A reciprocity theorem relating currents and fields in the presence of a plane-stratified ionosphere

Details A reciprocity theorem relating currents and fields in the presence of a plane-stratified ionosphere A reciprocity theorem relating currents and fields in the presence of a plane-stratified ionosphere

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jatp...43..339a&link_type=abstract

Journal of Atmospheric and Terrestrial Physics, vol. 43, Apr. 1981, p. 339-344. Research supported by the Deutsche Forschungsge

Mathematics

Atmospheric Models, Current Distribution, Earth Ionosphere, Plane Waves, Reciprocal Theorems, Signal Transmission, Angular Distribution, Atmospheric Scattering, Geomagnetism, Matrices (Mathematics), S Matrix Theory, Spectrum Analysis, Wave Propagation

Scientific paper

The plane-wave spectrum, generated by two arbitrary current distributions in free space below or above a plane stratified ionosphere, is considered. The 2 x 2 ionospheric reflection or transmission matrices, defined in terms of TE or TM modal amplitudes, are applied, and an inverse Fourier transform is performed on the reflected or transmitted spectral components to obtain the resultant fields which are reflected from or transmitted through the ionosphere. A scattering theorem is applied which connects the scattering matrices in a given problem with those in a conjugate problem. Whereas the Lorentz reciprocity theorem relates currents and fields in the presence of a given medium with those in the presence of a transposed medium, the result derived here relates a given and a mirrored pair of current systems and their associated wave fields in the same physical system.

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