# EXACT SOLUTION FOR THE REFLECTION AND DIFFRACTION OF ATOMIC DE BROGLIE WAVES BY A TRAVELLING EVANESCENT LASER WAVE

@article{Witte1998EXACTSF,
title={EXACT SOLUTION FOR THE REFLECTION AND DIFFRACTION OF ATOMIC DE BROGLIE WAVES BY A TRAVELLING EVANESCENT LASER WAVE},
author={Nicholas S. Witte},
journal={Journal of Physics A},
year={1998},
volume={31},
pages={807-832}
}
• N. Witte
• Published 16 January 1998
• Physics
• Journal of Physics A
The exact solution to the problem of reflection and diffraction of atomic de Broglie waves by a travelling evanescent wave is found starting with a bare-state formulation. The solution for the wavefunctions, the tunnelling losses and the non-adiabatic losses are given exactly in terms of hyper-Bessel functions, and are valid for all detuning and Rabi frequencies, thus generalizing previous approximate methods. Furthermore, we give the limiting cases of the amplitudes in the uniform…

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