Abstract
We derive a generalized expression for the spatio-temporal modulational instability (MI) gain in a metamaterial incorporating linear dispersion terms up to fourth order and nonlinear dispersion terms up to second order and study the influence of the varying input pulse widths and carrier frequency on MI gain. For a single-cycle pulse we have found new regimes of spatio-temporal MI, symmetrically located with respect to the central gain maximum at q = 0 (q being the transverse spatial frequency of the perturbation). The gain in these new branches of MI is much higher compared to the central branch.
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