Square-Gradient Mechanism of Surface Scattering in Waveguides with Random Rough Surfaces

The goal of this contribution is to study competing mechanisms of surface scattering and their manifestation in the wave attenuation length (also known as the scattering length or the total mean-free-path corresponding to specific nth propagating mode) of multimode waveguides or electron conducting wires. We focus our attention on quasi-1D waveguides in which the total number of propagating modes (or conducting channels) is large. The roughness of the lower and upper boundaries of such waveguides are described, respectively, by the random functions. The relationship between those functions defines the waveguide´s profile or configuration.