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Nonreciprocity in space-time modulated photonic crystals has beeninvestigated in the context of nonreciprocal propagation and polarization.Here, we investigate a reconfigurable nonreciprocal wave growth in space-timemodulated crystals. Imposing an adaptable progressive phase shift betweensuccessive time-modulated cells results in blue and red shifts of the forwardand backward momentum band gaps around the typical 0.5 growth normalizedfrequency. We applied this spatiotemporal scheme to engineering the dispersionrelation of a loaded transmission line$-$a 1D periodic structure$-$in themicrowave regime.

Reconfigurable non-reciprocal wave growth in spatiotemporal modulated 1-D crystal