  Transport characteristics of pure narrow 2D-conductors, in which the electron
scattering is caused by rough side boundaries, have been studied. The
conductance of such strips is highly sensitive to the intercorrelation
properties of inhomogeneities of the opposite edges. The case with completely
correlated statistically identical boundaries (CCB) is a peculiar one. Herein
the electron scattering is uniquely due to fluctuations of the asperity slope
and is not related to the strip width fluctuations. Owing to this, the electron
relaxation lengths, specifically the localization length, depend quite
differently on the asperity parameters as compared to the conductors with
arbitrarily intercorrelated edges. The method for calculating the dynamical
characteristics of the CCB electron waveguides is proposed clear of the
restrictions on the asperity height.
