Periodic propagation of radially and azimuthally polarized first-order chirped Airy Gaussian beams in a harmonic potential

•The radially and azimuthally polarized first-order chirped Airy Gaussian beams are taken as the object of research.•The expressions of objective beams are deduced and the evolutions of the intensity are shown.•The functions of the distribution factors and chirped parameters on objective beams are discussed.•The gradient force, maximum scattering force, Poynting vector and angular momentum of beams are investigated. By solving the (2 + 1) D Schrödinger equation with an external harmonic potential, the expressions for the radially and azimuthally polarized first-order chirped Airy Gaussian beams (RPCAiG beams and APCAiG beams) propagating in a harmonic potential are deduced. The simulation results display that the intensities of the RPCAiG beams and APCAiG beams, which exhibit periodic inversion and oscillation propagation, can be adjusted in the x-direction and the y-direction by changing the distribution factors βx and βy. Besides, by selecting negative or positive chirped parameters cx and cy, we can obtain decelerating or accelerating the beams in the x-direction and the y-direction, respectively. Furthermore, the gradient force, the maximum scattering force, the Poynting vector and angular momentum of both beams have been investigated.