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Proceedings Paper

Procedures for speeding up the exact evaluation of diffraction integrals by semiperiodic-zone division of the integration domain
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Paper Abstract

We develop a method for the calculation of the integrals arising in the diffraction theory of aberrations. This method is developed from in a previous one based in the division of the diffracting aperture in semiperiodic zones, which enabled the exact calculation of the Point-Spread Function of an optical system. By a careful analysis of the integration process and of the properties of the semiperiodic zones, we develop a set of formulae that give an approximate value of the result of the diffraction integrals. This permits to avoid the numerical calculation of the integrals, which is a computationally intensive procedure and enables a substantial reduction of the computation times. The method has been tested on aberration-free optical systems and real optical systems and has shown a good accuracy, although some minor problems require further investigation.

Paper Details

Date Published: 14 October 2004
PDF: 12 pages
Proc. SPIE 5523, Current Developments in Lens Design and Optical Engineering V, (14 October 2004); doi: 10.1117/12.559408
Show Author Affiliations
Josep Ferre-Borrull, Univ. Rovira i Virgili (Spain)
Salvador Bosch, Univ. de Barcelona (Spain)


Published in SPIE Proceedings Vol. 5523:
Current Developments in Lens Design and Optical Engineering V
Pantazis Z. Mouroulis; Warren J. Smith; R. Barry Johnson, Editor(s)

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