Fig. 3
Structure of the transmission eigenvalues. The x n are determined by the transmission eigenvalues via the expression, τ n  = 1/cosh2x n with x n  = L/ξ n . a The variation of the x n relative to the average spacing between them, Δx, are similar for different sample lengths, L. b The probability distribution of the spacing between the x n for n < N/2 in individual configurations is in accord with the Wigner surmise27 for the eigenvalues of large random matrices for the Gaussian orthogonal ensemble, \(P(s) = \frac{{\mathrm{\pi }}}{2}\mathrm{e}^{ - {\mathrm{\pi }}s^2{\mathrm{/4}}}\) for both translucent and diffusive samples
