Local Manley-Rowe relations for noneikonal wave fields
Journal Article
·
· Physical Review Letters
- Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)
The wave-action conservation laws for three-wave interactions are of fundamental importance. These laws, known as Manley-Rowe relations, are usually obtained with great difficulty from nonlinear evolution equations. Here, we derive them directly from a Noether symmetry of the appropriate Lagrangian. As an example, the Lagrangian formulation for stimulated Raman scattering is presented, and local Manley-Rowe relations, valid even for noneikonal wave fields, are derived by the Noether method.
- Research Organization:
- Lawrence Berkeley National Laboratory
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 69278
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 74; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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