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Proceedings Paper

Simplified Method For Calculating Encircled Energy
Author(s): J V Baliga; B D Cohn
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Paper Abstract

A simple method for calculating encircled energy is presented which is valid for circular extended objects imaged by systems with circular or annular apertures. The system may be diffraction limited or have an MTF which is circularly symmetric. Previously published papers have required nested double integrals to obtain results. This new method takes advantage of symmetry and properties of the Fourier Transform to reduce the problem to one single integral. Because the MTF of an optical system always has a cut-off frequency the integration limits of the remaining zero order Hankel Transform are finite speeding the calculation further. With this new algorithm computation times have been reduced significantly while accuracy has been improved.

Paper Details

Date Published: 9 June 1988
PDF: 5 pages
Proc. SPIE 0892, Simulation and Modeling of Optical Systems, (9 June 1988); doi: 10.1117/12.944334
Show Author Affiliations
J V Baliga, ITT Aerospace (United States)
B D Cohn, ITT Aerospace (United States)


Published in SPIE Proceedings Vol. 0892:
Simulation and Modeling of Optical Systems
Robert E. Fischer; Donald C. O'Shea, Editor(s)

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