Horn antennas with uniform power patterns around their axes
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It is shown that a linearly polarized horn that has the same power pattern in all planes through the axis can be made from a synthetic material for which the boundary conditions on E and H are the same. An arbitrarily close approximation to this requirement can be realized by means of a grooved circular horn.
[1] V. Rumsey. A new way of solving Maxwell's equations , 1961 .