A new class of axially apodizing continuously transmitting filters is analytically determined and numerically implemented. The longitudinal and lateral properties of the associated point-spread function are displayed both for a single filtered lens and for a combination with a laterally superresolving mask in a confocal configuration. Interesting imaging properties relative to the increase in axial contrast and transverse resolving power for dephasing ring-free pupil filters of moderate losses in luminosity are predicted.
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