Universal triangular spectra in parametrically-driven systems

N. Akhmediev (1) , A. Ankiewicz (1) , J.M. Soto-Crespo (2) , J.M. Dudley (3)

1 Optical Sciences Group
2 IO-CSIC - Instituto de Óptica "Daza de Valdés"
3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

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.

Domaines: Optique / photonique

N. Akhmediev, A. Ankiewicz, J.M. Soto-Crespo, J.M. Dudley. Universal triangular spectra in parametrically-driven systems. Modern Physics Letters A, 2011, 375 (3), pp.775-779. ⟨10.1016/j.physleta.2010.11.044⟩. ⟨hal-00582946⟩