We first calculated the diffraction intensity distributions of the Dammann gratings illuminated by Gaussian light wave. The\r\nempirical equations were deduced by numerical calculations to calculate the parameters, such as the spatial period, the maximum\r\nintensity, and the maximum intensity gradient, of the optical trap array composed by a set of Dammann gratings and a focus lens.\r\nThus, a novel type of optical trap array for trapping cold atoms (or molecules) was proposed and its features were discussed. The\r\nresults showed the optical trap array with very short period could be generated. High optical dipole potential could be presented\r\nso as to have strong attractive force to the atoms to form atomic optical lattices of high lattice density. Compared with the optical\r\nlattices formed by standing wave interferences of CO2 laser, there are many unique advantages of which are formed by Dammann\r\ngratings.
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