WIAS Preprint No. 2934, (2022)
Unusual ways of four-wave mixing instability
- Amiranashvili, Shalva
- Bandelow, Uwe
2020 Mathematics Subject Classification
- 78A40 78A60
- Nonlinear fibers, modulation instability, four wave mixing instability, Lighthill criterion, negative frequencies
A pump carrier wave in a dispersive system may decay by giving birth to blue- and red-shifted satellite waves due to modulation or four-wave mixing instability. We analyse situations where the satellites are so different from the carrier wave, that the red-shifted satellite either changes its propagation direction (k < 0, ω > 0) or even gets a negative frequency (k, ω < 0). Both situations are beyond the envelope approach and require application of Maxwell equations.
- Phys. Rev. A, 105 (2022), pp. 063519/1--063519/6, DOI 10.1103/PhysRevA.105.063519 with the new title ``Unusual scenarios in four-wave-mixing instability''.