Abstract
The propagation of an intense short pulse laser, Gaussian in time, in plasma is studied when the quiver velocity of the electron approaches the velocity of light. The group velocity of the pulse is an increasing function of intensity; hence the peak of the pulse travels faster than the front causing pulse front sharpening. Further, the non-linear refractive index of the plasma acquires a radial profile with a maximum on the axis, causing self-focussing of the pulse. The peak of the pulse converges more rapidly than the front of the pulse. This leads to an enhancement in the group of the peak causing stronger pulse front sharpening.
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