The techniques and tolerancing required for phasing hexagonally-configured synthetic aperture imaging systems

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Imaging Techniques, Phased Arrays, Spectroscopic Telescopes, Errors, Synthetic Arrays, Tolerances (Mechanics)

Scientific paper

A practical technique is developed for the phased operation of a hexagonally-configured synthetic-aperture imaging system. This system consists of six identical circular sub-apertures, centered on the apexes of a regular hexagon, and is capable of achieving a spatial resolution nearly equal to that of an equivalent single-aperture system. Phased and nonphased images are compared with each other and with images produced by the equivalent single-aperture system. Independent afocal telescopes show the most promise for phased operation in the visible and near infrared regions of the spectrum. Basic geometry requirements are examined, and tolerance limits are obtained for piston error, tilt, decenter, atmospheric turbulence, and such support-system errors as gravity-induced sag and warping. The tolerance limit for any single error, or combination of errors, is established when the cross-correlation of the diffraction-limited impulse response and the aberrated impulse response falls to a specific value.

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