SUPPLEMENTARY NOTES
Companion report isHigh-bandwidth optical Communications will greatly benefit from optical switches since they could eliminate the optical/electronic conversion. Optical logic gates allowing data regeneration, gain, cascadability, would allow even more complex all-optical routing functions. In this work we report on an in-depth study of an optical logic gates based on spatial and spatio-temporal solitons. Optical solitons that propagate long distances without change, act as the natural carrier of binary data due to their stability to perturbations and intrinsic threshold. The non-diffracting nature of spatial optical solitons lends to their use in a class of angular deflection logic gates in which a weak signal can alter the propagation of a strong pump in order to change the device state from high to low, thereby implementing a controlled inverterwhich is cascadable to produce logically-complete, multi-input NOR.Reduced forms of the multi-dimensional, nonlinear spatio-temporal wave equation are solved numerically to study the spatial collision and dragging interactions between orthogonally-polarized spatial solitons and spatio-temporal solitary waves. These three-terminal angular deflection gates, provide complete logic-level restoration, fanout greater than two with large noise margin, and cascadability. In addition, the spatiotemporal logic gates are expected to have pj switching energies using enhanced nonlinear media, and ps switching times through temporal pipelined operation.