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The vectorial structure of cosine-Gaussian beams (cGBs) is investigated in the far field regime based on the vector plane wave spectrum and the method of stationary phase.The energy flux densities of TE or TM term and the ratio of the energy flux of TE or TM term in the whole beam are demonstrated.It is found that the spot configurations of the energy flux densities associated with the TE and TM terms depend on the polarization angle and the beam parameter of the incident cGB.And the far field may be entirely transverse magnetic or transverse electric under appropriate polarization angle and beam parameter.