The Field Of A Step–Like Accelerated Point Charge: Liénard–Wiechert Potentials And Čerenkov Shock Waves Revisited

Šumichrast, L’ubomír

doi:10.2478/jee-2015-0052

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The Field Of A Step–Like Accelerated Point Charge: Liénard–Wiechert Potentials And Čerenkov Shock Waves Revisited

Journal of Electrical Engineering

Volume 66 (2015): Issue 6 (November 2015)

By: L’ubomír Šumichrast

Open Access

|Dec 2015

Abstract

Scalar and vector potential as well as the electromagnetic field of a moving point charge is a nice example how the application of symbolic functions (distributions) in electromagnetics makes it easier to obtain and interpret solutions of otherwise hardly solvable problems.

References

[1] TRALLI, N. : Classical Electromagnetic Theory, McGraw Hill, New York, 1963.
Search in Google Scholar
[2] PANOFSKY, W. K.—PHILIPS, M. : Classical Electricity and Magnetism, Addison Wesley, Cambridge, 1955.
Search in Google Scholar
[3] JACKSON, J. D. : Classical Electrodynamics, Wiley, New York, 1962.10.1063/1.3057859
Search in Google Scholar
[4] LANDAU, L.—LIFŠIC, E. M. : Torija polja, GIFML, Moskva, 1962.
Search in Google Scholar
[5] ŠUMICHRAST, L’. : Unified Approach to the Impulse Response and Green Function in the Circuit and Field Theory. Part II. Multi-Dimensional Case, JEEC 63 No. 6 (2012), 341–348.
Search in Google Scholar
[6] GRADŠTEJN, I. S.—RYŽIK, I. M. : Tablicy integralov, summ, rjadov i proizvedenij, GIFML, Moskva, 1963.
Search in Google Scholar
[7] ERDÉLYI, A. et al : Tables of Integral Transforms, vol. 2, McGraw Hill, New York, 1954.
Search in Google Scholar
[8] ŠUMICHRAST L’ : Field of moving point charge - application of generalized functions in the field theory (Pole pohybujúceho sa bodového náboja - aplikácia zovšeobecnených funkcií v teórii pol’a), Elektrotech. čas. 35 No. 10 (1984), 777–788. (in Slovak)
Search in Google Scholar

DOI: https://doi.org/10.2478/jee-2015-0052 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632

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Language: English

Page range: 317 - 322

Submitted on: Feb 17, 2015

Published on: Dec 5, 2015

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 6 issues per year

Keywords:

scalar potential,

vector potential

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2015 L’ubomír Šumichrast, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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