### Abstract

The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of magnetic field of the dipole are known. The position of the dipole and its Fourier components are considered as the unknown quantities. It is assumed that relative increments of amplitude and phase of magnetic field in the vicinity of the observation point are known. The derived results can be used for study of phenomena concerned with occurrence and variation of localized electric charge distribution, when the position and the dynamics of a localized source of electromagnetic field are to be defined.

Original language | English |
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Pages (from-to) | 625-640 |

Number of pages | 16 |

Journal | Inverse Problems in Science and Engineering |

Volume | 22 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1 May 2014 |

### Fingerprint

### Keywords

- charge
- dipole
- electromagnetic field
- inverse problem
- spectrum

### ASJC Scopus subject areas

- Engineering(all)
- Computer Science Applications
- Applied Mathematics

### Cite this

**Spectral approach to the inverse problem for the field of arbitrary changing electric dipole.** / Epp, V.; Janz, J. G.

Research output: Contribution to journal › Article

*Inverse Problems in Science and Engineering*, vol. 22, no. 4, pp. 625-640. https://doi.org/10.1080/17415977.2013.829465

}

TY - JOUR

T1 - Spectral approach to the inverse problem for the field of arbitrary changing electric dipole

AU - Epp, V.

AU - Janz, J. G.

PY - 2014/5/1

Y1 - 2014/5/1

N2 - The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of magnetic field of the dipole are known. The position of the dipole and its Fourier components are considered as the unknown quantities. It is assumed that relative increments of amplitude and phase of magnetic field in the vicinity of the observation point are known. The derived results can be used for study of phenomena concerned with occurrence and variation of localized electric charge distribution, when the position and the dynamics of a localized source of electromagnetic field are to be defined.

AB - The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of magnetic field of the dipole are known. The position of the dipole and its Fourier components are considered as the unknown quantities. It is assumed that relative increments of amplitude and phase of magnetic field in the vicinity of the observation point are known. The derived results can be used for study of phenomena concerned with occurrence and variation of localized electric charge distribution, when the position and the dynamics of a localized source of electromagnetic field are to be defined.

KW - charge

KW - dipole

KW - electromagnetic field

KW - inverse problem

KW - spectrum

UR - http://www.scopus.com/inward/record.url?scp=84893784595&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893784595&partnerID=8YFLogxK

U2 - 10.1080/17415977.2013.829465

DO - 10.1080/17415977.2013.829465

M3 - Article

VL - 22

SP - 625

EP - 640

JO - Inverse Problems in Science and Engineering

JF - Inverse Problems in Science and Engineering

SN - 1741-5977

IS - 4

ER -