Abstract

The paper presents partial overview of the mathematical synthesis and the physical realization of metasurfaces, and related illustrative examples. The synthesis consists in determining the exact tensorial surface susceptibility functions of the metasurface, based on generalized sheet transition conditions, while the realization deals with both metallic and dielectric scattering particle structures. The examples demonstrate the capabilities of the synthesis and realization techniques, thereby showing the plethora of possible metasurface field transmission and subsequent applications. The first example is the design of two diffraction engineering birefringent metasurfaces performing polarization beam splitting and orbital angular momentum multiplexing, respectively. Next, we discuss the concept of the electromagnetic remotely controlled metasurface spatial processor, which is an electromagnetic linear switch based on destructive interferences. Then, we introduce a non-reciprocal non-gyrotropic metasurface using a pick-up circuit radiator (PCR) architecture. Finally, the implementation of all-dielectric metasurfaces for frequency dispersion engineering is discussed.

Highlights

  • Metasurfaces, which are the two-dimensional counterparts of volume metamaterials [1,2,3], have attracted much attention over the past years

  • We shall consider two specific types of birefringences, generalized refraction and orbital angular momentum birefringences, that are both achieved by using proper non-uniform susceptibilities in (4a)–(5b)

  • The concept of generalized refraction birefringence is proposed here as a direct application of the general synthesis technique described in reference [4] and simplified for the case of birefringence in (4a)–(5b)

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Summary

Introduction

Metasurfaces, which are the two-dimensional counterparts of volume metamaterials [1,2,3], have attracted much attention over the past years. Due to their low profile, small losses and rich electromagnetic field manipulation capabilities, they are excellent spatial processors able to manipulate electromagnetic waves with ever more complex possible applications, such as generalized refraction, polarization transformation, signal multiplexing, and non-reciprocal field control. Metasurfaces are usually made of uniform or non-uniform arrangements of engineered sub-wavelength scattering particles to produce a desired scattered field. The various metasurfaces addressed here will be described and analysed more thoroughly in other future publications

Susceptibility synthesis
Scattering particle synthesis and implementation
Metallic scatterers
Dielectric scatterers
Birefringent metasurface
Generalized refraction birefringence
Orbital angular momentum birefringence
Electromagnetic remotely controlled spatial processor
Non-reciprocal non-gyrotropic metasurface
Frequency dispersion engineering
Conclusion
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