# Perfect Anomalous Reflection with an Aggressively Discretized Huygens' Metasurface

## TL;DR

This paper demonstrates that aggressive discretization of a Huygens' metasurface, with only two cells per period, can achieve near-perfect anomalous reflection and outperform continuous designs in efficiency.

## Contribution

It introduces a method of aggressive discretization for metasurfaces, simplifying design and improving performance over traditional continuous approaches.

## Key findings

- Achieves 99.1% power efficiency in anomalous reflection
- Discretization with only two cells per period is effective
- Surpasses continuous metasurface performance in efficiency

## Abstract

This paper investigates the discretization of a periodic metasurface and demonstrates how such a surface can achieve perfect anomalous reflection. Whilst most contemporary theoretical works on metasurfaces deal with continuous current or impedance distributions, we examine how discretization affects a metasurface, and show that in some cases one can discretize a metasurface aggressively --- to the extent of having only two cells per spatial period. Such aggressive discretization can lead to great simplifications in metasurface design, and perhaps more surprisingly, a possible performance improvement from continuous metasurfaces. Using this aggressive discretization technique, we report the design of a binary Huygens' metasurface which reflects an incident plane wave at 50$^\circ$ into a reflected direction of -22.5$^\circ$. Full-wave electromagnetic simulation shows the achievement of anomalous reflection with a power efficiency of 99.1%, which dramatically surpasses the performance of a corresponding passive continuous metasurface, for which the power efficiency is fundamentally limited to 69.6%.

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Source: https://tomesphere.com/paper/1706.02765