Optimally stabilized beam pairs

In this paper, evolution of two co-axially co-propagating beams with the propagation distance in a Kerr type nonlinear medium has been analyzed for all possible physical parameters and situations. For the first time, the paper analyzes useful “optimally stabilized” (minimum width oscillations of beams with distance of propagation) pairing of bright–bright, bright–dark, dark–dark beams of same/different wavelengths and of same/different widths using coupled nonlinear Schrödinger equation (NLSE) that has been solved using split-step Fourier method. Soliton pairs of two unequal beam widths are known to be impossible, however, it is shown that “optimally stabilized” pairing is possible in such cases. Existence surfaces for optimally stabilized pairing have also been revealed for different interaction coefficient of the coupled beams.