Photon envelopes and rogue waves: Exploring SPM and XPM effects in fiber media

Rogue waves in optical materials can be generated through various mechanisms, but one interesting scenario involves the interaction of a two-component high-intensity field with the optical material. This study investigates soliton dynamics in an optical material propagating through a binary component high-intensity field. One component exhibits self-focusing self-phase modulation, while the other shows self-defocusing self-phase modulation, maintaining transparency with each other. The numerical analysis reveals photon envelope behavior under Kerr nonlinearity in a fiber medium, resulting in bright and dark component envelopes. Novel soliton envelopes and their interactions are identified, demonstrating the significant dependence of photonic soliton behavior on the self-phase modulation (SPM) and cross-phase modulation (XPM) coefficients.