TY - GEN

T1 - Universal spectral dynamics of modulation instability

T2 - European Quantum Electronics Conference, EQEC 2011

AU - Hammani, K.

AU - Wetzel, B.

AU - Kibler, B.

AU - Fatome, J.

AU - Finot, C.

AU - Akhmediev, N.

AU - Dudley, J. M.

PY - 2011

Y1 - 2011

N2 - A central process of nonlinear fibre optics is modulation instability (MI), where weak perturbations on a continuous wave are amplified to generate a parametric cascade of spectral sidebands. Although studied for many years, it has only been recently appreciated that MI dynamics can be described analytically by Akhmediev breather (AB) solutions to the nonlinear Schrdinger equation (NLSE) [1]. This has led to important results, including the first observation of the Peregrine Soliton [2]. AB theory has also shown that the spectral amplitudes at the peak of the MI gain curve yield a characteristic log-triangular spectrum, providing new insight into the initial phase of supercontinuum generation [3]. Here, we present a significant extension to this theory by generalising the analysis to describe spectral characteristics for arbitrary gain. Our new result also describes the dynamics of the spectral development, a process previously studied only via truncated models or numerical approaches [4]. We confirm our theory by simulations and experiments. ï¿½ 2011 IEEE.

AB - A central process of nonlinear fibre optics is modulation instability (MI), where weak perturbations on a continuous wave are amplified to generate a parametric cascade of spectral sidebands. Although studied for many years, it has only been recently appreciated that MI dynamics can be described analytically by Akhmediev breather (AB) solutions to the nonlinear Schrdinger equation (NLSE) [1]. This has led to important results, including the first observation of the Peregrine Soliton [2]. AB theory has also shown that the spectral amplitudes at the peak of the MI gain curve yield a characteristic log-triangular spectrum, providing new insight into the initial phase of supercontinuum generation [3]. Here, we present a significant extension to this theory by generalising the analysis to describe spectral characteristics for arbitrary gain. Our new result also describes the dynamics of the spectral development, a process previously studied only via truncated models or numerical approaches [4]. We confirm our theory by simulations and experiments. ï¿½ 2011 IEEE.

UR - http://www.scopus.com/inward/record.url?scp=84893570492&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781457705328

T3 - Optics InfoBase Conference Papers

BT - European Quantum Electronics Conference, EQEC 2011

Y2 - 22 May 2011 through 26 May 2011

ER -