title: Optical implementation of second-order nonlinear Volterra operators with use of triple correlation.
abstract: Following the Volterra theorem, every nonlinear operator can be implemented with a sum of integrals applied over the input. The second-order Volterra operator that describes many useful systems can be related to a single integral that is a projection of an operation called the triple correlation. This operation may be easily implemented optically and thus be incorporated into fast real-time nonlinear control systems. We present a theoretical investigation of the relation existing between the Volterra operators and the triple correlation as well as an experimental demonstration that validates the theory.
authors.affiliation: Department of Physical Electronics, Faculty of Engineering, Tel-Aviv University, Israel.
authors.forename: Z
authors.initials: Z
authors.lastname: Zalevsky
authors.forename: E
authors.initials: E
authors.lastname: Gur
authors.forename: D
authors.initials: D
authors.lastname: Mendlovic