Abstract
The accurate description of the vector hollow Gaussian beam (HGB) in the far-field is asum of two orthogonal terms: the TE and TM terms. The TE term denotes the electricfield transverse to the propagation axis, and the TM term the associated magnetic fieldtransverse to the propagation axis. The structural properties of a vector HGB, which arerelated to the energy flux distributions of the HGB and its TE and TM terms, are investigatedin the far-field. The analytical expressions for the ratios of the powers of the TE and TMterms to that of the HGB are presented without any approximation. The contributions ofthe powers of the TE and TM terms to the power of the HGB are determined by thef-parameter and the beam order. The analytical formulae of the far-field divergence anglesof the TE term, the TM term, and the HGB, which are defined by the second-ordermoment of the energy flux, are derived. The divergence angles depend on thef-parameter and the beam order. A relation among the divergence angles of theTE term, the TM term, and the HGB are also presented. The influences of thef-parameter and the beam order on the structural properties of a vector HGB arenumerically examined in the far-field.
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