Show simple item record

The electromagnetic radiation problem in a arbitrary gravitational background vacuum

dc.contributor.authorFranssens, G.R.
dc.date2007
dc.date.accessioned2016-09-27T11:09:46Z
dc.date.available2016-09-27T11:09:46Z
dc.identifier.urihttps://orfeo.belnet.be/handle/internal/4406
dc.descriptionElectromagnetism in an arbitrary gravitational background vacuum is formulated in terms of Clifford analysis over a pseudo-Riemannian space with signature (1,3). The full electromagnetic radiation problem is solved for given smooth compact support electric and magnetic monopole charge-current density source fields. We show that it is possible to attack this problem by analytical means in four dimensional form and without invoking electromagnetic potentials. Our approach reveals that the solution for the full electromagnetic field can be expressed in terms of a fundamental solution of the Laplace-de Rham scalar wave equation, so that calculating Green's dyadic fields is superfluous. In the absence of gravity our method reproduces (i) Jefimenko's equations and (ii) an expression for the particular solution of the wave equation satisfied by the electromagnetic field. Expression (ii) is simpler than Jefimenko's result and has the additional advantage that its evaluation avoids integrating over singularities.
dc.languageeng
dc.relation.ispartofseries
dc.titleThe electromagnetic radiation problem in a arbitrary gravitational background vacuum
dc.typeArticle
dc.subject.frascatiPhysical sciences
dc.audienceScientific
dc.subject.freeCurrent density
dc.subject.freeElectric charge
dc.subject.freeElectric fields
dc.subject.freeElectromagnetic field measurement
dc.subject.freeElectromagnetic field theory
dc.subject.freeElectromagnetic fields
dc.subject.freeElectromagnetic wave emission
dc.subject.freeElectromagnetic waves
dc.subject.freeElectron optics
dc.subject.freeLaplace equation
dc.subject.freeMagnetic fields
dc.subject.freeMagnetic materials
dc.subject.freeMagnetism
dc.subject.freeVacuum
dc.subject.freeWave equations
dc.subject.freeClifford analysis
dc.subject.freeCompact supported
dc.subject.freeElectromagnetic (EM)
dc.subject.freeElectromagnetic potentials
dc.subject.freeElectromagnetic radiation (EMR)
dc.subject.freeFundamental solutions
dc.subject.freeITS evaluation
dc.subject.freeMagnetic (CE)
dc.subject.freeParticular solutions
dc.subject.freeScalar-wave equations
dc.subject.freeSource fields
dc.subject.freeElectromagnetism
dc.source.titleWSEAS Transactions on Mathematics
dc.source.volume6
dc.source.issue10
dc.source.page838-851
Orfeo.peerreviewedYes
dc.identifier.scopus2-s2.0-47149083732


Files in this item

Thumbnail
Name:
Franssens(2007c).pdf
Size:
440.6Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record