Abstract: A method for operating a reservoir computer includes receiving an input symbol and applying a time mask to the input symbol to produce a plurality of time multiplexed nodes. The method includes modulating, using the plurality of time nodes, a plurality of frequency channels to produce a plurality of frequency nodes and multiplexing the plurality of frequency nodes to produce a plurality of multiplexed frequency nodes. The method also includes coupling the multiplexed frequency nodes into a reservoir that includes a non-linear element and receiving a delayed plurality of time-frequency multiplexed nodes from the reservoir. The method also includes demultiplexing the delayed plurality of multiplexed frequency nodes to produce a plurality of delayed time nodes and modulating, using the plurality of delayed time nodes and the input time nodes, the plurality of frequency channels. The method further includes outputting a response based on the plurality of delayed time nodes.

Abstract: The optical device can comprise a substrate having a first face opposite a second face, a thickness between the first face and the second face, the first face and the second face being planar, the first face being parallel the second face, the substrate being transparent to an electromagnetic radiation in a given spectrum; a planar polarization-dichroic focusing lens covering the first face, the lens having a first focusing power for a first polarization of the electromagnetic radiation and a second focusing power for a second polarization of the electromagnetic radiation, the second focusing power being different from the first focusing power; and a planar polarization-dichroic mirror covering the second face, the mirror being reflective to the first polarization and transparent to the second polarization.

Abstract: The optical device can comprise a substrate having a first face opposite a second face, a thickness between the first face and the second face, the first face and the second face being planar, the first face being parallel the second face, the substrate being transparent to an electromagnetic radiation in a given spectrum; a planar polarization-dichroic focusing lens covering the first face, the lens having a first focusing power for a first polarization of the electromagnetic radiation and a second focusing power for a second polarization of the electromagnetic radiation, the second focusing power being different from the first focusing power; and a planar polarization-dichroic mirror covering the second face, the mirror being reflective to the first polarization and transparent to the second polarization.