numerical investigation of the laser pulse self-guiding through air in multiphoton ionization regime

In this study, the self-guiding of an ultrashort laser pulse through air is investigated. therefore, the terms of self-focusing, plasma defocusing and the pulse energy depletion due to the ionization, are considered in the wave equation. then the laser pulse spot size equation is obtained using the source-dependent expansion method. our results show that the laser pulse self-guiding occurs for the first twenty rayleigh lengths. however, the laser pulse undergoes diffraction as it propagates further along the z axis. moreover, it is seen that the back of the laser pulse is diffracted the most owing to the fact that the plasma is formed as the laser pulse propagates through air. it is also shown that the spot size variations affect the temporal and spatial profiles of the laser intensity, the laser pulse power and the ionization process.