Analytical propagation formulae of spectrally combined laser beams in nonlinear Kerr media

The analytical propagation formulae of spectrally combined laser beams (SCLBs) in nonlinear Kerr media are derived, and the analytical expression of the ratio of the effect of the photorefractivity to the diffraction of SCLBs propagating in nonlinear Kerr media is also obtained. The validity of the analytical propagation formulae of SCLBs in nonlinear Kerr media is confirmed, and the error of the analytical propagation formulae is also discussed. It is shown the calculation time is reduced greatly by using the analytical propagation formulae. Therefore, a useful method is presented to study the propagation of SCLBs in nonlinear Kerr media.