Parametric solution of the retardation equation in electrodynamics on one-dimensional manifolds

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00390497" target="_blank" >RIV/68407700:21340/25:00390497 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1088/1742-6596/3152/1/012031" target="_blank" >http://dx.doi.org/10.1088/1742-6596/3152/1/012031</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1742-6596/3152/1/012031" target="_blank" >10.1088/1742-6596/3152/1/012031</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parametric solution of the retardation equation in electrodynamics on one-dimensional manifolds

Popis výsledku v původním jazyce

Earlier we proposed a general solution to the problem of electric field lines of an arbitrarily moving charged particle. The lines were parametrized by light signals (dots) emitted from the trajectory at retarded moments of time. This parameterization solves the retardation equation, which relates the observation point to a point on the trajectory at the retarded time. In this paper it is shown that a similar parameterization allows us to solve the retardation equation on an arbitrary one-dimensional manifold formed by the intersection of two surfaces in three-dimensional space. The case when the one-dimensional manifold is a straight line formed by the intersection of two planes is considered in detail. The found parametric solution allows us to compute the corresponding Lienard-Wiechert field and to visualize its dynamics in time. Illustrations/animations of the field for straight lines parallel to the plane of motion of a relativistic charge moving along a circle are given.

Název v anglickém jazyce

Parametric solution of the retardation equation in electrodynamics on one-dimensional manifolds

Popis výsledku anglicky

Earlier we proposed a general solution to the problem of electric field lines of an arbitrarily moving charged particle. The lines were parametrized by light signals (dots) emitted from the trajectory at retarded moments of time. This parameterization solves the retardation equation, which relates the observation point to a point on the trajectory at the retarded time. In this paper it is shown that a similar parameterization allows us to solve the retardation equation on an arbitrary one-dimensional manifold formed by the intersection of two surfaces in three-dimensional space. The case when the one-dimensional manifold is a straight line formed by the intersection of two planes is considered in detail. The found parametric solution allows us to compute the corresponding Lienard-Wiechert field and to visualize its dynamics in time. Illustrations/animations of the field for straight lines parallel to the plane of motion of a relativistic charge moving along a circle are given.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Journal of Physics: Conference Series

ISBN

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ISSN

1742-6588

e-ISSN

1742-6596

Počet stran výsledku

8

Strana od-do

—

Název nakladatele

IOP Publishing Ltd

Místo vydání

Bristol

Místo konání akce

Prague

Datum konání akce

7. 7. 2025

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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