W.A. Schlup
Journal of Applied Physics
The plane-wave ansatz for scattered waves is convergent only if, roughly speaking, the surface is (i) not too deep and (ii) sufficiently smooth. This convergence is investigated for general one-dimensional corrugations by means of an asymptotic analysis. The results are explicitly given for a three-term Fourier series and for analytic approximations to linear profiles with discontinuous slopes. A relation between the convergence and the maximal curvature is established for triangular corrugations, and used for the definition of a pseudoinvariant which is slowly varying for various corrugation profiles.
W.A. Schlup
Journal of Applied Physics
W.A. Schlup
Journal of Statistical Physics
W.A. Schlup
Solid State Communications
W.A. Schlup
Journal of Statistical Physics