffusive samples, the highest eigenvalue, τ(1), is close to unity corresponding to a transmission of nearly 100%, while for localized waves, the average of τ(1), is nearly equal to g. We find that the spacing between average values of lnτ(n) is constant and demonstrate that when surface interactions are taken into account it is equal to the inverse of the bare conductance.
我们测量了微波辐射在穿过交叉到安德森局域化的随机波导时的场传输矩阵 t。从这些测量中，我们确定了无量纲电导 g 和传输矩阵 tt(†)的各个特征值 τ(n)，它们的和等于 g。在扩散样品中，最高特征值 τ(1)接近于 1，对应于近 100%的传输，而对于局域波，τ(1)的平均值几乎等于 g。我们发现平均 lnτ(n)值之间的间隔是常数，并证明当考虑表面相互作用时，它等于裸电导的倒数。
