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Electromagnetic pulses with tilted pulse fronts are instrumental in enhancingthe efficiency of many light-matter interaction processes, with prominentexamples including terahertz generation by optical rectification, dielectriclaser acceleration, ultrafast electron imaging and X-ray generation from freeelectron lasers. Here, we find closed-form expressions for tilted-pulse-frontpulses that capture their exact propagation dynamics even in deeply nonparaxialand sub-single-cycle regimes. By studying the zero-bandwidth counterparts ofthese pulses, we further obtain classes of nondiffracting wavepackets whosephase fronts are tilted with respect to the direction of travel of theintensity peak. The intensity profile of these nonparaxial nondiffractingwavepackets move at a constant velocity that can be much greater than or muchless than the speed of light, and can even travel backwards relative to thedirection of phase front propagation.

Ultrashort Tilted-Pulse-Front Pulses and Nonparaxial Tilted-Phase-Front Beams