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The leading amplified spike in backward Raman amplifiers can reach nearlyrelativistic intensities before the saturation by the relativistic electronnonlinearity, which sets an upper limit to the largest achievable leading spikeintensity. It is shown here that this limit can be substantially exceeded bythe initially sub-dominant spikes, which surprisingly outgrow the leading spikeafter its nonlinear saturation. Furthermore, an initially negligible groupvelocity of the amplified pulse in strongly under-critical plasma appears to becapable of delaying the filamentation instability in the nonlinear saturationregime. This enables further amplification of the pulse to even larger outputfluences.

Exceeding the leading spike intensity and fluence limits in backward Raman amplifiers