Propagation properties of Airyprime pulses in relaxing nonlinear media

Abstract In recent years, Airyprime pulses have attracted much attention in the field of nonlinear optics due to their diffraction-free, self-accelerating, and self-healing properties, as well as their unique oscillating tail structure. However, Airyprime pulses are affected by higher-order dispersion and Raman effect in the relaxation nonlinear medium, and their propagation properties have not been thoroughly studied. To this end, the propagation properties of Airyprime pulses in relaxing nonlinear media are systematically investigated in this article by using the stepwise Fourier algorithm. The results show that the propagation behavior of the pulse is affected by multiple factors such as dispersion, self-phase modulation, and Raman effect, among which the third-order dispersion and Raman effect play a key role in the propagation characteristics. By adjusting the parameters of the medium and the pulse’s initial conditions, the pulse’s time-domain propagation trajectory and spectral characteristics can be effectively controlled. These research results provide theoretical support for nonlinear optical applications and important guidance for the design of distributed fiber-optic sensing systems in geophysics, showing a broad application prospect.