# Designing the response-spectra of microwave metasurfaces: theory and experiments

## TL;DR

This paper introduces a new theory for designing microwave metasurfaces that can precisely control electromagnetic wave responses, validated through experiments and simulations.

## Contribution

The paper extends the leaky-eigenmode theory to the microwave regime, enabling parameter-free design of metasurfaces.

## Key findings

- The extended LEM theory was validated with simulations and experiments on a benchmark metasurface.
- The theory enables the design of microwave metasurfaces with freely tailored line-shapes.
- A bound state in the continuum was successfully generated and verified experimentally.

## Abstract

Metasurfaces composed by arrays of coupled plasmonic resonators have attracted tremendous attention due to their extraordinary abilities to manipulate electromagnetic (EM) waves. However, existing theories for such systems are either empirical with model parameters obtained by fitting with simulations, or can only be applied to high-frequency systems where metals exhibit finite permittivity. Here, we extend our recently established leaky-eigenmode (LEM) theory to the microwave regime where metals exhibit infinite permittivity, with all parameters directly computable without fitting procedures. After validating our theory with both simulations and experiments on a benchmark metasurface, we illustrate how to utilize the theory to guide designing microwave metasurfaces with freely tailored line-shapes, including particularly the generation of a bound state in the continuum. All theoretical predictions are verified by experiments and simulations. Our study provides a powerful tool to guide designing functional microwave meta-devices for various applications.