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Asymptotic approximation to the encircled energy function for arbitrary aperture shapes

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Abstract

Encircled energy can be easily estimated for imaging systems with oddly shaped apertures using a simple asymptotic approximation formula. A useful tool for the optical system designer, it linearly relates the encircled energy to the perimeter-to-area ratio of the aperture. Comparisons made with numerical calculations show that it is usefully accurate for circles in the focal plane as small in radius as λf #.

© 1984 Optical Society of America

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