Hermite-cosine-Gaussian beams propagating in uniaxial crystals orthogonal to the optical axis.

The propagation of polarized Hermite-cosine-Gaussian (HCosG) beams in uniaxial crystals orthogonal to the optical axis is investigated. Analytical formulas for a HCosG beam propagating in uniaxial crystals orthogonal to the optical axis are derived, and the propagation properties of the beam are illustrated numerically. The results show that the HCosG beam can keep its initial beam profile almost invariant for a short propagation distance. However, the initial symmetry and the linear polarization of an incident HCosG beam cannot be preserved during propagation in uniaxial crystals. In addition, the distributions of optical fields are closely related to the decentered parameter.