Self-Compression and Soliton Propagation of Short Gaussian Laser Pulses in Kerr Nonlinear Dielectric Fibers of Parabolic Refractive Index Profile

Nonstationary theory of the pulse self-compression due to dispersion and nonlinearity, has been investigated in detail in parabolic profile silica dielectric fibers. Conditions necessary for the formation of soliton, during propagation of a picosecond short Gaussian pulse, have been examined theoretically. By considering the more general form of the electric displacement vector, consisting of the dispersion and relaxation terms, the analysis has been carried out for slowly varying amplitudes with the time. The study shows that by carefully selecting various parameters, the pulse broadening and frequency chirping due to group velocity dispersion of the medium can be balanced by making use of Kerr nonlinearity of the medium. In this analysis, the self-focusing equation used by Akhamanov and Sodha have been employed in the time domain. Various quantities of physical interest, such as pulsewidth parameter, critical values of electric field intensity and critical power for soliton propagation, have been comput...