The analytical propagation equation of a nonparaxial Lorentz-Gauss beam in free space is derived on the basis of vectorial Rayleigh-Sommerfeld integral formulae. As special cases of the general formulae, the far-field expression and the scalar paraxial result are also presented. According to the obtained analytical representation, the nonparaxial propagation properties of a Lorentz-Gauss beam in free space are illustrated and analyzed with numerical examples. This research provides an approach to investigate the propagation of a Lorentz-Gauss beam beyond the paraxial approximation.
No takes yet. Share an insight, caveat, or question.
Guoquan Zhou (2008) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: