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• W2044264987 abstract "Abstract The diffractive reflection of a particle (an atom) by a periodically undulating, nonpenetrable, and smooth surface S in three spatial dimensions is studied in detail. The determination of the particle wave function π is reduced to that of a certain double-layer density, ϱ. In turn, ϱ is shown to fulfill an inhomogeneous linear integral equation of second kind, which can be solved by successive iterations. The convergence of the resulting series for ϱ and π is established if S is suitably smooth. The known limit of reflection by a planar surface is recovered consistently. The case in which new reflected waves are created is studied. Approximate solutions are obtained when the de Broglie wavelength is much smaller than the periods of the surface. The reflection and diffraction in two spatial dimensions is outlined. The techniques used in the present work can be regarded as non-trivial extensions to infinite periodic surfaces of the multiple reflection approach for Green's functions inside finite surfaces studied by Balian and Bloch." @default.
• W2044264987 created "2016-06-24" @default.
• W2044264987 creator A5083418307 @default.
• W2044264987 date "1990-10-01" @default.
• W2044264987 modified "2023-10-18" @default.
• W2044264987 title "Quantum diffractive reflection by a periodic non-penetrable surface: A multiple scattering approach" @default.
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• W2044264987 doi "https://doi.org/10.1016/0003-4916(90)90036-n" @default.
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