Wakes and waves in N dimensions

  title={Wakes and waves in N dimensions},
  author={H. Soodak and Martin S. Tiersten},
  journal={American Journal of Physics},
An impulsive point excitation in a linear, nondispersive wave medium can produce an after‐signal, which has been called a ‘‘wake’’ in the mathematical physics literature. Relations are derived between such wakes and the dimensionality of the space by regarding a point source in space of dimensionality N−2 as a line source in N−1 dimensions and as a plane source in N dimensions. The ‘‘magic’’ of one and three dimensions is discussed from a new point of view. 
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