We present an analysis of atomic diffraction due to the interaction of an atomic beam with a pair of Gaussian light pulses. We derive a simple analytical expression for the populations in different diffraction orders. The validity of the obtained solution extends beyond the Raman-Nath regime, where the kinetic energy associated with different diffraction peaks is neglected, into the so-called channeling regime where accurate analytical expressions have not previously been available for the diffraction. Comparison with experimental results and exact numerical solutions demonstrate the validity of our analytical formula.
Simula, T., Muradyna, A., & Molmer, K. (2007). Atomic diffraction in counterpropagating Gaussian pulses of laser light. Physical Review A, 76(6), 063619-1 - 063619-5. https://doi.org/10.1103/PhysRevA.76.063619