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Updated: Jul 10, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Description of a radially polarized Laguerre-Gauss beam beyond the paraxial approximation
1State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi'an 710119, China.
Abstract:
Fifth-order corrected expressions for the fields of a radially polarized Laguerre-Gauss (R-TEM(n1)) 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 (R-TEM(01)). Simulation results show that the accuracy of the fifth-order correction for R-TEM(n1) depends not only on the diffraction angle of the beam as R-TEM(01) does, but also on the order of the beam.
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