Focusing properties of annular binary phase filters

In this work, the focal behavior of optical systems with annular binary phase-only filters is theoretically investigated. Analytical expressions for the figures of merit that describe the three-dimensional light intensity distribution near the focus for this kind of filters are derived. These figures of merit are the basis for a novel procedure for designing annular binary filters with desired focal volume characteristics. As an example, we have applied this procedure to achieve superresolution in the transverse or in the axial direction.