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Explicit Examples of Free-Space Non-Planar Electromagnetic Waves Containing Magnetic Scalar Potentials

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Scientific Paper
TitleExplicit Examples of Free-Space Non-Planar Electromagnetic Waves Containing Magnetic Scalar Potentials
Read in fullLink to paper
Author(s)Hector A Munera, Octavio Guzman
Keywordslinearly polarized plane electromagnetic waves, non-planar electromagnetic
Published2000
JournalApeiron
Volume7
Number1-2
No. of pages8
Pages59-66

Read the full paper here

Abstract

Electromagnetic waves (EMW) are formed by electric and magnetic fields, both together solution of Maxwell's equations. The magnetic field is solenoidal always, while the electric field is solenoidal in charge-neutral regions only.  Hence, conventionally, free-space electromagnetic fields are transverse to the direction of propagation; also, there exists a electric scalar potential but not a magnetic companion. Contrarywise, for the same homogeneous case, we exhibit explicit examples to show that: (a) Longitudinal magnetic fields are compatible with linearly polarized non-planar EMW, and (b) Magnetic scalar potentials are compatible with EMW. The direction of propagation of non-planar EMW oscillates around the direction of propagation of the plane EMW.