Abstract
THE PROPAGATION of small perturbations in an infinite medium consisting of two different media is studied. The half-space z> O consists of a medium in which the speed of propagation of sound equals A, and in the half-space z< O sound propagates with speed a, where A> a. It is shown that in such a medium Huygens principle is violated, namely: at any point of space some time after an instantaneously acting point source a leading wave front arrives, but the trailing edge of the wave is absent. The perturbation at a spatial point decays with time as t −3.
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More From: USSR Computational Mathematics and Mathematical Physics
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