We explore a number of diffractive structures for simultaneous trapping of particles in photophoretic traps for free space volumetric displays. Current optical trap displays move a single particle along a complicated path; to scale displays from 1 cm^3 to 100 cm^3 we aim to move multiple particles along a simple path. Preliminary results for two diffractive approaches are reported: i) a low-order binary grating, and ii) a Fresnel lens. Results are given for trap rate (N=50) for carbon particles at standard pressure and temperature.
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