Diffraction of plane radio waves by a parabolic cylinder
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Expressions are given for the diffraction field far behind, and the surface currents on, a parabolic cylinder. Approximate values for the field strength and current density are given when the radius of curvature of the cylinder is large compared to a wavelength. The formulas may have value in predicting the shadows that are cast by hills in microwave propagation. The idea of representing hills by knife-edges has been used successfully by a number of investigators. The theory of the parabolic cylinder indicates that such a representation is valid even for gently rounded hills when the angle of diffraction is small. On the other hand, when the angle of diffraction is so large that the knife-edge calculations do not apply, the results presented here may be used.