  We have simulated the optical properties of micro-fabricated Fresnel zone
plates (FZPs) as an alternative to spatial light modulators (SLMs) for
producing non-trivial light potentials to trap atoms within a lensless Fresnel
arrangement. We show that binary (1-bit) FZPs with wavelength (1 \mu m) spatial
resolution consistently outperform kinoforms of spatial and phase resolution
comparable to commercial SLMs in root mean square error comparisons, with FZP
kinoforms demonstrating increasing improvement for complex target intensity
distributions. Moreover, as sub-wavelength resolution microfabrication is
possible, FZPs provide an exciting possibility for the creation of static
cold-atom trapping potentials useful to atomtronics, interferometry, and the
study of fundamental physics.
