### Abstract

Working within the framework of the classical theory of electrodynamics, we derive an exact mathematical solution to the problem of self-force (or radiation reaction) of an accelerated point-charge traveling in free space. In addition to deriving relativistic expressions for self electromagnetic fields, we obtain exact formulas for the rates of radiated energy and linear momentum without the need to renormalize the particle's mass - or to discard undesirable infinities. The relativistic expression of self-force known as the Abraham- Lorentz-Dirac equation is derived in two different ways. Certain properties of the self-force are examined, and an approximate formula for the self-force, first proposed by Landau and Lifshitz, is discussed in some detail.

Original language | English (US) |
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Title of host publication | Quantum Sensing and Nano Electronics and Photonics XVI |

Editors | Manijeh Razeghi, Giti A. Khodaparast, Jay S. Lewis, Eric Tournie |

Publisher | SPIE |

ISBN (Electronic) | 9781510624948 |

DOIs | |

State | Published - Jan 1 2019 |

Event | Quantum Sensing and Nano Electronics and Photonics XVI 2019 - San Francisco, United States Duration: Feb 3 2019 → Feb 7 2019 |

### Publication series

Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 10926 |

ISSN (Print) | 0277-786X |

ISSN (Electronic) | 1996-756X |

### Conference

Conference | Quantum Sensing and Nano Electronics and Photonics XVI 2019 |
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Country | United States |

City | San Francisco |

Period | 2/3/19 → 2/7/19 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

## Fingerprint Dive into the research topics of 'Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2'. Together they form a unique fingerprint.

## Cite this

*Quantum Sensing and Nano Electronics and Photonics XVI*[109260O] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10926). SPIE. https://doi.org/10.1117/12.2511214