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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