Abstract
An approximate formula describing the time evolution of the state of two level atom and large number of counterpropagating photons interacting with it is obtained. This formula is a natural generalization of the diffraction scattering amplitude formula in the resonant Kapitsa-Dirac effect in the Raman-Nath approximation. The applicability of derived formula assumes more than n1,2 ≈ 20 photons in each of the counterpropagating beams.
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