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Proceedings Paper

Linear decomposition of the optical transfer function for annular pupils
Author(s): Jim Schwiegerling
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Paper Abstract

A technique for decomposing the Optical Transfer Function (OTF) into a novel set of basis functions has been developed. The decomposition provides insight into the performance of optical systems containing both wavefront error and apodization, as well as the interactions between the various components of the pupil function. Previously, this technique has been applied to systems with circular pupils with both uniform illumination and Gaussian apodization. Here, systems with annular pupils are explored. In cases of annular pupil with simple defocus, analytic expressions for the OTF decomposition coefficients can be calculated. The annular case is not only applicable to optical systems with central obscurations, but the technique can be extended to systems with multiple ring structures. The ring structures can have constant area as is often found in zone plates and diffractive lenses or the rings can have arbitrary areas. Analytic expressions for the OTF decomposition coefficients again can be determined for ring structures with constant and quadratic phase variations. The OTF decomposition provides a general tool to analyze and compare a diverse set of optical systems.

Paper Details

Date Published: 23 August 2017
PDF: 5 pages
Proc. SPIE 10375, Current Developments in Lens Design and Optical Engineering XVIII, 103750F (23 August 2017); doi: 10.1117/12.2274788
Show Author Affiliations
Jim Schwiegerling, College of Optical Sciences, The Univ. of Arizona (United States)

Published in SPIE Proceedings Vol. 10375:
Current Developments in Lens Design and Optical Engineering XVIII
R. Barry Johnson; Virendra N. Mahajan; Simon Thibault, Editor(s)

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