Paraxial propagation of radially polarized first-order chirped Airy Guassian beams in uniaxial crystals orthogonal to the optical axis

We have studied the propagation of radially polarized first-order chirped Airy Guassian beams (RPCAiGBs) in uniaxial crystals orthogonal to the optical axis. The intensity distribution, the maximum intensity, the propagation trajectory and velocity of the beams in different view planes are investigated in this paper. We find that for the x component (RPCAiGXBs) and the y component (RPCAiGYBs) of the RPCAiGBs, the intensity first propagates along the x and y directions, respectively. Later, the intensity of these two components flows into the side lobes along the x direction. We also examine the effects on the trajectory, the velocity and the focused performance of the RPCAiGBs caused by the distribution factor (${\chi }_0$), the first-order chirp parameter ($\beta$) and the ratio of the extraordinary refractive index ($n_e$) to the ordinary refractive index ($n_o$) ($n_e/n_o$). Thus, by choosing appropriate ${\chi }_0$, $n_e/n_o$ and $\beta$, we are able to adjust these characteristics.