Abstract
The propagation of a short and intense laser pulse in a plasma channel is investigated through the nonlinear paraxial wave equation. An analytic condition describing quasi-matched laser propagation (i.e., when the second order normalized-intensity-weighted transverse moment of the laser-pulse remain constant) is obtained. For any arbitrary temporal laser pulse profile and any prescribed transverse density profile in the channel, we determine the laser intensity distribution along the pulse, i.e., the slice-dependent laser waist, ensuring quasi-matched propagation. For the case of a Gaussian laser with an initially uniform spot throughout the pulse, we determine the optimal channel depth that minimizes spot size oscillations. The analytical and semi-analytical results obtained for both cases are validated through comparison with numerical simulations.
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