Analytical model of chromatic dispersion effect in the time domain

The investigation of chromatic dispersion effect on pulse propagation is of interest in high-speed optical transmission systems. But the chromatic dispersion effect hasn't an acceptable analytical description in the time domain. The analytical model of the dispersion effect in the time domain using a quadratic function approximation of nonlinear part of the propagation constant and the Fresnel integrals is proposed in this paper. It is shown that the obtained model is universal and it has a tuneable accuracy.