Abstract
Based on the non-paraxial vectorial moment theory of beam propagation, the analytical expressions of the M 2 factors for a non-paraxial hollow Gaussian beam (HGB) have been derived. The analytical formulae are further simplified for paraxial and highly non-paraxial cases. The beam waists, the divergence angles and the beam propagation factors are also depicted as functions of the parameter w 0. The divergence angles will not exceed the maximum value of 90°. When w 0 is within the scale of one time of light wavelength, the TE polarization results in the different beam propagation factors in the two transverse directions and the beam propagation factors first increase and then decrease. When w 0 is large enough, the beam propagation factors are determined only by the beam order.
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