Abstract

Imaging systems with noncentrally obscured circular pupils are considered, and expressions for the point-spread function, encircled energy, and the optical transfer function are obtained. It is shown that at image points which lie within the Airy circle, a noncentral obscuration yields higher or equal irradiance compared to a central obscuration, and consequently a higher concentration of energy near the image center. In general, a noncentral obscuration, compared to a central one, increases the transfer function at low intermediate spatial frequencies and decreases it at high intermediate frequencies; at very low and very high frequencies the transfer function is the same in both cases. Numerical results for pupils with linear obscuration ratios of 0.25, 0.50, and 0.75 are presented.

© 1978 Optical Society of America

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