Propagation of One‐Dimensional Waves from a Source in Random Motion

Abstract

This paper is concerned with the transient problem of waves in an infinite one‐dimensional medium owing to a monochromatic source whose position X(t) is a stochastic function of time. Asymptotic results for the farfield are given for the general class of stationary source motions and for the case in which X(t) is a Wiener process, corresponding to Brownian motion.

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