Accurate expansion of cylindrical paraxial waves for its straightforward implementation in electromagnetic scattering
Optics
2018-03-14 v1 Classical Physics
Abstract
The evaluation of vector wave fields can be accurately performed by means of diffraction integrals, differential equations and also series expansions. In this paper, a Bessel series expansion which basis relies on the exact solution of the Helmholtz equation in cylindrical coordinates is theoretically developed for the straightforward yet accurate description of low-numerical-aperture focal waves. The validity of this approach is confirmed by explicit application to Gaussian beams and apertured focused fields in the paraxial regime. Finally we discuss how our procedure can be favorably implemented in scattering problems.
Keywords
Cite
@article{arxiv.1705.08837,
title = {Accurate expansion of cylindrical paraxial waves for its straightforward implementation in electromagnetic scattering},
author = {Mahin Naserpour and Carlos J. Zapata-Rodriguez},
journal= {arXiv preprint arXiv:1705.08837},
year = {2018}
}