The invention provides an Airy
pulse time domain evolution trajectory regulation and control method based on
liquid crystal orientation design, and relates to the technical field of ultrafast
optics. The method comprises the following steps: firstly, constructing a theoretical model of Airy
pulse transmission in a
liquid crystal medium, and establishing a nonlinear mapping relation between a
liquid crystal molecular orientation angle and
group velocity dispersion and a nonlinear mapping relation between the liquid
crystal molecular orientation angle and third-order dispersion; establishing a polynomial function relationship between the dispersion parameter and the trigonometric function term of the liquid
crystal molecular orientation angle by utilizing
numerical fitting based on the mapping relationship; designing a
spatial distribution rule of liquid
crystal molecules along a propagation direction according to the target
time domain trajectory, and determining dispersion distribution in a liquid crystal medium by establishing
linear correlation between trigonometric function terms and propagation distances; and finally, carrying out orientation arrangement on the liquid crystal molecules. The spatial orientation gradient of the liquid crystal is designed, a dynamic dispersion environment is constructed on a transmission path, and accurate linear regulation and control of self-acceleration, self-deceleration and track bending degree of the Airy pulse are achieved.