Asymptotic Behavior of Scattered Waves
- 1 July 1965
- journal article
- Published by American Association of Physics Teachers (AAPT) in American Journal of Physics
- Vol. 33 (7) , 552-556
- https://doi.org/10.1119/1.1971908
Abstract
The relation between the Fourier transform of a scattered wave and its asymptotic behavior at large distances from the scatterer is derived rigorously, and generalized to spaces of arbitrary dimension. Using this result, a simple derivation of the partial-wave expansion is given. Also a concise representation for the Laplacian on a sphere in n dimensions is obtained.Keywords
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