Non-reversibility for radio rays in the ionosphere

Mathematics – Complex Variables

Scientific paper

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Ionospheric Propagation, Radio Transmission, Ray Tracing, Wentzel-Kramer-Brillouin Method, Anisotropic Media, Complex Variables, Incident Radiation, Integral Equations, Plane Waves, Wave Reflection

Scientific paper

A recent study of the WKB solutions for radio wave propagation in the ionosphere has shown that the complex phase of the i-th wave should include a term related to the diagonal element of a coupling matrix. This has hitherto been ignored in ray-tracing studies. The effect of including the term is investigated, and it is shown to lead to nonreversibility of the ray paths and to a small modification of the lateral deviation and bearing error. It is particularly important for frequencies less than the electron gyrofrequency in calculations that require an accurate knowledge of the phase of a wave that has traversed the ionosphere.

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