Pseudorandom Encoding of Fully Complex Modulation to Bi-Amplitude Phase Modulators

Pseudorandom encoding is a statistically-based, pixel-by-pixel mapping of complex valued modulations onto modulators that do not produce all complex values.1 The resulting far-field diffraction pattern closely approximates that from the desired, but unimplementable, complex modulation. Since the methed is point-oriented, the desired complex modulation can be synthesized and encoded without resorting to time consuming constrained global optimizations e.g. simulated annealing,2 genetic,3 and Gerchberg Saxton4 algorithms. In addition to reducing design time, the resulting diffraction patterns can have reasonably high diffraction efficiencies and low levels of background noise.