A detailed investigation of a Generalized Hermite cosh-Gaussian beam propagating in uniaxial crystals orthogonal to the optical axis

In this paper, we study the propagation properties of a Generalized Hermite cosh-Gaussian beam (GHCGB) in uniaxial crystals orthogonal to the optical axis. Analytical expression of the GHCGB at the receiver plane is derived using Huygens-Fresnel integration. Some analyses are investigated to illustrate the effect of variations in crystal refractive indices, source beam parameters and propagation distance on the beam intensity profiles. Results indicate that a GHCGB preserves its initial profile nearly invariant for a small propagation distance and evolves into an elliptical Gaussian-like beam surrounded by the smaller beamlets in the far field due the effect of the uniaxial crystal. The beam width and the intensity distribution of received beam can be controlled by adjusting the source beam parameters and the ratio of refractive indices of the crystal. We anticipate that our results obtained in this research will be useful for the control of optical particle.