Abstract
Abstract Based on the paraxial vectorial theory of beams propagating in uniaxial anisotropic crystal, we have derived the analytical propagation equations of elliptical Gaussian beam in uniaxial crystal along the optical axis, and given the typical numerical example to illustrate our analytical results. It is found that the x-polarized Gaussian beams split into an ordinary beam and an extraordinary beam, which independently propagate along the optical axis, and the elliptical Gaussian beam loses its initial profile with the propagation distance increasing.
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