### Abstract

Original language | English |
---|---|

Pages (from-to) | 720-731 |

Journal | IMA Journal of Applied Mathematics |

Volume | 75 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2010 |

MoE publication type | A1 Journal article-refereed |

### Fingerprint

### Keywords

- image system
- multilayer sphere
- conductivity
- surface potential

### Cite this

*IMA Journal of Applied Mathematics*,

*75*(5), 720-731. https://doi.org/10.1093/imamat/hxq031

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*IMA Journal of Applied Mathematics*, vol. 75, no. 5, pp. 720-731. https://doi.org/10.1093/imamat/hxq031

**Image distribution and surface potential of a dipole in a one-shell conducting sphere.** / Sten, Johan (Corresponding Author); Dassios, George.

Research output: Contribution to journal › Article › Scientific › peer-review

TY - JOUR

T1 - Image distribution and surface potential of a dipole in a one-shell conducting sphere

AU - Sten, Johan

AU - Dassios, George

PY - 2010

Y1 - 2010

N2 - An image solution to account for the static electric field on the surface of a one-shell conducting sphere with an internal source, relevant for example to the electroencephalography problem for a spherical model of the human head, is derived and analysed. The image of a point dipole is found to contain a series of point dipoles and a piecewise continuous distribution of dipoles along the line segment between the source point and the centre of the sphere. These image line sources obey simple power and logarithmic laws of the position. As it turns out that the image dipole distribution is similar for a source dipole of any direction, the expression for the image-based surface potential takes a simple and manageable form.

AB - An image solution to account for the static electric field on the surface of a one-shell conducting sphere with an internal source, relevant for example to the electroencephalography problem for a spherical model of the human head, is derived and analysed. The image of a point dipole is found to contain a series of point dipoles and a piecewise continuous distribution of dipoles along the line segment between the source point and the centre of the sphere. These image line sources obey simple power and logarithmic laws of the position. As it turns out that the image dipole distribution is similar for a source dipole of any direction, the expression for the image-based surface potential takes a simple and manageable form.

KW - image system

KW - multilayer sphere

KW - conductivity

KW - surface potential

U2 - 10.1093/imamat/hxq031

DO - 10.1093/imamat/hxq031

M3 - Article

VL - 75

SP - 720

EP - 731

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

SN - 0272-4960

IS - 5

ER -