A comparison among localized approximations in one-dimensional profile reconstruction

Persistent Link:
http://hdl.handle.net/10150/290647
Title:
A comparison among localized approximations in one-dimensional profile reconstruction
Author:
Adopley, Jacob Absolute Kwasi
Issue Date:
1996
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:
We use the localized approximation and some modified versions of the localized approximation to study the electromagnetic field interaction of a plane wave with a slab of complex permittivity. The approximation as originally proposed is based on the localization property of the appropriate Green's function and the smooth variation of the internal field. In our one-dimensional case, the Green's function singularity degenerates into a localized peak. We apply two iterative techniques to the localized procedure in order to better simulate the internal fields. The first technique involves iterating the governing equation once before adopting the localized approximation, while the second technique involves iterating the localized approximation once. A study of other approximations based on the Born approximation is also included. In addition we present a generalization of the localized approximation using the Extended-Born approximation. We compare and contrast the performance of the various approximations in simulating the internal and external fields numerically. The localized approximation and the two modified versions are next used in one-dimensional profile reconstruction based on a least-structured version of the least-squares inversion method. We compare and contrast the performance of the approximations in profile reconstruction. A noticeable consequence of these modifications is an aggravation of the nonlinearity in the inverse problem. We investigate the consequences of this aggravation. We conclude with the introduction of a three-dimensional version of the localized approximation, the exploitation of which we leave for future work.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Engineering, Electronics and Electrical.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Electrical and Computer Engineering
Degree Grantor:
University of Arizona
Advisor:
Dudley, Donald G.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleA comparison among localized approximations in one-dimensional profile reconstructionen_US
dc.creatorAdopley, Jacob Absolute Kwasien_US
dc.contributor.authorAdopley, Jacob Absolute Kwasien_US
dc.date.issued1996en_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.abstractWe use the localized approximation and some modified versions of the localized approximation to study the electromagnetic field interaction of a plane wave with a slab of complex permittivity. The approximation as originally proposed is based on the localization property of the appropriate Green's function and the smooth variation of the internal field. In our one-dimensional case, the Green's function singularity degenerates into a localized peak. We apply two iterative techniques to the localized procedure in order to better simulate the internal fields. The first technique involves iterating the governing equation once before adopting the localized approximation, while the second technique involves iterating the localized approximation once. A study of other approximations based on the Born approximation is also included. In addition we present a generalization of the localized approximation using the Extended-Born approximation. We compare and contrast the performance of the various approximations in simulating the internal and external fields numerically. The localized approximation and the two modified versions are next used in one-dimensional profile reconstruction based on a least-structured version of the least-squares inversion method. We compare and contrast the performance of the approximations in profile reconstruction. A noticeable consequence of these modifications is an aggravation of the nonlinearity in the inverse problem. We investigate the consequences of this aggravation. We conclude with the introduction of a three-dimensional version of the localized approximation, the exploitation of which we leave for future work.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectEngineering, Electronics and Electrical.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineElectrical and Computer Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorDudley, Donald G.en_US
dc.identifier.proquest9720565en_US
dc.identifier.bibrecord.b34498564en_US
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