Influence of the dispersion-spectrum inhomogeneities on the Raman self-conversion of the frequency of femtosecond optical solitons

The theory of spectral perturbations is combined with the inverse scattering problem and the techniques of large-scale computer simulation are used to deal with a new class of problems of the influence of the dispersion-spectrum inhomogeneities (such as potential barriers and wells) on the dynamics of femtosecond optical solitons. A study is made of the dependences of the main soliton parameters on the position of the central frequency of a barrier, and on its width and height. Such dispersion inhomogeneities lead to a special kind of soliton capture by a 'spectral trap'. The appearance of a clear spectral gap in the soliton spectrum, leading to a nontrivial change in the soliton temporal envelope, is predicted. Structural stability of a Schrodinger soliton in the presence of such nontrivial perturbations is demonstrated.