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What is Wave Propagation in Various Dimensions about?
1) Wave propagation solutions depend on the number of spatial dimensions. 2) In 1D, the signal persists indefinitely rather than being a pulse. In 2D, the signal strength decays like 1/t. 3) Remarkably, in 3D the signal is a delta function pulse that reaches each point exactly when causality predicts, with amplitude dropping as 1/R like the Coulomb potential. Three dimensions is uniquely able to support such an ideal pulse-like propagation.
- Author
- Gurvir Singh
- Language
- EN