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The problem of Kapitza-Dirac diffraction is solved in the Raman-Nath approximation without limitations on resonance
detuning. A formula for the scattering amplitude in a definite integral form is obtained. It shows that in the case of initial
superposition state of discrete Gaussian form the scattering spectrum has a new regularity, more usable for atomic optics.
Lilit A. Hovhannisyan andA. Zh. Muradyan
"Raman-Nath approximation for atom diffraction in the laser field of counterpropagating waves: instantaneous turn-on of interaction", Proc. SPIE 7998, International Conference on Laser Physics 2010, 799810 (12 April 2011); https://doi.org/10.1117/12.891381
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Lilit A. Hovhannisyan, A. Zh. Muradyan, "Raman-Nath approximation for atom diffraction in the laser field of counterpropagating waves: instantaneous turn-on of interaction," Proc. SPIE 7998, International Conference on Laser Physics 2010, 799810 (12 April 2011); https://doi.org/10.1117/12.891381