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PROPERTIES OF GENERALIZED BENDING

QC 351 A7 no. 64 / Generalized 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.

Identiferoai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621668
Date28 February 1971
CreatorsDarnauer, James H.
PublisherOptical Sciences Center, University of Arizona (Tucson, Arizona)
Source SetsUniversity of Arizona
Languageen_US
Detected LanguageEnglish
TypeTechnical Report
RightsCopyright © Arizona Board of Regents
RelationOptical Sciences Technical Report 64

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