We present a simple approach to predict the main features of optical spectra affected by self-phase modulation (SPM), which is based on regarding the spectral modification as an interference effect. A two-wave interference model is found sufficient to describe the SPM-broadened spectra of initially transform-limited or up-chirped pulses, whereas a third wave should be included in the model for initially down-chirped pulses. Simple analytical formulas are derived, which accurately predict the positions of the outermost peaks of the spectra.
Bibliographical noteThis paper was published in Journal of the Optical Society of America B and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: https://doi.org/10.1364/JOSAB.35.003143. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Finot, C., Chaussard, F., & Boscolo, S. (2018). Simple guidelines to predict self-phase modulation patterns. Journal of the Optical Society of America B, 35(12), 3143-3152. https://doi.org/10.1364/JOSAB.35.003143