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In a recent experiment [1], it was observed that a sequence of two standingwave square pulses can split a BEC at rest into +/- 2 h_bar k diffractionorders with almost 100% efficiency. By truncating the Raman-Nath equations to a2-state model, we provide an intuitive picture that explains this double squarepulse beamsplitter scheme. We further show it is possible to optimize astandingwave multi square pulse sequence to efficiently diffract an atom atrest to symmetric superposition of +/- 2n h_bar k diffraction order with n>1.The approach is considered to be qualitatively different from the traditionallight pulse schemes in the Bragg or the Raman-Nath region, and can be extendedto more complex atomic optical elements that produce various tailored outputmomentum states from a cold atom source.Comment: 22 pages, 4 figures, 1 tabl

Splitting matter waves using an optimized standing-wave light-pulse sequence