Physics
Scientific paper
Jun 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jastp..62..799w&link_type=abstract
Journal of Atmospheric and Solar-Terrestrial Physics, Volume 62, Issue 9, p. 799-813.
Physics
5
Scientific paper
WKBJ methods are often used to study the excitation of waveguide modes and field line resonances in the magnetosphere. In this paper, these methods are used to study the nature of the reflection and transmission process at a turning point when conditions are favourable for strong excitation of the field line resonance. The accuracy and region of validity of such WKBJ solutions are discussed. In regions where they are not valid, a series solution of the relevant equations is given. The wave fields can be found to great accuracy by matching WKBJ solutions across the turning point and resonance using this series solution. This allows the calculation of the Stokes constant which does not show Airy function behaviour as often assumed. The Stokes constant is effectively a reflection coefficient referred to the turning point. Its phase, when the transmission to the resonance is strong, is nearer to 180° than 90° as often assumed. Its magnitude allows the fraction of incident energy which is transmitted to the resonance to be calculated. These results are expected to be useful in studying the behaviour of waveguide modes.
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