Analytical expressions for the three components of nonparaxial propagation of a polarized Lorentz–Gauss beam in uniaxial crystal orthogonal to the optical axis are derived and used to investigate its propagation properties in uniaxial crystal. The influences of the initial beam parameters and the parameters of the uniaxial crystal on the evolution of the beam-intensity distribution in the uniaxial crystal are examined in detail. Results show that the statistical properties of a nonparaxial Lorentz–Gauss beam in a uniaxial crystal orthogonal to the optical axis are closely determined by the initial beam’s parameters and the parameters of the crystal: the beam waist sizes—, , and —not only affect the size and shape of the beam profile in uniaxial crystal but also determine the nonparaxial effect of a Lorentz–Gauss beam; the beam profile of a Lorentz–Gauss beam in uniaxial crystal is elongated in the or direction, which is determined by the ratio of the extraordinary refractive index to the ordinary refractive index; with increasing deviation of the ratio from unity, the extension of the beam profile augments. The results indicate that uniaxial crystal provides an effective and convenient method for modulating the Lorentz–Gauss beams. Our results may be valuable in some fields, such as optical trapping and nonlinear optics, where a light beam with a special profile and polarization is required.
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