### Abstract

It is shown that has two components, in general, the magnetic field: the vortex and potential. Therefore, for a complete description of the magnetic field should be used four-dimensional vector. Potential magnetic field is detected, for example, when considering an individual charged particle. It also creates a line of finite length and current multi-loop electrical systems. It is shown that the calibration of Coulomb and Lorentz are partial relations and applicable only for an infinite linear current and secluded closed loop with current. Without the use of the Lorentz gauge of wave equations, the differential equations of generalized electrodynamics. These equations describe how the vortex and potential electromagnetic processes. This approach corresponds to the Helmholtz theorem and allows you to build a complete and consistent theory of the electromagnetic field.

Original language | English |
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Title of host publication | 2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017 |

Editors | Weng Cho Chew, Sailing He, Sailing He |

Publisher | Electromagnetics Academy |

Pages | 1414-1420 |

Number of pages | 7 |

ISBN (Electronic) | 9781509062690 |

DOIs | |

Publication status | Published - 22 May 2017 |

Event | 2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017 - St. Petersburg, Russian Federation Duration: 22 May 2017 → 25 May 2017 |

### Conference

Conference | 2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017 |
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Country | Russian Federation |

City | St. Petersburg |

Period | 22.5.17 → 25.5.17 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017*(pp. 1414-1420). Electromagnetics Academy. https://doi.org/10.1109/PIERS.2017.8261969

**Four-dimensional electromagnetic field theory.** / Tomilin, A. K.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017.*Electromagnetics Academy, pp. 1414-1420, 2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017, St. Petersburg, Russian Federation, 22.5.17. https://doi.org/10.1109/PIERS.2017.8261969

}

TY - GEN

T1 - Four-dimensional electromagnetic field theory

AU - Tomilin, A. K.

PY - 2017/5/22

Y1 - 2017/5/22

N2 - It is shown that has two components, in general, the magnetic field: the vortex and potential. Therefore, for a complete description of the magnetic field should be used four-dimensional vector. Potential magnetic field is detected, for example, when considering an individual charged particle. It also creates a line of finite length and current multi-loop electrical systems. It is shown that the calibration of Coulomb and Lorentz are partial relations and applicable only for an infinite linear current and secluded closed loop with current. Without the use of the Lorentz gauge of wave equations, the differential equations of generalized electrodynamics. These equations describe how the vortex and potential electromagnetic processes. This approach corresponds to the Helmholtz theorem and allows you to build a complete and consistent theory of the electromagnetic field.

AB - It is shown that has two components, in general, the magnetic field: the vortex and potential. Therefore, for a complete description of the magnetic field should be used four-dimensional vector. Potential magnetic field is detected, for example, when considering an individual charged particle. It also creates a line of finite length and current multi-loop electrical systems. It is shown that the calibration of Coulomb and Lorentz are partial relations and applicable only for an infinite linear current and secluded closed loop with current. Without the use of the Lorentz gauge of wave equations, the differential equations of generalized electrodynamics. These equations describe how the vortex and potential electromagnetic processes. This approach corresponds to the Helmholtz theorem and allows you to build a complete and consistent theory of the electromagnetic field.

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U2 - 10.1109/PIERS.2017.8261969

DO - 10.1109/PIERS.2017.8261969

M3 - Conference contribution

SP - 1414

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BT - 2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017

A2 - Chew, Weng Cho

A2 - He, Sailing

A2 - He, Sailing

PB - Electromagnetics Academy

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