Abstract
We propose the synthesis of frequency dispersion of layered structures based on the design of multi-ordered optical filters using nanocircuit concepts. Following the well-known insertion loss method commonly employed in the design of electronic and microwave filters, here we theoretically show how we can tailor optical dispersion as we carry out the design of several low-pass, high-pass, band-pass and band-stop filters of different order with a (maximally flat) Butterworth response. We numerically demonstrate that these filters can be designed by combining metasurfaces made of one or two materials acting as optical lumped elements, and, hence, leading to simple, easy to apply, design rules. The theoretical results based on this circuital approach are validated with full-wave numerical simulations. The results presented here can be extended to virtually any frequency dispersion synthesis, filter design procedure and/or functionality, thus opening up exciting possibilities in the design of composite materials with on-demand dispersion and high-performance and compact optical filters using one or two materials.
Highlights
We propose the synthesis of frequency dispersion of layered structures based on the design of multi-ordered optical filters using nanocircuit concepts
Metatronic circuits control the flow of displacement current and, to this end, nanostructures play the role of lumped circuit elements [14]
We present designs of low-pass, high-pass, band-pass and band-stop filters using stacked metasurfaces, demonstrating that such components can be readily designed as the combination of simple lumped components consisting of electrically thin slabs of one or two materials
Summary
We propose the synthesis of frequency dispersion of layered structures based on the design of multi-ordered optical filters using nanocircuit concepts. The pair of slabs operates as the parallel connection of capacitor and inductor elements (i.e., a first-order band-pass filter).
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