GENERAL TREATMENT OF SPATIAL LIGHT-MODULATOR DEAD-ZONE EFFECTS ON OPTICAL CORRELATION .2. MATHEMATICAL-ANALYSIS

We present a general analytical treatment of optical correlation in co rrelators that use pixellated spatial light modulators with transmissi ve (or reflective) dead zones in both the input and filter planes. The active areas of the pixels modulate the light intensity while the dea d zones transmit (or reflect) all of the light. Our model can predict the changes in the correlation peak and the signal-to-noise ratio with changes in dead zones, calculated in Part I [Appl. Opt. 32, 6527 (199 3)] from computer simulations. This model is also a general one: It ap plies to correlators in which one spatial light modulator contaions on ly opaque dead zones while the other contains only transmissive dead z ones; it also applies to the case in which any one spatial light modul ator contains both opaque and transmissive dead zones.