We investigate the optimal designs of binary phase and amplitude filte
rs (BPAFs) for the key correlation metrics of peak intensity, peak-to-
correlation energy, SNR, and discrimination. These filters may be impl
emented on binary polarization-rotating spatial light modulators. We p
resent simulation results comparing performance to conventional binary
phase-only filters (BPOFs) and illustrating trade-offs between the di
fferent performance criteria in terms of the filter design parameter.
We also extend the generalization to three-level phase and amplitude f
ilters with a nonzero region of support and demonstrate that optimal t
hree-level BPAFs can provide clearly superior performance to optimal t
hree-level BPOFs.