Propagation of One-Dimensional Waves from a Source in Random Motion
J. K. Knowles · The Journal of the Acoustical Society of America · 1968
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.