Schrödinger equation description for cross-phase modulation in grating structures

M. J. Steel*, C. Martijn De Sterke

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We present a simple approximate description of systems involving cross-phase modulation in highly dispersive media. Optical pulses in such systems suffer large frequency shifts and correspondingly experience large variations in group velocity dispersion so that a simple nonlinear Schrödinger equation description is not valid. We take the frequency shift into account in a moments based model that extends the standard Schrödinger description, and apply the model to the particular case of optical pulse compression in nonlinear Bragg gratings. The model is tested against full numerical simulations. Finally, we consider some of the difficulties involved in observing the pulse-compression effect.

Original languageEnglish
Pages (from-to)5048-5055
Number of pages8
JournalPhysical Review A
Issue number6
Publication statusPublished - 1994
Externally publishedYes


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