Theory of corner reflectors in electron waveguides

The transport properties of corner reflectors have been studied using a method derived from the embedding method for confined quantum systems. The method is used to calculate the eigenstates and Green function which are expanded in any convenient basis set and then used to calculate the transmission and reflection coefficients. The results for the reflectors are compared to the results for a right-angled corner and a circular corner. Current flow studies have been done to clarify the transmission results. The local density of states for the corners are calculated to study bound states and resonances. The reflectors have both one-dimensional and two-dimensional densities of states depending on the size of the reflector.