A direct perturbation method investigation of the interplay between self-frequency shift and cross-phase modulation for solitons

Abstract

The self-frequency shift of solitons, mainly observed in femtosecond pulses and arising from the Raman effect, can be counteracted by the cross-phase modulation (XPM) arising from collisions between pulses of different frequency. The same could be said for the time displacement that follows the frequency shift. The current work is an analytical approach to the interplay between the Raman self-frequency shift and XPM with third-order dispersion (TOD) effects taken into account. By using coupled NLS equations, the effect of XPM between two channels is considered for the cases of complete and incomplete collision. The analysis is based on the direct perturbation method and provides quantitative and qualitative insight of the spectral and temporal evolution of ultra short soliton pulses.

Acknowledgements

This work has been supported in part by the Protagoras Grant of the National Technical University of Athens and in part by the Hellenic Ministry of Education through the Heracletos and Pythagoras Grants.