Title: Spatial Integration by a Dielectric Slab Waveguide and its Planar Graphene-based Counterpart,
Abstract: Motivated by the recent progress in analog computing [Science 343, 160
(2014)], a new approach to perform spatial integration is presented using a
dielectric slab waveguide. Our approach is indeed based on the fact that the
transmission coefficient of a simple dielectric slab waveguide at its mode
excitation angle matches the Green's function of first order integration.
Inspired by the mentioned dielectric-based integrator, we further demonstrate
its graphene-based counterpart. The latter is not only reconfigurable but also
highly miniaturized in contrast to the previously reported designs [Opt.
Commun. 338, 457 (2015)]. Such integrators have the potential to be used in
ultrafast analog computation and signal processing.