Spatial integration by a dielectric slab and its planar graphene-based counterpart

In this contribution a new approach to perform spatial integration is presented using a dielectric slab. Our approach is indeed based on the fact that the transmission coefficient of a simple dielectric slab at its mode excitation angle matches the Fourier-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)OPCOB80030-401810.1016/j.optcom.2014.11.007]. Such integrators have the potential to be used in ultrafast analog computation and signal processing.