Fifth-order corrected expressions for the fields of a radially polarized Laguerre–Gauss laser beams are derived based on perturbative Lax series expansion. When the order of Laguerre polynomial is equal to zero, the corresponding beam reduces to the lowest-order radially polarized beam . Simulation results show that the accuracy of the fifth-order correction for depends not only on the diffraction angle of the beam as does, but also on the order of the beam.
© 2007 Optical Society of America
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