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Light bullets dynamics in nonlinear optical media

The solitons have to satisfy the requirement of being self- guided in bulk media in view of their potential applications in information processing, photonic switching and all- optical digital logic. Therefore, there is a growing interest for spatiotemporal solitons, characterized by a balance of diffraction and dispersion with respectively nonlinear spatial and temporal self-focusing. Such solitons are called 'light bullets.' Due to their complete localization in space and time and low energy easy to be dissipated, light bullets appear to be the best candidate for carrying the information that has to be treated in all- optical logic circuits. However, such pulses are inherently unstable to propagation in Kerr media. We consider the conditions for the light bullets generation in the media with saturating nonlinearity, like polydiacetylene para- toluene sulfonate. The simulations show that the pulse above critical energy is trapped provided its initial parameters belong to the range reasonably close to the one predicted by our analytical approach. Thus, in spite of the initial asymmetry in the final stage of evolution the symmetric stable pulse i.e., light bullet will be formed. Light bullets are exceptionally robust self-guided objects that can be generated even far form stable equilibrium. The initial pulse parameters without restrictions on their symmetry and their vicinity to the equilibrium are much less involving to realize in an experiment. The influence of the modulation instability is also considered.