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mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: inverse electromagnetic scattering problem for a spatially homogeneous, dispersive and dissipative medium
  name:
    name part: Bui, Dat Duc
    name part: 1965-
    role:
      role term: creator
  name:
    name part: Albanese, Richard
    role:
      role term: degree committee member.
  name:
    name part: Morgan, Jeff
    role:
      role term: degree committee member.
  name:
    name part: Nelson, Paul
    role:
      role term: degree supervisor.
  name:
    name part: Rundell, William
    role:
      role term: degree committee member.
  name:
    name part: Zhang, Jun
    role:
      role term: degree committee member.
  name:
    name part: Zhou, Jianxing
    role:
      role term: degree committee member.
  name:
    name part: Texas A & M University
    role:
      role term: degree granting institution.
  type of resource: text
  genre: bibliography
  genre: Academic theses
  origin info:
    place:
      place term: xx
    date issued: 1993
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: ix, 107 leaves : illustrations ; 28 cm
  abstract: The study of the inverse scattering problem for electromagnetic waves, especially under consideration of such realistic effects as spatial inhomogeniety, dispersion, dissipativity and multiple spatial dimensions, is based on the use of such scattering waves for probing the interior of systems not readily accessible to direct examination (e.g., biological systems). The significant biological interest is concerned with the absorption and dissipation of nonionizing radiation in living organisms. As a result, one is interested in knowing the electrical properties (e.g., the dielectric constants and conductivities) of the living tissue. However, it is well known that both the dielectric constant and the conductance (i.e., the displacement and conduction current susceptibilities) are frequency dependent because living tissue is composed largely of water. In this dissertation, we will consider a method for solving the direct and inverse scattering of electromagnetic waves in the time domain for spatially homogeneous media in which both the displacement susceptibility kernel and the conduction current susceptibility kernel of the medium are time dependent. The method is based on the invariant imbedding techniques. The idea is to derive a set of nonlinear integrodifferential equations relating the displacement susceptibility and conduction current susceptibility kernels to the scattering operators (i.e., reflection and transmission operators). From these nonlinear integrodifferential equations, we will prove theorems for the existence, uniqueness and continuous dependence on data for the direct and inverse scattering problems for both the semi-infinite medium and the finite slab. For the inverse scattering problem, we obtain an equivalent nonlinear Volterra equation of the second kind. Numerical results are given for both the direct and inverse scattering problems. Finally, the extension of the inverse scattering problem to a higher dimensional case for a vertical magnetic d…
  note: "Major subject: Mathematics."
  note: Vita.
  note: Ph. D. Texas A & M University 1993
  note: Includes bibliographical references.
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Electromagnetic waves
    topic: Scattering
  subject:
    topic: Inverse problems (Differential equations)
  subject:
    topic: Major mathematics
  identifier: http://proxy.library.tamu.edu/login
  identifier: https://hdl.handle.net/1969.1/DISSERTATIONS-1477321
  identifier: http://gateway.proquest.com/openurl
  related item:
    location:
      url: http://proxy.library.tamu.edu/login
  related item:
    location:
      url: https://hdl.handle.net/1969.1/DISSERTATIONS-1477321
  related item:
    location:
      url: http://gateway.proquest.com/openurl
  record info:
    record content source: TXA
    record creation date: 950510
    record change date: 20220103134910.0
    record identifier: in00001237952
    language of cataloging:
      language term: eng