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Analytic formulas for the mechanical properties of radio waves
emitted by an antenna array
Holger Then
holger.then@uni-ulm.de
Theoretical Physics
Carl-von-Ossietzky University
Oldenburg, Germany
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Abstract
Spin and orbital angular momentum densities are connected to helicity
(circular polarization) and topological charge (azimuthal phase shift and
vorticity). Computing the electromagnetic fields emitted by a circular
antenna array, analytic expressions are found for the densities of energy,
linear momentum, and angular momentum in terms of helicity and vorticity.
Separating the angular momentum into spin and orbital angular momentum, we
find that the density of orbital angular momentum depends on the vorticity
only and can be expressed by quite simple terms, whereas the density of
spin angular momentum depends on both, helicity and vorticity. Finally, a
radio experiment is proposed that allows to measure the torque of the
angular momentum flux.
The presentation (PDF)
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