Abstract
A new technique has been developed for application to problems of radio wave propagation in magnetoionic mediums. This method is based on a mathematical formulation of Poeverlein's graphical solution. The mathematical formulation is made possible by assuming that the index of refraction surfaces are ellipsoids of revolution. Complicated problems can be solved in terms of the semiaxes, a and b, of these ellipsoids, which can be evaluated as continuously varying elements by means of the Appleton-Hartree equation. The results obtained through the application of this method are as exact as that equation. The problem of focusing in the terrestrial ionosphere has been investigated in complete generality through an application of this new technique. The general equations obtained have the same structure as those previously derived by neglecting the terrestrial magnetic field. The corresponding radiation patterns are substantially different, however, when the effects of the earth's magnetic field are included. The effects of the earth's magnetic field are very pronounced and cannot be ignored as X approaches unity and Y becomes relatively large. This is the domain of interest to radio astronomy in space.
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