Pseudorandom encoding is a method of statistically approximating desired complex values with those values that are achievable with a given spatial light modulator. Originally developed for phase-only modulators, pseudorandom encoding is extended to modulators for which amplitude is a function of phase. This is accomplished by transforming the phase statistics to compensate for the amplitude coupling. Example encoding formulas are derived, evaluated, and compared with a noncompensating pseudorandom-encoding algorithm. Compensating algorithms encode a smaller area of the complex plane and can produce more noise than is possible for arbitrary pseudorandom algorithms. However, the encoding formulas have greatly simplified numerical implementations.
© 1998 Optical Society of America
(050.1970) Diffraction and gratings : Diffractive optics
Original Manuscript: April 30, 1997
Revised Manuscript: September 17, 1997
Manuscript Accepted: October 31, 1997
Published: April 1, 1998
Robert W. Cohn, "Pseudorandom encoding of complex-valued functions onto amplitude-coupled phase modulators," J. Opt. Soc. Am. A 15, 868-883 (1998)