Abstract
A simplified set of three-dimensional equations are derived for the propagation of an intense laser pulse of arbitrary strength a=eA/mc2 (where A is the magnetic vector potential of the laser pulse) in cold underdense plasma. In different limits, the equations can be easily reduced to those of previous one-dimensional models [Phys. Fluids 30, 526 (1987); Phys. Rev. A 40, 3230 (1989); 41, 4463 (1990)]. For ‖a‖≤1, an approximate set of equations from the averaged Lagrangian is obtained. The present study differs from previous work in that wave dispersion is also important for short laser pulse, and is included in the model equations. The axisymmetric two-dimensional model equations are solved numerically to show the effect of dispersion in the self-focusing process.
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