Figure-error determination from diffraction-based mathematical analysis of experimental Foucault-test data, compared with results of scatterplate interferometry

Persistent Link:
http://hdl.handle.net/10150/554991
Title:
Figure-error determination from diffraction-based mathematical analysis of experimental Foucault-test data, compared with results of scatterplate interferometry
Author:
Wilson, Robert Gale
Issue Date:
1975
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Edward H. Linfoot developed an integral expression for the irradiance in the image of a lens or mirror under the Foucault knife-edge test as a function of figure error. Samuel Katzoff developed a convenient method of inverting the linearized form of Linfoot's equation to express figure error in terms of the irradiance distribution in the image (Foucault pattern). This paper presents the results of an experimental study on a 20-centimeter-diameter f/5 spherical mirror to complement the analytical work of Linfoot and Katzoff. The results clearly affirm the practicability of the Foucault test to quantitative evaluation of figure errors of near-diffraction-limited optical elements via the Linfoot/Katzoff formulation. The evaluation was based on a comparison of Foucault-test figure error data with parallel data from independent scatterplate interferometer measurements. The results are particaularly significant in that they reveal the fallacy of the widespread regard of the Foucault test as limited to qualications for the field of optical testing, since the test is basically simple, its implementation for quantitative figure error analysis is straightforward, and the associated experiemntal data processing is much simpler than that of interferometric testing methods. The question of potential use in figure error sensing in the planned large orbital telescope seems particularly pertinent.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Linfoot, Edward H.; Katzoff, Samuel.; Foucault pattern.; Optical Science.; Optical testing.; Figure error.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Optical Science; Graduate College
Degree Grantor:
University of Arizona

Full metadata record

DC FieldValue Language
dc.language.isoen_USen
dc.titleFigure-error determination from diffraction-based mathematical analysis of experimental Foucault-test data, compared with results of scatterplate interferometryen
dc.creatorWilson, Robert Galeen
dc.contributor.authorWilson, Robert Galeen
dc.date.issued1975en
dc.publisherThe University of Arizona.en
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en
dc.description.abstractEdward H. Linfoot developed an integral expression for the irradiance in the image of a lens or mirror under the Foucault knife-edge test as a function of figure error. Samuel Katzoff developed a convenient method of inverting the linearized form of Linfoot's equation to express figure error in terms of the irradiance distribution in the image (Foucault pattern). This paper presents the results of an experimental study on a 20-centimeter-diameter f/5 spherical mirror to complement the analytical work of Linfoot and Katzoff. The results clearly affirm the practicability of the Foucault test to quantitative evaluation of figure errors of near-diffraction-limited optical elements via the Linfoot/Katzoff formulation. The evaluation was based on a comparison of Foucault-test figure error data with parallel data from independent scatterplate interferometer measurements. The results are particaularly significant in that they reveal the fallacy of the widespread regard of the Foucault test as limited to qualications for the field of optical testing, since the test is basically simple, its implementation for quantitative figure error analysis is straightforward, and the associated experiemntal data processing is much simpler than that of interferometric testing methods. The question of potential use in figure error sensing in the planned large orbital telescope seems particularly pertinent.en
dc.description.noteThis item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution images for any content in this item, please contact us at repository@u.library.arizona.edu.en
dc.typetexten
dc.typeThesis-Reproduction (electronic)en
dc.subjectLinfoot, Edward H.en
dc.subjectKatzoff, Samuel.en
dc.subjectFoucault pattern.en
dc.subjectOptical Science.en
dc.subjectOptical testing.en
dc.subjectFigure error.en
thesis.degree.nameM.S.en
thesis.degree.levelmastersen
thesis.degree.disciplineOptical Scienceen
thesis.degree.disciplineGraduate Collegeen
thesis.degree.grantorUniversity of Arizonaen
dc.identifier.oclc701104770en
dc.identifier.bibrecord.b64811785en
dc.identifier.callnumberE9791 1975 5en
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.