Propagation of non-paraxial nonsymmetrical vector Gaussian beam

A model of non-paraxial nonsymmetrical vector Gaussian beam has been presented in this paper. Based on the property of Fourier transform and the non-paraxial vector moment theory of light beam propagation, the analytical propagation of this model beam has been systemically investigated. The results reveal that both the transversal beam widths follow a simplest hyperbolic propagating law. The analytical formulae are discussed at highly non-paraxial case, paraxial case, and special cases, respectively. The non-symmetry of the initial transversal amplitudes affects slightly on the propagation. While, the influences of non-symmetry caused by the initial transversal Gaussian half widths on propagation are remarkable. This research is helpful to evaluate the propagation of semiconductor laser beams.