WIAS Preprint No. 2585, (2019)

The role of the self-steepening effect in soliton compression due to cross-phase modulation by dispersive waves


  • Pickartz, Sabrina

2010 Mathematics Subject Classification

  • 78A60 78M22

2008 Physics and Astronomy Classification Scheme

  • 42.65.-k 42.81.Dp 42.65.Re 05.45.Yv


  • Ultrashort pulses, pulse compression, soliton, optical event horizons




We consider the compression and amplification of an ultrashort soliton pulse through the interaction with a weaker velocity-matched dispersive wave, in the so-called optical event horizon regime. We demonstrate that in this interaction scheme the self-steepening effect plays the key role in producing a strong soliton compression. While the interaction between the two pulses is mediated through cross phase modulation, the self-steepening effect produces an energy exchange, which enhances soliton compression. We provide numerical results and an analytical expression for energy transfer and compression rate.

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