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[en] Asymmetric self-phase modulation (SPM) of an intense laser pulse propagating in a plasma is analyzed in the case of resonance and non-resonance. The effect of wakefield modulates the refractive index asymmetrically and results in the asymmetry of pulse SPM. This asymmetry releases when the initial electron density or the pulse width is far from the resonant value. And analytical expressions for the nonlinear phase and instantaneous frequency shifts are obtained in the weakly relativistic limit
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