title: Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation.
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.
authors.affiliation: Surface Physics Laboratory, Fudan University, Shanghai, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Luo
authors.forename: Shiyang
authors.initials: S
authors.lastname: Liu
authors.forename: Zhifang
authors.initials: Z
authors.lastname: Lin
authors.forename: C T
authors.initials: CT
authors.lastname: Chan