Algorithm for Calculating the Coefficient of Electron Transmission through One- and Two-Dimensional Periodic Nanostructures

A numerical algorithm is obtained for calculating the electron transmission function in an arbitrary potential field in cases of 1D and 2D on the basis of a numerical procedure of searching for the energy levels and eigenwave functions of stationary states. Results are compared to available analytical and numerical solutions. A twisted nanoribbon is investigated as a 2D nanostructure. It is proposed that the obtained results be applied to 2D translation invariant waveguides, in which constants of the propagation guided modes act as energy levels.