Axicon lenses with chiral-focusing properties modeling by means of functions

Axicon lenses exhibit a large focal depth that generates an energy distribution, resulting in non-diffracting beams' generation. These light structures are called Bessel beams and show numerous important applications in opti-cal signal processing, imaging, transparent material processing, and even in metal drilling/cutting manufactur-ers. Asymmetrical and twisted axicon-lenses are boundary conditions on the Maxwell equation able to generate complex-structured light fields with specially designed intensity, phase, and polarization distributions. This pa-per presents a set of analytical functions that allows the definition of such surfaces with absolute freedom in relation to the lens profile. Obviously, before manufacturing any lens, it is necessary to compute its electromag-netic output in order to save resources. In this sense, we have studied some of these lenses by simulation using the well-known finite difference method in the time domain. Some necessary verification related to conservative magnitudes, such as the Poynting vector, have been done analytically and numerically. The numerical results show the distribution of iso-values corresponding to the electric field and 3D-vectorial representation of the chi-rality flux and the Poynting vector. Finally, by means of discrete fast Fourier transform, it is shown the field distributions as well as the power before and after the lens per frequency.