Reconstruction of electrodes and pole pieces from randomly generated axial potential distributions of electron and ion optical systems

Persistent Link:
http://hdl.handle.net/10150/276783
Title:
Reconstruction of electrodes and pole pieces from randomly generated axial potential distributions of electron and ion optical systems
Author:
Sarfaraz, Mohamad Ali, 1960-
Issue Date:
1988
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:
The purpose of this investigation is to examine synthesis for reconstruction of electrostatic lenses having an axial potential distribution four times continuously differentiable. The solution of the electrode and pole piece reconstruction is given. Spline functions are used to approximate a continuous function to fit a curve. The present method of synthesis is based on cubic spline functions, which have only two simultaneous continuous derivatives, and all the other higher derivatives are ignored. The fifth-order or quintic spline is introduced simply because it has four simultaneous continuous derivatives. So the reconstruction program would have three terms appearing in the series expansion of the off-axis potential distribution, with regard to two terms when using cubic functions.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Electrostatic lenses.; Spline theory.; Optical instruments -- Design.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Electrical and Computer Engineering
Degree Grantor:
University of Arizona
Advisor:
Szilagyi, M.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleReconstruction of electrodes and pole pieces from randomly generated axial potential distributions of electron and ion optical systemsen_US
dc.creatorSarfaraz, Mohamad Ali, 1960-en_US
dc.contributor.authorSarfaraz, Mohamad Ali, 1960-en_US
dc.date.issued1988en_US
dc.publisherThe University of Arizona.en_US
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_US
dc.description.abstractThe purpose of this investigation is to examine synthesis for reconstruction of electrostatic lenses having an axial potential distribution four times continuously differentiable. The solution of the electrode and pole piece reconstruction is given. Spline functions are used to approximate a continuous function to fit a curve. The present method of synthesis is based on cubic spline functions, which have only two simultaneous continuous derivatives, and all the other higher derivatives are ignored. The fifth-order or quintic spline is introduced simply because it has four simultaneous continuous derivatives. So the reconstruction program would have three terms appearing in the series expansion of the off-axis potential distribution, with regard to two terms when using cubic functions.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectElectrostatic lenses.en_US
dc.subjectSpline theory.en_US
dc.subjectOptical instruments -- Design.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineElectrical and Computer Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorSzilagyi, M.en_US
dc.identifier.proquest1334311en_US
dc.identifier.oclc21421792en_US
dc.identifier.bibrecord.b17245229en_US
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