The generalized Goodwin-Staton integral

D. S. Jones

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    The surface impedance observed by a plane TE-wave impinging on a coated right-angled perfectly conducting wedge is derived for a high contrast dissipative coating. The impedance proves to be constant ove rmost of the surface of the coating. The value of the constant agrees with that obtained when the coating is placed on an infinite perfectly conducting plane. Near the edge of the coating, however, the impedance is not invariable. Both the magnitude and phase can deviate substantially from their asymptotic values; also they change with the angle of incidence of the irradiating wave. The region of variability depends on the amount of absorption but does not exceed a free-space wavelength for the cases considered.
    Original languageEnglish
    Pages (from-to)635-650
    Number of pages16
    JournalJournal of Engineering Mathematics
    Volume48
    Issue number3
    DOIs
    Publication statusPublished - 2005

    Fingerprint

    Coating
    Impedance
    Coatings
    Free Space
    Wedge
    Plane Wave
    Incidence
    Exceed
    Absorption
    Wavelength
    Angle

    Keywords

    • Primary 30E15
    • Goodwin–Staton integral
    • Asymptotics
    • Stieltjes transform

    Cite this

    Jones, D. S. / The generalized Goodwin-Staton integral. In: Journal of Engineering Mathematics. 2005 ; Vol. 48, No. 3. pp. 635-650.
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    The generalized Goodwin-Staton integral. / Jones, D. S.

    In: Journal of Engineering Mathematics, Vol. 48, No. 3, 2005, p. 635-650.

    Research output: Contribution to journalArticle

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    KW - Goodwin–Staton integral

    KW - Asymptotics

    KW - Stieltjes transform

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