Transverse and axial response of supergaussian rings

Here we study the focusing properties produced by apertures having supergaussian ring profiles, which contain the narrow ring as a limiting case. The supergaussian rings are compared with equivalent ring pupils for different amplitude transmission widths. Numerical results show that both types of pupils produce superresolution with great depth of focus (DOF). Though the annular pupil produces in general higher values of the superresolution and DOF for a given amplitude transmission width, the supergaussian ring concentrates better the energy into the focus.