Wakes and waves in N dimensions
Abstract
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.
- Publication:
-
American Journal of Physics
- Pub Date:
- May 1993
- DOI:
- 10.1119/1.17230
- Bibcode:
- 1993AmJPh..61..395S
- Keywords:
-
- 03.40.Kf;
- 02.30.Jr;
- Partial differential equations