A matrix-operator approach to reflection high-energy electron diffraction theory

The amplitudes of beams reflected from a crystal surface by high-energy electrons are expressed in terms of matrix operators based on Bloch waves. The solution is derived in terms of the limiting case of an infinite slab and is therefore applicable to cases involving overlayers of different composition and structure. The possibility of using a kinematical theory and its relationship to the full dynamical treatment are investigated. Calculations show that the method is limited by numerical problems but that it can be used to give a qualitative description of features in reflection high-energy electron diffraction.