Distribution of echo amplitudes from an undulating surface

Physics

Scientific paper

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Scientific paper

The probability P(A)dA of an echo amplitude between A and A + dA is calculated for waves reflected at normal incidence from a reflector whose curvature has a Gaussian distribution centred on zero and standard deviation proportional to a parameter k. The resultant amplitude distributions are discussed in terms of the practical measurement of the absorption of radio waves in the ionosphere, and it is shown that for a wide range of values of k, the quantile chosen so that 75 per cent of the observed amplitudes are less than this is a reasonable measure of the root mean square amplitude which depends only on the absorption. The application of the distributions to short wave radio communications is discussed briefly.

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