Abstract
No useful analytical solution has yet been given for the propagation of vertically polarized radio waves over a non-homogeneous earth. On one hand, Grunberg1 and other Russian authors have started analytical work on the right lines, but seemingly without being able to arrive at any reasonable answers; on the other, Millington2 has suggested a practical graphical procedure, based on the general features that a rigorous solution would be expected to possess. Millington's method ignores phase relationships altogether; but recent experimental work indicates that it gives a good estimate of field-strengths3,4,5.
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