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Faraday–Fresnel rotation and splitting of orbital angular momentum carrying waves in a rotating plasma

Published online by Cambridge University Press:  29 September 2021

J.-M. Rax  and
R. Gueroult Open the ORCID record for R. Gueroult [Opens in a new window]
J.-M. Rax
Affiliation:
IJCLab – Université de Paris-Saclay and Département de Physique – Ecole Polytechnique, 91405Orsay, France
R. Gueroult*
Affiliation:
LAPLACE, Université de Toulouse, CNRS, INPT, UPS, 31062Toulouse, France
*
†Email address for correspondence: [email protected]
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Abstract

Rotational Fresnel drag – or orbital Faraday rotation – in a rotating magnetised plasma is uncovered and studied analytically for Trivelpiece–Gould and whistler–helicon waves carrying orbital angular momentum (OAM). Plasma rotation is shown to introduce a non-zero phase shift between OAM-carrying eigenmodes with opposite helicities, similarly to the phase shift between spin angular momentum eigenmodes associated with the classical Faraday effect in a magnetised plasma at rest. By examining the dispersion relation for these two low-frequency modes in a Brillouin rotating plasma, this Faraday–Fresnel rotation effect is traced back to the combined effects of Doppler shift, centrifugal forces and Coriolis forces. In addition, the longitudinal group velocity in the presence of rotation is shown to depend both on rotation and azimuthal mode, therefore predicting the Faraday–Fresnel splitting of the envelope of a wave packet containing a superposition of OAM-carrying eigenmodes with opposite helicities.

Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 5 , October 2021 , 905870507
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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References

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