Universal triangular spectra in parametrically-driven systems
Abstract
We analyse triangular spectra that appear in many branches of physics that deal with parametrically-driven systems, and give a simple theoretical analysis for them in terms of the nonlinear dynamics of multimode fields. Such spectra appear universally as a result of an exponential decay of the nonlinearly generated frequency modes of many parametrically-driven systems, and have been confirmed by recent observations of noise-driven supercontinuum generation in optical fibers. We demonstrate that such universal triangular spectra (UTS) can be well-described by the analytical expressions for the spectra of Akhmediev breather (AB) solutions at the point of maximal compression.
- Publication:
-
Physics Letters A
- Pub Date:
- January 2011
- DOI:
- 10.1016/j.physleta.2010.11.044
- Bibcode:
- 2011PhLA..375..775A