Higher-Order Approximations in Ionospheric Wave Propagation
Published Online: 17 MAR 2013
Copyright © 1974 by the American Geophysical Union.
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
- Published Online: 17 MAR 2013
- Published Print: 1 JAN 1974
Print ISBN: 9780875900186
Online ISBN: 9781118663578
- Atmosphere, Upper—Addresses, essays, lectures;
- Dynamic meteorology—Addresses, essays, lectures
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.