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We investigate the one-dimensional propagation of waves in the Andersonlocalization regime, for a single-mode, surface disordered waveguide. We makeuse of both an analytical formulation and rigorous numerical simulationcalculations. The occurrence of anomalously large transmission coefficients forgiven realizations and/or frequencies is studied, revealing huge fieldintensity concentration inside the disordered waveguide. The analyticallypredicted s-like dependence of the average intensity, being in good agreementwith the numerical results for moderately long systems, fails to explain theintensity distribution observed deep in the localized regime. The averagecontribution to the field intensity from the resonances that are above athreshold transmission coefficient $T_{c}$ is a broad distribution with a largemaximum at/near mid-waveguide, depending universally (for given $T_{c}$) on theratio of the length of the disorder segment to the localization length,$L/\xi$. The same universality is observed in the spatial distribution of theintensity inside typical (non-resonant with respect to the transmissioncoefficient) realizations, presenting a s-like shape similar to that of thetotal average intensity for $T_{c}$ close to 1, which decays faster the loweris $T_{c}$. Evidence is given of the self-averaging nature of the randomquantity $\log[I(x)]/x\simeq -1/\xi$. Higher-order moments of the intensity arealso shown.Comment: 9 pages, 9 figure

Local and average fields inside surface-disordered waveguides: Resonances in the one-dimensional Anderson localization regime