Email this article Plane Waves, Bateman’s Solutions, and Sources at Infinity
- Authors: Blagoveshchensky A.S.1
-
Affiliations:
- St. Petersburg State University
- Issue: Vol 214, No 3 (2016)
- Pages: 260-267
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237376
- DOI: https://doi.org/10.1007/s10958-016-2775-4
- ID: 237376
Cite item
Open Access
Access granted
Subscription Access
Abstract
For the three-dimensional wave equation, two equivalent statements are proved: (1) plane waves are not generated by a source at infinity; (2) Bateman’s solution (the solution that is obtained by application of the Kelvin–Bateman transformation to a plane wave) is a solution of the wave equation everywhere in ℝ4. Bibliography: 5 titles.
About the authors
A. S. Blagoveshchensky
St. Petersburg State University
Author for correspondence.
Email: a.blagoveshchensky@spbu.ru
Russian Federation, St. Petersburg
