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

Approximate scaling relationships of light diffraction by apertures with complicated shapes

I. M. Sizova
Appl. Opt. 31(28) 5930-5936 (1992)

Accurate calculation of diffraction-limited encircled and ensquared energy

Torben B. Andersen
Appl. Opt. 54(25) 7525-7533 (2015)

Encircled energy for systems with centrally obscured circular pupils

Jakob J. Stamnes, Halvor Heier, and Stefan Ljunggren
Appl. Opt. 21(9) 1628-1633 (1982)

Intensity and encircled energy for circular pupils obscured by strut supported central obscurations

Louis M. Beyer and Lavern C. Clune
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Focusing and the optical transfer function in a rotationally symmetric optical system

Radim Chmelík
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