Behavior of optical parametric amplification of space-time wave packets

The space-time wave packet (STWP) is a type of pulsed optical field, exhibiting distinctive characteristics, including the capacity to propagate without diffraction or dispersion and to have arbitrary group velocities. However, the intensity of the STWP is constrained by the low damage threshold of some indispensable optical elements like the spatial light modulator (SLM). While optical parametric amplification (OPA) has been proposed for amplifying STWPs, spatio-temporal (ST) characteristics of amplified STWPs remain significantly unexplored. In this article, we investigate the effects of OPA on STWPs and examine how key parameters influence the amplification results. Based on the numerical simulation results, we propose two methods to reduce the duration of the amplified STWP and one method to amplify the STWP with higher group velocities. These findings could facilitate the application of STWPs in strong-field optics.