Interactions of partially incoherent spatial solitons in logarithmic saturable nonlinear media

Abstract

The interactions of two partially incoherent spatial solitons in logarithmic saturable nonlinear media are investigated numerically based on the coherent density approach. Numerical simulations show that the interaction through cross-phase modulation (XPM) result in attraction, with the solitons going through each other, and these interactions are insensitive to their initial relative phase. Two equal-width solitons with different incoherence may repel each other and exchange energy. If the two equal-width solitons propagate collinearly they can linearly superpose and fuse into a steady composite partially incoherent spatial soliton. The interactions through self-phase modulation (SPM) are very sensitive to their initial relative phase and coherence, and can be changed from attraction to repulsion or vice versa. Some interesting numerical examples are presented to show how these interactions can be controlled by these parameters.