Abstract
Based on the angular spectrum representation of an optical beam and the methodof stationary phase, the analytical vectorial structure of an apertured hollowGaussian beam in the far-field has been derived without any approximation. Theanalytical expressions of the energy flux of the TE term, the TM term, and theapertured hollow Gaussian beam are also presented. The energy flux distributions ofthe TE term, the TM term, and the apertured hollow Gaussian beam arenumerically depicted in the far-field reference plane. The influences of thef-parameter, the truncation parameter, and the beam order on the energy flux distributions of the TEterm, the TM term, and the apertured hollow Gaussian beam are examined. Also, the effects of thef-parameter, the truncation parameter, and the beam order on the ratios of the total energyfluxes of the TE and the TM terms to that of the whole beam are investigated.
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