Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2

Masud Mansuripur

doi:10.1117/12.2511214

Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2

Masud Mansuripur

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

2 Scopus citations

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)
Title of host publication	Quantum Sensing and Nano Electronics and Photonics XVI
Editors	Manijeh Razeghi, Jay S. Lewis, Eric Tournie, Giti A. Khodaparast
Publisher	SPIE
ISBN (Electronic)	9781510624948
DOIs	https://doi.org/10.1117/12.2511214
State	Published - 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
Volume	10926
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Quantum Sensing and Nano Electronics and Photonics XVI 2019
Country/Territory	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

Access to Document

10.1117/12.2511214

Cite this

Mansuripur, M. (2019). Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2. In M. Razeghi, J. S. Lewis, E. Tournie, & G. A. Khodaparast (Eds.), Quantum Sensing and Nano Electronics and Photonics XVI Article 109260O (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10926). SPIE. https://doi.org/10.1117/12.2511214

Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2. / Mansuripur, Masud.
Quantum Sensing and Nano Electronics and Photonics XVI. ed. / Manijeh Razeghi; Jay S. Lewis; Eric Tournie; Giti A. Khodaparast. SPIE, 2019. 109260O (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10926).

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

Mansuripur, M 2019, Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2. in M Razeghi, JS Lewis, E Tournie & GA Khodaparast (eds), Quantum Sensing and Nano Electronics and Photonics XVI., 109260O, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10926, SPIE, Quantum Sensing and Nano Electronics and Photonics XVI 2019, San Francisco, United States, 2/3/19. https://doi.org/10.1117/12.2511214

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AB - 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.

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Self-field, radiated energy, and radiated linear momentum of an accelerated point charge: Part 2

Abstract

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