### 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 language | English |
---|---|

Article number | 6136646 |

Pages (from-to) | 459-462 |

Number of pages | 4 |

Journal | IEEE Transactions on Magnetics |

Volume | 48 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2012 Feb |

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### 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

*IEEE Transactions on Magnetics*,

*48*(2), 459-462. [6136646]. https://doi.org/10.1109/TMAG.2011.2174777

**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.

Research output: Contribution to journal › Article

*IEEE Transactions on Magnetics*, vol. 48, no. 2, 6136646, pp. 459-462. https://doi.org/10.1109/TMAG.2011.2174777

}

TY - JOUR

T1 - Magnetic field evaluation at vertex by boundary integral equation derived from scalar potential of double layer charge

AU - Ishibashi, K.

AU - Andjelic, Z.

AU - Takahashi, Y.

AU - Takamatsu, T.

AU - Fukuzumi, T.

AU - Wakao, Shinji

AU - Fujiwara, K.

AU - Ishihara, Y.

PY - 2012/2

Y1 - 2012/2

N2 - 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.

AB - 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.

KW - Boundary integral equation

KW - double layer charge

KW - magnetostatic analysis

KW - scalar potential

KW - singular point

UR - http://www.scopus.com/inward/record.url?scp=84856388027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856388027&partnerID=8YFLogxK

U2 - 10.1109/TMAG.2011.2174777

DO - 10.1109/TMAG.2011.2174777

M3 - Article

AN - SCOPUS:84856388027

VL - 48

SP - 459

EP - 462

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

SN - 0018-9464

IS - 2

M1 - 6136646

ER -