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Updated: Jul 14, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation
Hong Luo1, Shiyang Liu, Zhifang Lin
1Surface Physics Laboratory, Fudan University, Shanghai, China.
Abstract:
A simple method is presented which, when incorporated into a simple symbolic computation code, can be used to derive the analytic perturbative Lax series for electromagnetic fields of a focused radially polarized Gaussian laser beam, up to an arbitrary power of epsilon. Here epsilon is the associated Gaussian beam diffraction angle. The method is expected to be useful, when applied with a suitable nonlinear resummation scheme, in obtaining a precise field description for focusing the output beam from an axicon.
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