The theory of collinear degenerate four-wave mixing in a lossless, isotropic Kerr medium is described and solved numerically. Multiple solutions to the equations governing the spatial evolution of the probe and signal fluxes are found when the input fluxes exceed a critical intensity determined by the electric susceptibility and the interaction length of the medium. This treatment includes all phase-matched contributions to the equations of motion of all fields, including the cross-coupled waves appearing in the collinear geometry.
© 1984 Optical Society of America
Richard Lytel, "Optical multistability in collinear degenerate four-wave mixing," J. Opt. Soc. Am. B 1, 91-94 (1984)