Observation of Solitary Waves with Different Phase Behavior in Stimulated Raman Forward Scattering

Abstract

Solitary waves originating from quantum noise in stimulated Raman forward scattering are interferometrically investigated. The experimental data obtained proves the existence of solitary waves of different character. This finding is also supported by numerical calculations. The observed solitary pulses are interpreted as either a solitary wave, an antisolitary wave, or a breather.[S0031-9007(98)07954-X]

Nearly integrable nonlinear equations on the half line describing the resonant interaction of radiation with matter

“…Moreover, the argument we present below is valid for a non-small dephasing parameter . Following the arguments of [25] (see also [14]) we note that the spike of pump radiation, first observed in [18] (see also more recently [29] and [30]), occurs at a time τ 0 ≡ t 0 when β(k 0 , τ 0 ) = 0. Hence, the limit β 1 serves as an approximation when dealing with the spike formation.…”

“…Here we note that the corresponding evolution equations for the entries (a and b) of the scattering matrix are highly nonlinear coupled equations; while for the quotient β = b/a one gets a simple Riccati equation (30). This is the advantage of using the matrices ± defined by (11).…”

“…Equation ( 42) is quite a remarkable result. Indeed, the integrable part of the evolution of β(k, τ ) is given by the Riccati equation (30), which is quadratic in β. When β is small (spike formation), addition of the perturbation-induced evolution in the same order in β to the integrable limit requires keeping the terms linear and quadratic in β.…”