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1. Probability distributions for the echo returned from a random linear scattering array are of some importance in several different situations, especially in connection with the use of radar and sonar. In the simplest case n identical isotropic point scatterers are placed at random on the interval [0, L\, the source of radiation is at the point (—s, 0) which is sufficiently far from the origin so that the ratio (s + rCi)/(s + x2) is sufficiently close to 1 for any two points Xi and x2 on [0, L], and the length L is an integral multiple of the wave-length X. The problem of finding the probability density for the components of the scattered signal reduces then to finding the joint probability density Wn(X, Y) for the components of the vector

Scattering from random linear arrays with closest approach