Two-pupil synthesis of optical transfer functions: 2: Pupil function relationships

Although different methods have been proposed for realizing bipolar point spread functions in hybrid two-channel incoherent spatial filtering systems, each method relies either on interference or noninterference between the two channels to achieve the desired synthesis. It is shown that the pupil functions appropriate for synthesis in these two regimes are related through a linear transformation. Furthermore, the pupil functions appropriate for a noninteractive synthesis can be used to specify pupil functions appropriate for any other synthesis.