Abstract

Based on the perturbative series representation of a complex-source-point spherical wave an expression for cylindrically symmetrical complex-argument Laguerre–Gauss beams of radial order n is derived. This description acquires the accuracy up to any order of diffraction angle, and its first three corrected terms are in accordance with those given by Seshadri [Opt. Lett. 27, 1872 (2002)] based on the virtual source method. Numerical results show that on the beam axis the number of orders of nonvanishing nonparaxial corrections is equal to n. Meanwhile a higher radial mode number n leads to a smaller convergent domain of radius.

© 2008 Optical Society of America

Virtual source for a Laguerre–Gauss beam

S. R. Seshadri
Opt. Lett. 27(21) 1872-1874 (2002)

Self-interaction and mutual interaction of complex-argument Laguerre-Gauss beams

S. R. Seshadri
Opt. Lett. 31(5) 619-621 (2006)

Radiation pattern of cylindrically symmetric scalar Laguerre-Gauss beams

S. R. Seshadri
Opt. Lett. 32(9) 1159-1161 (2007)

Description of a radially polarized Laguerre-Gauss beam beyond the paraxial approximation

Shaohui Yan and Baoli Yao
Opt. Lett. 32(22) 3367-3369 (2007)

Complex-argument Laguerre–Gauss beams: transport of mean-squared beam width

S. R. Seshadri
Appl. Opt. 44(34) 7339-7343 (2005)