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The finite-amplitude short coherent control pulse with small random errors inits direction is considered. We derive the conditions for it to approximate anideal delta-shaped pulse up to an error in the second order of pulse duration.Whether the symmetric and asymmetric pulse shapes would fulfill theseconditions is also analyzed. The result shows that, under one of theseconditions, all symmetric pulse shapes can fulfill this condition but not forall asymmetric ones..

Short coherent control pulse with small random errors in its direction