We present a novel illumination control technique for optical diffractiontomography (ODT). Various spatial frequencies of beam illumination werecontrolled by displaying time-averaged sinusoidal patterns using a digitalmicromirror device (DMD). Compared to the previous method using binary Leeholograms, the present method eliminates unwanted diffracted beams which maydeteriorate the image quality of the ODT. We demonstrated the capability of thepresent method by reconstructing three-dimensional refractive index (RI)distributions of various samples, with high RI sensitivity (\sigma_\Delta n =3.15 +/- 10-4), and reconstructing 3-D RI tomograms of biological samples,which provided quantitative biochemical and morphological information about thesamples.
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