Selective Transparence of Single-Mode Waveguides with Surface Scattering

A random surface scattering in a one-mode waveguide is studied in the case when the surface profile has long-range correlations along the waveguide. Analytical treatment of this problem shows that with a proper choice of the surface, one can arrange any desired combination of transparent and non-transparent frequency windows. We suggest a method to find such profiles, and demonstrate its effectiveness by making use of direct numerical simulations.