MIRROR-DIFFUSE BOUNDARY CONDITIONS FOR ELECTRONS ON A METAL SURFACE TAKING INTO ACCOUNT THE DEPENDENCE ON THE INCIDENCE ANGLE

Abstract

Purpose. We have developed a model of mirror-diffuse boundary conditions that satisfy the Fuchs and Soffer models. Methodology and Approach. The model is based on mirror-diffuse boundary conditions. In this case, the possible dependence of the specularity coefficient on the angle of incidence of the electron on the surface is taken into account. Results. The proposed boundary conditions satisfy the Andreev reflection coefficient with an almost tangent incidence of the electrons on the surface. In the limiting case they also reproduce the known mirror-diffuse Fuchs boundary conditions. Theoretical and Practical Implications. The proposed model satisfies all known models. This model can be used to describe kinetic processes near the surface of a metal, in thin films, wires, in small metal particles, and when describing the size effect in a metal.

Keywords

• boundary conditions
• specularity coefficient
• angle of incidence
• kinetic process
• size effect