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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Parametric solution of the retardation equation in electrodynamics on one-dimensional manifolds
Original language description
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.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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