Theoretical Analysis of Airy-Gauss Bullets Obtained by Means of High Aperture Binary Micro Zonal Plate

We theoretically analyze the methodology for obtaining vectorial three-dimensional bullets, concretely Airy-Gauss bullets. To do this, binary micro zonal plates (BZP) were designed in order to obtain different Airy-Gauss bullets with sub-diffraction main lobe width. Following the vectorial diffraction theory, among the electrical field, we extend the theory to the magnetic field, and thus we analyze several properties such as the Poynting vector and the energy of Airy-Gauss vectorial bullets generated by illuminating the designed BZP with a temporal Gaussian circular polarized pulses.