### 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 |
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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 1 |

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### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

*IEEE Transactions on Magnetics*,

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