Active Control of Exterior Wavefields and Applications

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dc.contributor.advisorOnofrei, Daniel
dc.contributor.committeeMemberMang, Andreas
dc.contributor.committeeMemberOtt, William
dc.contributor.committeeMemberChen, Jiefu
dc.creatorEgarguin, Neil Jerome A.
dc.creator.orcid0000-0003-4902-6431
dc.date.accessioned2022-06-29T23:22:37Z
dc.date.createdMay 2021
dc.date.issued2021-05
dc.date.submittedMay 2021
dc.date.updated2022-06-29T23:22:38Z
dc.description.abstractBroadly speaking, this dissertation is centered on developing a mathematical understanding of wave phenomena in acoustics and electromagnetism towards the design of numerically stable methods for their active control. More specifically, it is focused on the study of constructive schemes for the active manipulation of fields satisfying the scalar or vector Helmholtz equation, or Maxwell's equations. This includes the theoretical analysis of these equations supported by numerical simulations in various geometrical settings. We studied the control of Helmholtz fields in three environments, namely, in free space, in a homogeneous ocean and in a two-layered ocean with constant depth. In the first two, we developed a strategy for a near field control with a simultaneous multi-directional far field control. On the other hand, we worked on the control of electromagnetic waves only in a homogeneous environment, but included several dynamic applications and passive control strategies. In each of these areas, we included a detailed theoretical analysis and a multitude of numerical experiments. The theoretical analysis resulted to existence and stability results for the arising inverse problems. To illustrate and numerically validate these results, we used a method of moments employing a Tikhonov regularization routine coupled with the Morozov discrepancy principle.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10657/10203
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectacoustic control
dc.subjectEM control
dc.subjectTikhonov regularization
dc.subjectEM decoy
dc.subjectacoustic field synthesis
dc.subjectEM field synthesis
dc.titleActive Control of Exterior Wavefields and Applications
dc.type.dcmiText
dc.type.genreThesis
local.embargo.lift2023-05-01
local.embargo.terms2023-05-01
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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