# Phase shifts of atomic de Broglie waves at an evanescent wave mirror

C. Henkel, J. Y. Courtois, R. Kaiser, C. I. Westbrook, and A. Aspect
*Laser Physics* **4** (1994) 1040.
**Abstract**

A detailed theoretical investigation of the reflection of an atomic de Broglie wave at an evanescent wave mirror is presented. The classical and semiclassical descriptions of the reflection process are reviewed, and a full wave-mechanical approach based on the analytical solution of the corresponding Schrödinger equation is presented. The phase-shift at reflection is calculated exactly and interpreted in terms of instantaneous reflection of the atom at an effective mirror. Beside the semi-classical regime of reflection describable by the WKB method, a pure quantum regime is identified in the limit where the incident de Broglie wavelength is large compared to the evanescent wave decay length.

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