Synthesis of electromagnetic metasurfaces: principles and illustrations

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 "transistor" metasurface, 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 spatial dispersion engineering is discussed.

Simultaneous enhancement of light extraction and spontaneous emission using a partially reflecting metasurface cavity

“…4. It may be seen that the spatial variations of the scattering parameters are relatively small on the scale of the GaN wavelength, indicating that corresponding susceptibility responses should be easily achievable with practical scattering particles, whose size is typically in the order of λ eff /5, using conventional mapping techniques [18,26]. where the metasurfaces scatter all the emitted waves perpendicularly to the LED, leading to both enhanced LEE, via increased power extraction, and enhanced SER, via increased field confinement.…”

“…S (1) GaN→air is the transmission coefficient of MS1 from GaN to air and S (1) GaN→GaN is the reflection coefficient of MS1 at the GaN side. The Sparameters functions provide precious insight into the spatial variations of the surface susceptibilities, and hence on the realizability of the metasurface, which is ultimately discretized into sub-wavelength cells (< λ eff /5), and allow one to determine the geometry of the scattering particles using standard parametric mapping [18,26].…”

Homogenization and Scattering Analysis of Second-Harmonic Generation in Nonlinear Metasurfaces

“…where the primed tensors are those that have been rotated according to the operations provided in Appendix C. At this point, it is important to realize that the nonlinear scattering tensors defined in (21) are third-order tensors and not just simple matrices like the conventional linear scattering tensors used in Appendix A and in Eqs. (11) and (12).…”

“…This means that S ijk ab = S ikj ab , where i, j, k = {x, y} and a,b = {1, 2}. Consequently, the 32 scattering parameters in (21) are reduced to 24 independent parameters. Hence, a second-order nonlinear metasurface exhibits much more degrees of freedom available to control the scattered fields compared to conventional linear metasurfaces.…”

Metamaterials for Microwave Radomes and the Concept of a Metaradome: Review of the Literature

“…Despite their small thickness, metasheets can fully control reflection, absorption, and transmission of electromagnetic waves (e.g., plane, surface or guided), including polarization, phase, and amplitude of the transmitted wave [35,[43][44][45]. As shown in literature, it is theoretically possible to design devices for almost arbitrary manipulations of plane waves, which results in such devices as self-oscillating teleportation metasheets, transmitarrays, double current sheets, and metasheets formed by only lossless components [46].…”