One-dimensional integrals to calculate the two-dimensional Rayleigh-Sommerfeld diffraction integrals for non-rotationally symmetric functions and general polarizing illuminating fields

摘要

The recently reported (Alcala Ochoa, 2018) approximation to the Rayleigh-Sommerfeld diffraction integrals (RSDI) is used to obtain a set of expressions to calculate the diffraction properties of non-rotationally symmetric optical systems illuminated with polarization fields. It is proved that the three two-dimensional integrals of RSDI can be expressed accurately from two to eight one-dimensional integrals depending of the type of polarization studied. It is proved also that previous developments based on Taylor's approximations to the RSDI can be described by these new expressions.