Fourier analysis and synthesis tomography.

Abstract

Most far-…eld optical imaging systems rely on a lens and spatially-resolved detection to probe distinct locations on the object. We describe and demonstrate a novel high-speed wide-…eld approach to imaging that instead measures the complex spatial Fourier transform of the object by detecting its spatially-integrated response to dynamic acousto-optically synthesized structured illumination. Tomographic …ltered backprojection is applied to reconstruct the object in two or three dimensions. This technique decouples depth-of-…eld and working-distance from resolution, in contrast to conventional imaging, and can be used to image biological and synthetic structures in ‡uoresced or scattered light employing coherent or broadband illumination. We discuss the electronically programmable transfer function of the optical system and its implications for imaging dynamic processes. Finally, we present for the …rst time two-dimensional high-resolution image reconstructions demonstrating a three-orders-of-magnitude improvement in depth-of-…eld over conventional lens-based microscopy. 3Intentionally Left Blank 4 Contents