Controlling structures of Airy derivative pulse through time reflection

We investigate the control effect of time reflection on the propagation of Airy derivative pulses, with particular emphasis on the first-order derivative case, referred to as the Airyprime pulse. The spectrum of the Airyprime pulse undergoes either compression or expansion depending on whether the dispersion regime is normal or anomalous. By adjusting the refractive index and the position of the time reflection interface, both the main-lobe splitting distance and the shift of the high-frequency spectral peak can be effectively controlled. Additionally, the maximum peak intensity consistently appears near the temporal boundary-a property we define as temporal boundary following performance (TBFP). Further numerical simulations reveal that Airy derivative pulses exhibit a more pronounced TBFP compared with conventional Airy pulses, and this performance can be further enhanced by increasing either the refractive index or the derivative order. In the anomalous dispersion regime, the presence of time reflection increases the spectral modulation depth, resulting in transmitted pulses with higher energy and more significant velocity variations. These findings suggest potential applications in optical manipulation and pulse amplification.