Combinatorics

Physics

Finite element method

Topology (electrical circuits)

Mathematics

Atom (system on chip)

Aperture (computer memory)

Optics

Computer graphics (images)

Metamaterial

Planar

Parallel computing

Composite material

Acoustics

Topology optimization

Materials science

Range (aeronautics)

Scale (ratio)

Computer science

Quantum mechanics

Computational science

Thermodynamics

ACS Photonics

Optical metasurfaces are planar arrangements of subwavelength meta-atoms that implement a wide range of transformations on incident light. The design of efficient metasurfaces requires that the responses of and interactions among meta-atoms are accurately modeled. Conventionally, each meta-atom's response is approximated by that of a meta-atom located in a periodic array. Although this approximation is accurate for metastructures with slowly varying meta-atoms, it does not accurately model the complex interactions among meta-atoms in more rapidly varying metasurfaces. Optimization-based design techniques that rely on full-wave simulations mitigate this problem but thus far have been mostly applied to topology optimization of small metasurfaces. Here, we describe an adjoint-optimization-based design technique that uses parametrized meta-atoms. Our technique has a lower computational cost than topology optimization approaches, enabling the design of large-scale metasurfaces that can be readily fabricated. As proof of concept, we present the design and experimental demonstration of high numerical aperture metalenses with significantly higher efficiencies than their conventionally designed counterparts.

Large-Scale Parametrized Metasurface Design Using Adjoint Optimization