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dc.contributor.authorSchwiegerling, Jim
dc.date.accessioned2018-01-31T19:01:04Z
dc.date.available2018-01-31T19:01:04Z
dc.date.issued2017-08-23
dc.identifier.citationJim Schwiegerling, "Linear decomposition of the optical transfer function for annular pupils", Proc. SPIE 10375, Current Developments in Lens Design and Optical Engineering XVIII, 103750F (23 August 2017); doi: 10.1117/12.2274788; http://dx.doi.org/10.1117/12.2274788en
dc.identifier.issn0277-786X
dc.identifier.doi10.1117/12.2274788
dc.identifier.urihttp://hdl.handle.net/10150/626490
dc.description.abstractA 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.
dc.language.isoenen
dc.publisherSPIE-INT SOC OPTICAL ENGINEERINGen
dc.relation.urlhttps://www.spiedigitallibrary.org/conference-proceedings-of-spie/10375/2274788/Linear-decomposition-of-the-optical-transfer-function-for-annular-pupils/10.1117/12.2274788.fullen
dc.rights© 2017 SPIE.en
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectOptical Transfer Functionen
dc.subjectModulation Transfer Functionen
dc.subjectAnnular Pupilsen
dc.subjectMathematicsen
dc.subjectDecompositionen
dc.titleLinear decomposition of the optical transfer function for annular pupilsen
dc.typeArticleen
dc.identifier.eissn1996-756X
dc.contributor.departmentUniv Arizona, Coll Opt Scien
dc.identifier.journalCURRENT DEVELOPMENTS IN LENS DESIGN AND OPTICAL ENGINEERING XVIIIen
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en
dc.eprint.versionFinal published versionen
refterms.dateFOA2018-09-12T01:11:14Z
html.description.abstractA 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.


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