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dc.contributor.authorDarnauer, James H.
dc.date.accessioned2016-12-14T21:35:40Z
dc.date.available2016-12-14T21:35:40Z
dc.date.issued1971-02-28
dc.identifier.urihttp://hdl.handle.net/10150/621668
dc.descriptionQC 351 A7 no. 64en
dc.description.abstractGeneralized bending is a one -parameter family of changes to two curvatures and related thicknesses of a previously defined optical system consisting of spherical and plane refracting surfaces. This family of changes leaves first-order properties invariant at all other surfaces in the system. Thus, third-order aberrations at the other surfaces are also unchanged. The third-order aberrations may then be expressed as functions of independent generalized bends at different locations; therefore, simultaneous correction of several aberrations is possible. Comparison of ray fan plots for real rays through an optical system shows marked differences for various degrees and locations of generalized bending. Surfaces at which a generalized bend would make significant changes to aberrations of the original lens are easily identified. This use of generalized bending would be helpful in advanced stages of a design routine.
dc.language.isoen_USen
dc.publisherOptical Sciences Center, University of Arizona (Tucson, Arizona)en
dc.relation.ispartofseriesOptical Sciences Technical Report 64en
dc.rightsCopyright © Arizona Board of Regents
dc.subjectOptics.en
dc.subjectLenses.en
dc.titlePROPERTIES OF GENERALIZED BENDINGen_US
dc.typeTechnical Reporten
dc.description.collectioninformationThis title from the Optical Sciences Technical Reports collection is made available by the College of Optical Sciences and the University Libraries, The University of Arizona. If you have questions about titles in this collection, please contact repository@u.library.arizona.edu.
refterms.dateFOA2018-09-11T16:15:31Z
html.description.abstractGeneralized bending is a one -parameter family of changes to two curvatures and related thicknesses of a previously defined optical system consisting of spherical and plane refracting surfaces. This family of changes leaves first-order properties invariant at all other surfaces in the system. Thus, third-order aberrations at the other surfaces are also unchanged. The third-order aberrations may then be expressed as functions of independent generalized bends at different locations; therefore, simultaneous correction of several aberrations is possible. Comparison of ray fan plots for real rays through an optical system shows marked differences for various degrees and locations of generalized bending. Surfaces at which a generalized bend would make significant changes to aberrations of the original lens are easily identified. This use of generalized bending would be helpful in advanced stages of a design routine.


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