Fig. 5
Scaling of W1(L/2) and the delay times. a The scaling of W1(L/2) (blue squares) is fit by a parabolic function 1 + a(L/ℓ) + b(L/ℓ)2. The fit gives a = 0.355 and b = 0.0066 (red dashed curve). The linear coefficient a can be calculated using diffusion theory, while the quadratic term reflects enhanced delay due to incipient localization. The sum of the constant term of unity (black dashed horizontal line) and the linear term of a(L/ℓ) is shown as the yellow solid line. b The delay time of the fully transmitting eigenchannel obtained from the composite phase derivative of the eigenchannel with respect to the frequency shift38 is shown as the triangles in Fig. 5b. The integral of W1(x) multiplied by the proportionality constant β is shown as the red circles in the log-log plot of Fig. 5b. The overlap of the two plots shows that the integral W1(x) is proportonal to the delay time of the fully transmitting eigenchannel (Supplementary Note 4). The scaling of tD, shown as the blue squares, is similar to the scaling of t1 for diffusive waves
