Field amplitude analysis of the double ring perfect optical vortex

The double ring perfect optical vortex (DR-POV) published in Optics Express in 2020 is an optical beam obtained from the difference between two perfect optical vortices POV. As its predecessor, the DR-POV inherits the shape form invariance from topological charge and possesses a very narrow ring profile. It was proved that the DR-POV can be formed in both the paraxial and tightly focused regimes; however only normalized intensity profiles were presented. In this work we provide complementary data regarding to the field amplitude of the DR-POV to show the complex amplitude interplay when the main lobes approach in both the paraxial and tightly focused regimes.