Waves of polarized light in nonlinear birefringent fibre

A propagation of a short optical pulse in nonlinear birefringent fibre is described by a system of two coupled Schrödinger equations. By means of variational Anderson method this system reduces to the system of ordinary differential equations for spatial evolution of pulse parameters. In two ultimate cases the analytical solutions of the equations are managed to be found. It is shown that at some critical power of the input pulse Wc the regime of propagation changes. For the power exceeding Wc the radiation concentrates in one channel. The numerical investigation of the intermediate cases was done when by the variation of the input pulse power one can achieve the comparable effectiveness of the competing processes of dispersion broadening and nonlinear pulse compression. The numerical simulations show that in the range of critical values of the nonlinear coupling coefficient the transition takes place to the chaotic phase and amplitude behavior of the coupled waves of different polarizations. The research is important to understand the processes of ultra short digital pulses propagation in optical fibre links.