February 1967 | NTIA Technical Memo IER TM ITSA 41

Radio Propagation over a Gaussian Shaped Hill

Leslie A. Berry

Abstract: The propagation factor for wave propagation over an impedance surface containing irregularities large compared to a wavelength is the solution of a certain integral equation. The equation is solved numerically for the special case of a two-dimensional Gaussian hill. Sample calculations at 1 and 10 MHz show that there is focusing on the front slope of the hill and a deep shadow just behind the hill. Far behind the hill, the field recovers; and at high frequencies there is diffractive gain.

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