Interaction between a transient plane wave and a conductive half-space.

Persistent Link:
http://hdl.handle.net/10150/187405
Title:
Interaction between a transient plane wave and a conductive half-space.
Author:
Pao, Hsueh-Yuan.
Issue Date:
1995
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:
A method which allows for the analytical evaluation of the interaction between a transient plane wave and a conductive half-space is presented. We assume that an electromagnetic plane wave is obliquely incident on a conducting half-space, which is modeled by a frequency independent permittivity and conductivity. The general case of the electromagnetic plane wave is divided into two polarizations: transverse electric (TE) and transverse magnetic (TM). The time-domain expressions for the reflected and transmitted waves are first represented as inverse Laplace transforms. The transient fields are then shown to consist of two canonical integrals, f(β) and e(β)The canonical integrals, in turn, are solved analytically, thereby yielding closed-form solutions involving incomplete Lipschitz-Hankel integrals (ILHIs). The ILHIs are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The exact, closed-form expressions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform algorithms. An asymptotic series representation for the ILHIs is then employed to obtain a relatively simple late-time approximation for the transient fields. This approximate late-time expression is shown to accurately model the fields over a large portion of their time history. The closed-form transient field expressions are used to investigate the effects of neglecting displacement currents when studying transient wave propagation in the conductive half-space. The diffusion fields are found to yield accurate results at late times.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Electrical and Computer Engineering; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Dvorak, Steven

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleInteraction between a transient plane wave and a conductive half-space.en_US
dc.creatorPao, Hsueh-Yuan.en_US
dc.contributor.authorPao, Hsueh-Yuan.en_US
dc.date.issued1995en_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.abstractA method which allows for the analytical evaluation of the interaction between a transient plane wave and a conductive half-space is presented. We assume that an electromagnetic plane wave is obliquely incident on a conducting half-space, which is modeled by a frequency independent permittivity and conductivity. The general case of the electromagnetic plane wave is divided into two polarizations: transverse electric (TE) and transverse magnetic (TM). The time-domain expressions for the reflected and transmitted waves are first represented as inverse Laplace transforms. The transient fields are then shown to consist of two canonical integrals, f(β) and e(β)The canonical integrals, in turn, are solved analytically, thereby yielding closed-form solutions involving incomplete Lipschitz-Hankel integrals (ILHIs). The ILHIs are computed numerically using efficient convergent and asymptotic series expansions, thus enabling the efficient computation of the transient fields. The exact, closed-form expressions are verified by comparing with previously published results and with results obtained using standard numerical integration and fast Fourier transform algorithms. An asymptotic series representation for the ILHIs is then employed to obtain a relatively simple late-time approximation for the transient fields. This approximate late-time expression is shown to accurately model the fields over a large portion of their time history. The closed-form transient field expressions are used to investigate the effects of neglecting displacement currents when studying transient wave propagation in the conductive half-space. The diffusion fields are found to yield accurate results at late times.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineElectrical and Computer Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairDvorak, Stevenen_US
dc.contributor.committeememberDudley, Donalden_US
dc.contributor.committeememberCangellaris, Andreasen_US
dc.identifier.proquest9622980en_US
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