Designing large, high-efficiency, high-numerical-aperture, transmissive meta-lenses for visible light
Steven J. Byrnes, Alan Lenef, Francesco Aieta, Federico Capasso

TL;DR
This paper introduces a novel design method for large, high-efficiency, high-numerical-aperture transmissive meta-lenses for visible light, enabling precise optimization of nanostructures over large areas with minimal computational cost.
Contribution
A new computational approach for designing large-area meta-lenses that predicts efficiency and optimizes nanostructure shapes with near size-independent cost.
Findings
Achieved 79% efficiency for yellow light meta-lens
Designed a dichroic meta-lens with spectral selectivity
Created a broadband meta-lens with high numerical aperture
Abstract
A metasurface lens (meta-lens) bends light using nanostructures on a flat surface. Macroscopic meta-lenses (mm- to cm-scale diameter) have been quite difficult to simulate and optimize, due to the large area, the lack of periodicity, and the billions of adjustable parameters. We describe a method for designing a large-area meta-lens that allows not only prediction of the efficiency and far-field, but also optimization of the shape and position of each individual nanostructure, with a computational cost that is almost independent of the lens size. As examples, we design three large NA=0.94 meta-lenses: One with 79% predicted efficiency for yellow light, one with dichroic properties, and one broadband lens. All have a minimum feature size of 100nm.
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