The multiple, active, computer-generated hologram (MACH) is a novel de
vice combining the attributes of electrically controllable diffraction
gratings and computer-generated holograms. The version discussed here
consists of a surface relief transmitting structure immersed in a nem
atic liquid crystal and sandwiched between two, planar indium tin oxid
e electrodes. Under control of a single applied voltage, the device ca
n selectively generate any one of a number of desired, uncorrelated op
tical wave fronts. The device principles are discussed and experimenta
l results presented. There is a brief discussion of the relative merit
s of the MACH and electrically addressed spatial light modulators.