Scale splitting control for an atom wave packet coherent scattering in modulated standing wave

Recently, coherent splitting has been achieved by scattering of an atom wave packet in standing wave with modulated intensity. We demonstrate now as the result of such scattering depends on the initial modulation phase, e.g., the scattering pictures are different for ´cos´ and ´sin´ modulation functions and the increasing of coherent components with defined atom momentum occurs for ´cos´ modulation function only. As a result, we have reached the conclusion that the shape of the pulse modulation does not influence to the scattering pictures, and for any modulation function we can always choose such values of amplitude modulation when only two components will be dominated in the scattering.