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Explicitly covariant dispersion relations and self-induced transparency

Published online by Cambridge University Press:  05 January 2017

S. M. Mahajan  and
Felipe A. Asenjo
S. M. Mahajan*
Affiliation:
Institute for Fusion Studies, The University of Texas at Austin, Texas 78712, USA
Felipe A. Asenjo*
Affiliation:
Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7941169, Chile
*
†Email addresses for correspondence: mahajan@mail.utexas.edu, felipe.asenjo@uai.cl
†Email addresses for correspondence: mahajan@mail.utexas.edu, felipe.asenjo@uai.cl
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Abstract

Explicitly covariant dispersion relations for a variety of plasma waves in unmagnetized and magnetized plasmas are derived in a systematic manner from a fully covariant plasma formulation. One needs to invoke relatively little known invariant combinations constructed from the ambient electromagnetic fields and the wave vector to accomplish the program. The implication of this work applied to the self-induced transparency effect is discussed. Some problems arising from the inconsistent use of relativity are pointed out.

Keywords

magnetized plasmasplasma waves
Type
Research Article
Information
Journal of Plasma Physics , Volume 83 , Issue 1 , February 2017 , 905830101
Copyright
© Cambridge University Press 2017 

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