Ionospheric equivalent heights of reflection calculated by a full wave method and by the phase integral method

Physics

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The equivalent height of reflection, for radio waves vertically incident on an isotropic ionospheric layer, is calculated by an accurate full wave method. This is applied to several parabolic profiles of electron density and to a Chapman profile, and the results are compared with those obtained by the phase integral method (Cooper, 1961). The parabolic layers give reflections from the discontinuities of gradient of refractive index at the top and bottom edges. These are especially important for frequencies greater than the penetration frequency and may play a part in explaining some kinds of sporadic-E reflection. They are ignored by the phase integral method. The Chapman profile is then studied. It has no discontinuities, so that there are no complications from edge reflections, and the phase integral method and the accurate full wave method now gives results in good agreement. This provides strong encouragement for using the phase integral method with smoothly varying ionospheric layers.

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