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Propagation of phase transverse to the imposed magnetic field

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Cold Plasma Waves

Part of the book series: Developments in Electromagnetic Theory and Applications ((DETA,volume 2))

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Abstract

When the direction of phase propagation is perpendicular to the direction of the imposed magnetic field, we have what is known as transverse propagation (¸ p = 1/2 π). For transverse propagation the direction of group propagation is also perpendicular to the direction of the imposed magnetic field (θ g = 1/2 π) This follows from the fact that the expressions for n 2 in Equations (5.36) are unchanged if θ p is replaced by π — θ p . Consequently a diagram such as Figure 6.2 showing surfaces of constant ω in k space is symmetrical about the coordinate plane perpendicular to the direction of the imposed magnetic field. Normals to a surface where it crosses the k 1 axis are therefore in the k 1 direction. For transverse propagation, the directions of group and phase propagation coincide, but not the magnitudes.

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References

  1. Booker H.G. (1975) Electromagnetic and hydromagnetic waves in a cold magnetoplasma, Phil. Trans. Roy. Soc. A 280, 57–93.

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  2. Ratcliffe J.A. (1933) The magneto-ionic theory, Wireless Engineer 10, 354–363.

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  3. Budden K.G. (1961) Radio waves in the ionosphere, Cambridge University Press, Cambridge. New edition in preparation.

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© 1984 Martinus Nijhoff Publishers, Dordrecht

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Booker, H.G. (1984). Propagation of phase transverse to the imposed magnetic field. In: Cold Plasma Waves. Developments in Electromagnetic Theory and Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6170-8_9

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  • DOI: https://doi.org/10.1007/978-94-009-6170-8_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6172-2

  • Online ISBN: 978-94-009-6170-8

  • eBook Packages: Springer Book Archive

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