The possibility of realizing the fundamental logic gates AND, OR, and NOT, which operate in parallel through two interlinked χ<sup>(2)</sup> interactions of sum- and difference-frequency generations in a single type I β-BaB<sub>2</sub>O<sub>4</sub> crystal, is presented both theoretically and experimentally. Optical bits are encoded and read as amplitude modulation of the harmonics of a Nd:YAG laser. Owing to the excellent optical resolution of the system, data can be encoded at high density. The implementation of an all-optical parallel half-adder is also shown. The output fields can be frequency converted to implement an all-optical looping circuit.
© 2004 Optical Society of America
(200.3050) Optics in computing : Information processing
(200.3760) Optics in computing : Logic-based optical processing
(230.1150) Optical devices : All-optical devices
(230.4320) Optical devices : Nonlinear optical devices
Emiliano Puddu, Alessia Allevi, Alessandra Andreoni, and Maria Bondani, "All-optical logic operations by means of two interlinked χ(2) interactions in a single crystal," J. Opt. Soc. Am. B 21, 1839-1847 (2004)