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We theoretically prove that electromagnetic beams propagating through anonlinear cubic metamaterial can exhibit a power flow whose direction reversesits sign along the transverse profile. This effect is peculiar of the hithertounexplored extreme nonlinear regime where the nonlinear response is comparableor even greater than the linear contribution, a condition achievable even atrelatively small intensities. We propose a possible metamaterial structure ableto support the extreme conditions where the polarization cubic nonlinearcontribution does not act as a mere perturbation of the linear part.

Transverse power flow reversing of confined waves in extreme nonlinear metamaterials