Strong EM waves in pair plasmas are governed by nonlinearity parameter ε_p, producing attenuation over ε_p^{-2/3} wavelengths when small and shock formation when large.
Lyubarsky, Interaction of the electromagnetic precur- sor from a relativistic shock with the upstream flow - II
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Interaction of Strong Electromagnetic Waves with Unmagnetized Pair Plasmas
Strong EM waves in pair plasmas are governed by nonlinearity parameter ε_p, producing attenuation over ε_p^{-2/3} wavelengths when small and shock formation when large.