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 ϵ. Here ϵ 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.
© 2007 Optical Society of America
Original Manuscript: March 6, 2007
Revised Manuscript: April 17, 2007
Manuscript Accepted: April 17, 2007
Published: June 5, 2007
Hong Luo, Shiyang Liu, Zhifang Lin, and C. T. Chan, "Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation," Opt. Lett. 32, 1692-1694 (2007)