Higher-Order Approximations in Ionospheric Wave Propagation

  1. C. O. Hines
  1. C. O. Hines

Published Online: 17 MAR 2013

DOI: 10.1029/GM018p0895

The Upper Atmosphere in Motion

The Upper Atmosphere in Motion

How to Cite

Hines, C. O. (1974) Higher-Order Approximations in Ionospheric Wave Propagation, in The Upper Atmosphere in Motion, American Geophysical Union, Washington, D. C.. doi: 10.1029/GM018p0895

Author Information

  1. Fitzwilliam House, Cambridge, England

Publication History

  1. Published Online: 17 MAR 2013
  2. Published Print: 1 JAN 1974

ISBN Information

Print ISBN: 9780875900186

Online ISBN: 9781118663578

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Keywords:

  • Atmosphere, Upper—Addresses, essays, lectures;
  • Dynamic meteorology—Addresses, essays, lectures

Summary

Because of non-linearities in the basic equations governing ionospheric wave propagation, the usual (perturbation) treatment involving a single frequency of oscillation does not provide a complete solution. The difficulty has been treated in the literature by the introduction of harmonics but, because of a misinterpretation of the mathematical symbolism, the results are not immediately applicable to the physical problem for which they were intended. A corresponding treatment, physically more appropriate, is undertaken here. Certain results of the earlier inquiry—in particular, those concerning resonance—are regained at some levels of approximation, but the general validity of the approach is found to be doubtful.