Influence of noise on the formation of optical solitons in waveguides

Abstract

Peltier heating effects have been observed to cause significant errors in measurements of electrical resistivity in chromium. These effects occur in many experimental arrangements, and for both AC and DC techniques. The errors became particularly acute in the vicinity of the Nee1 transition.

Ultrashort pulses in an inhomogeneously broadened two-level medium: soliton formation and inelastic collisions

“…There is a number of generalizations, as well, aiming to take into account the near-dipoledipole interactions (local-field correction) in the dense resonant media [8], Stark shift of the absorption line [9], and few-cycle pulse dynamics in the regime of invalidity of the rotating-wave approximation [10,11]. Using the two-level model and its generalizations, the broad spectrum of SIT studies was performed including invariant pulse propagation and optical switching in dense media [12,13], quasiadiabatic following analysis [14], incoherent solitons [15], SIT soliton lasers [16], SIT soliton collisions [17,18], SIT in Bragg reflectors and photonic crystals [19,20,21], coherent pulse propagation and SIT effects in doped waveguides and amplifiers [22,23], SIT in the presence of Kerr nonlinearity [24,25], etc.…”

Publisher's Note:N-order bright and dark rogue waves in a resonant erbium-doped fiber system [Phys. Rev. E86, 066603 (2012)]

“…Circular rogue wave [62] may be constructed by the condition J 2 >> J 1 and J 2 >> J 0 . The dynamical evolution of |Ē [3] | 2 , |p [3] | 2 andη [3] for the parametric choice Figures 16-18. At the same time, triplets rogue wave may be constructed by the condition J 1 >> J 2 and J 1 >> J 0 .…”

“…At the same time, triplets rogue wave may be constructed by the condition J 1 >> J 2 and J 1 >> J 0 . The dynamical evolution of |Ē [3] | 2 , |p [3] | 2 andη [3] for the parametric choice Figures 19-21. Similarly, there is another kind third-order rogue wave, for example, |Ē [3] | 2 is higher than third-rogue above.…”

“…So if we consider these effects for a large width pulse, then the system dynamics will be governed by the coupled system of the NLS equation and the MB equation (NLS-MB system). Considering the Erbium doped in nonlinear silica waveguides, for the first time, the combined NLS-MB system was proposed by Maimistov and Manykin [3,4]in 1983. They have also constructed the Lax pair and used the inverse scattering transform technique for the generation of soliton solution.…”

“…They have also constructed the Lax pair and used the inverse scattering transform technique for the generation of soliton solution. The NLS-MB equations read as [3][4][5] E t =i[ 1 2 E xx + |E| 2 E] + 2p, p x =2i ω 0 p + 2Eη, η x = − (Ep * + E * p),…”