Vectorial structural properties of the far-field of an apertured circular flattened Gaussian beam

Abstract

Based on the method of stationary-phase and the mathematic techniques, analytical expressions for the TE and TM terms of an apertured circular flattened Gaussian beam (CFGB) in the far-field have been derived without any approximation, which allows one to calculate the energy flux distributions of the TE term, the TM term, and the apertured CFGB. The analytical formulae of the power of the TE term, the TM term, and the apertured CFGB are also presented. The vectorial structural properties of the far-field of an apertured CFGB are demonstrated. The influences of the f -parameter, the truncation parameter, and the parameter N on the energy flux distributions of the TE term, the TM term, and the apertured CFGB are examined. Also, the effects of the f -parameter, the truncation parameter, and the parameter N on the ratios of the power of the TE and TM terms to the power of the apertured CFGB are investigated.