A Critique of Certain Half Plane Diffraction Analyses

When solving the diffraction problem of an electromagnetic wave incident on a half plane subject to a mixed boundary condition, the analysis can be simplified by using the field components normal to the surface. Although this is the procedure generally employed, it is shown that the Wiener-Hopf anal...

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Published inElectromagnetics Vol. 7; no. 1; pp. 81 - 90
Main Author Senior, Thomas B.A.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.1987
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Abstract When solving the diffraction problem of an electromagnetic wave incident on a half plane subject to a mixed boundary condition, the analysis can be simplified by using the field components normal to the surface. Although this is the procedure generally employed, it is shown that the Wiener-Hopf analysis may involve quantities whose edge singularities are non-integratable, and whose Fourier transforms do not exist in the classical sense. A method for overcoming the difficulty is presented.
AbstractList When solving the diffraction problem of an electromagnetic wave incident on a half plane subject to a mixed boundary condition, the analysis can be simplified by using the field components normal to the surface. Although this is the procedure generally employed, it is shown that the Wiener-Hopf analysis may involve quantities whose edge singularities are non-integratable, and whose Fourier transforms do not exist in the classical sense. A method for overcoming the difficulty is presented.
Author Senior, Thomas B.A.
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Cites_doi 10.1098/rspa.1960.0160
10.1109/TAP.1985.1143616
10.1007/BF02920043
10.1109/TAP.1986.1143904
10.1029/RS010i010p00911
10.1098/rspa.1952.0137
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References Williams W.E. (CIT0002) 1960; 257
Rojas R. G. (CIT0004) 1987
Senior T.B.A. (CIT0001) 1959; 8
Senior T.B.A. (CIT0006) 1952; 213
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  ident: CIT0004
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  year: 1960
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  doi: 10.1098/rspa.1960.0160
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  doi: 10.1109/TAP.1985.1143616
– volume: 8
  start-page: 35
  year: 1959
  ident: CIT0001
  publication-title: Appl. Sci. Res.
  doi: 10.1007/BF02920043
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  doi: 10.1109/TAP.1986.1143904
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Title A Critique of Certain Half Plane Diffraction Analyses
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