Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge

K. Ishibashi, Z. Andjelic, Y. Takahashi, T. Takamatsu, T. Fukuzumi, Shinji Wakao, K. Fujiwara, Y. Ishihara

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Adopting the integral representation of scalar potential due to double layer charge, we derive a boundary integral equation with one unknown to solve magnetostatic problems. The double layer charge produces a potential gap at the air-material boundary without disturbing the continuity of normal magnetic flux density and the potential gap makes the tangential component of magnetic field continuous; accordingly, the boundary conditions are fully fulfilled even with one unknown. The boundary integral equation is capable of solving the double layer charge at edges and corners. Once the double layer charge is solved, it gives directly the magnetic flux density by Biot-Savart law. In this paper, we investigate how to evaluate the magnetic flux density at the vertex.

    Original languageEnglish
    Article number6136646
    Pages (from-to)459-462
    Number of pages4
    JournalIEEE Transactions on Magnetics
    Volume48
    Issue number2
    DOIs
    Publication statusPublished - 2012 Feb

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    Boundary integral equations
    Magnetic flux
    Magnetic fields
    Magnetostatics
    Boundary conditions
    Air

    Keywords

    • Boundary integral equation
    • double layer charge
    • magnetostatic analysis
    • scalar potential
    • singular point

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Electronic, Optical and Magnetic Materials

    Cite this

    Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge. / Ishibashi, K.; Andjelic, Z.; Takahashi, Y.; Takamatsu, T.; Fukuzumi, T.; Wakao, Shinji; Fujiwara, K.; Ishihara, Y.

    In: IEEE Transactions on Magnetics, Vol. 48, No. 2, 6136646, 02.2012, p. 459-462.

    Research output: Contribution to journalArticle

    Ishibashi, K, Andjelic, Z, Takahashi, Y, Takamatsu, T, Fukuzumi, T, Wakao, S, Fujiwara, K & Ishihara, Y 2012, 'Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge', IEEE Transactions on Magnetics, vol. 48, no. 2, 6136646, pp. 459-462. https://doi.org/10.1109/TMAG.2011.2174777
    Ishibashi, K. ; Andjelic, Z. ; Takahashi, Y. ; Takamatsu, T. ; Fukuzumi, T. ; Wakao, Shinji ; Fujiwara, K. ; Ishihara, Y. / Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge. In: IEEE Transactions on Magnetics. 2012 ; Vol. 48, No. 2. pp. 459-462.
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