Dilute aperture diffraction imagery and object reconstruction

Mathematics – Combinatorics

Scientific paper

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Diffraction Patterns, Image Processing, Imaging Techniques, Linear Arrays, Synthetic Apertures, Optical Transfer Function, Synthetic Aperture Radar, Telescopes

Scientific paper

Replacement of a large continuous aperture by a set of small apertures offers a number of advantages if the subapertures can be placed within the array so as to achieve minimal spatial frequency redundancy. Using an approach based on combinatorics and integer programming, solutions are found for a linear array for N (number of subapertures) up to eight. The diffraction images of extended incoherent objects for these optimum arrays are calculated. Inversion techniques to determine the object intensity from the diffraction images are discussed.

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