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- W2023444641 abstract "We consider the plane-wave spectrum generated by two arbitrary current distributions, J1(r) and J2(r), in free space below, or above, a plane stratified ionosphere. We apply the 2×2 ionospheric reflection or transmission matrices R(k) or T±(k) defined in terms of the TE or TM modal amplitudes, and perform an inverse Fourier transform on the reflected or transmitted spectral components, to obtain the resultant fields, E1(r) and E2(r), reflected from, or transmitted through the ionosphere. A scattering theorem is then applied which connects the scattering matrices in a given problem with those in a ‘conjugate’ problem, namely, R±(k) = R̃±(kc), T±(k) = T̃∓(kc), where the propagation vector kc is the mirror image of k with respect to the vertical, magnetic east-west plane. It is shown that ∝ E1(r) ·J2(r)d3r = ∝E2c(r) · J1c(r)d3r where Eic(r), i = 1, 2, represents the respective fields generated by the image or mirrored, current systems Jic(r), i.e. mirrored with respect to the vertical magnetic meridian plane. It is noted that whereas the Lorentz reciprocity theorem relates currents and fields in the presence of (or inside) a given medium with those in the presence of a transposed medium (i.e. in the presence of a hypothetical ionosphere in which the geomagnetic field has been reversed), the result here derived relates instead a given and a mirrored pair of current systems, and their associated wave fields, in the same physical system." @default.
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- W2023444641 date "1981-04-01" @default.
- W2023444641 modified "2023-10-17" @default.
- W2023444641 title "A reciprocity theorem relating currents and fields in the presence of a plane-stratified ionosphere" @default.
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- W2023444641 doi "https://doi.org/10.1016/0021-9169(81)90095-7" @default.
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