Simplified Method For Calculating Encircled Energy

J V Baliga; B D Cohn

doi:10.1117/12.944334

9 June 1988 Simplified Method For Calculating Encircled Energy

J V Baliga, B D Cohn

Proceedings Volume 0892, Simulation and Modeling of Optical Systems; (1988) https://doi.org/10.1117/12.944334
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

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.

Citation Download Citation

J V Baliga and B D Cohn "Simplified Method For Calculating Encircled Energy", Proc. SPIE 0892, Simulation and Modeling of Optical Systems, (9 June 1988); https://doi.org/10.1117/12.944334

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