Abstract

The encircled energy is computed for large f/No. aberration-free annular aperture systems with linear obscuration ratios between 0.0 and 0.9. The computations are based on an algorithm due to Hopkins. The results are displayed graphically as contour lines showing the fraction of the total energy which falls within small circles centered on the optical axis in selected receiving planes parallel to the geometric focal plane.

© 1982 Optical Society of America

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

Louis M. Beyer and Lavern C. Clune
Appl. Opt. 27(24) 5067-5071 (1988)

Included power for obscured circular pupils

Virendra N. Mahajan
Appl. Opt. 17(6) 964-968 (1978)

Imaging with noncentrally obscured circular pupils

Virendra N. Mahajan
J. Opt. Soc. Am. 68(6) 742-749 (1978)

Encircled energy in systems with truncated-Gaussian apertures of different Fresnel numbers. I. Generalization of the Q_2n function of E. Wolf and the Y_n function of H. H. Hopkins

Yajun Li
J. Opt. Soc. Am. A 24(7) 2023-2032 (2007)

Diffracted electromagnetic fields in the neighborhood of the focus of a paraboloidal mirror having a central obscuration

Richard Barakat
Appl. Opt. 26(18) 3790-3795 (1987)