Use the buttons to view the ambibuity functions for the standard, aberration-invariant, and windowed aberration-invariant systems.
However, notice that with the aberration-invariant cubic-phase system, the width (vertical dimension) of this ambiguity function is quite broad compared to that of the standard system. Hence, the cubic-phase system is expected to be much less sensitive to mis-focus aberration than the standard system.
The ambiguity function of a windowed aberration-invariant cubic-phase system is much smoother than that of the unwindowed cubic-phase system. The smoothness of this ambiguity function results in less change of the OTF as a function of mis-focus. Or, the sidelobe level of the combined optical/digital system can be smaller with a windowed cubic phase mask than with an unwindowed mask.