Vectorial Structural Properties of a Hollow Gaussian Beam Close to the Source

摘要

Based on the vector angular spectrum representation of an optical beam and appropriate mathematical methods, the analytical vectorial structure of the hollow Gaussian beam (HGB) close to the source is derived without any approximation. The analytical expressions of the energy flux for the transverse electric (TE) term, the transverse magnetic (TM) term and the HGB are presented in the source region, respectively. The energy flux distributions of the TE term, the TM term and the HGB close to the source are illustrated with numerical examples. Moreover, the contribution of the evanescent plane waves to the energy flux distributions of the TE term, the TM term and the HGB is examined in the source region. This research is beneficial to the atom manipulation with a HGB.