The focus of light - theoretical calculation and experimental tomographic reconstruction

TLDR: In this article, numerical calculations on the field distribution in the focus of an optical system with high numerical aperture are presented, where diffraction integrals based on the Debye approximation are derived and evaluated for a radially polarized input field with a doughnut-shaped intensity distribution.

Abstract: We present numerical calculations on the field distribution in the focus of an optical system with high numerical aperture. The diffraction integrals which are based on the Debye approximation are derived and evaluated for a radially polarized input field with a doughnut-shaped intensity distribution. It is shown that this mode focusses down to a spot size significantly smaller as compared to the case of linear polarization. An experimental setup to measure the three-dimensional intensity distribution in the focal region is presented, which is based on the knife-edge method and on tomographic reconstruction.