TY - JOUR
T1 - Universal triangular spectra in parametrically-driven systems
AU - Akhmediev, Nail
AU - Ankiewicz, Adrian
AU - Soto-Crespo, J. M.
AU - Dudley, John M.
PY - 2011/1/17
Y1 - 2011/1/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78650863633&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2010.11.044
DO - 10.1016/j.physleta.2010.11.044
M3 - Article
SN - 0375-9601
VL - 375
SP - 775
EP - 779
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -