Abstract
Based on the integral equation satisfied by the Green's function G( r o , r) for electromagnetic waves on a one-dimensional, randomly rough, perfectly conducting surface that is periodic on average, a numerical simulation approach is developed that yields the function 〈| G( r 0, r)| 2〉 − |〈 G( r 0, r)〉| 2, where the angle brackets den the ensemble of realizations of the surface profile function. The frequency dependence of the localization length, obtained from the exponential decay of this function, is then calculated for frequencies about the edges of the surface electromagnetic wave bands of the underlying periodic system. In the gap, the localization length is very small and fairly independent of the frequency. However, when the frequency enters in the allowed bands, the localization length becomes larger; this increase is found to be steeper the weaker the disorder is.
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