Comparison of two synthesis methods for birefringent metasurfaces

Achouri, Karim; Lavigne, Guillaume; Caloz, Christophe

doi:10.1063/1.4972195

Cited by 23 publications

(21 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, the equalities in (43) are generally not satisfied and the reversed operation is thus nonreciprocal. Accordingly, we generally have that (44) Note that if the system is spatially symmetric (in the zdirection) and that the field E 2 is generated at port 2 such that it contains only the fundamental harmonic, then the equality S ω→ω 21 = S ω→ω 12 is respected provided that the conditions (40) are satisfied. However, if the field E 2 contains only the frequency 2ω, then the equality S ω→2ω 21 = S 2ω→ω 12 is generally not satisfied (even if the conditions (40) are satisfied).…”

Section: Appendix B Discussion On the Nonreciprocity Of Metasurfacesmentioning

confidence: 99%

“…Indeed, assuming that the nonlinear susceptibilities only have intrinsic permutation symmetry (χ ijk = χ ikj as is the case of most nonlinear systems [37]) there is a total number of 108 unknown susceptibility components in (8) for only 4 equations. Note that, in the case of linear susceptibilities, some susceptibility components may be related to each other through the reciprocity conditions (40) (see Appendix B), which reduce the total number of independent unknowns. Such a consideration is not (yet) possible for the case of second-order nonlinear susceptibility tensors since there are currently no reciprocity relations available that would apply to these nonlinear susceptibility tensors, as discussed in Appendix B.…”

Section: A Homogenization Techniquementioning

confidence: 99%

“…Nevertheless, if the incidence angle is small and/or the spatial variations of the susceptibilities are slow compared to the wavelength at 2ω, then it is possible to neglect the presence of the spatial derivatives (small angle approximation). Accordingly, it is possible to obtain an approximate evaluation of the scattering from the metasurface, which gets worse as the incidence angle and/or spatial variations increase [40].…”

Section: B Scattering Analysismentioning

confidence: 99%

See 2 more Smart Citations

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

Achouri¹,

Bernasconi²,

Butet³

et al. 2018

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

We propose an extensive discussion on the homogenization and scattering analysis of second-order nonlinear metasurfaces. Our developments are based on the generalized sheet transition conditions (GSTCs) which are used to model the electromagnetic responses of nonlinear metasurfaces. The GSTCs are solved both in the frequency domain, assuming an undepleted pump regime, and in the time-domain, assuming dispersionless material properties but a possible depleted pump regime. Based on these two modeling approaches, we derive the general secondharmonic reflectionless and transmissionless conditions as well as the conditions of asymmetric reflection and transmission. We also discuss and clarify the concept of nonreciprocal scattering pertaining to nonlinear metasurfaces.

show abstract

Section: Appendix B Discussion On the Nonreciprocity Of Metasurfacesmentioning

confidence: 99%

Section: A Homogenization Techniquementioning

confidence: 99%

Section: B Scattering Analysismentioning

confidence: 99%

See 1 more Smart Citation

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

Achouri¹,

Bernasconi²,

Butet³

et al. 2018

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Twisting stacked metasurfaces can produce other complex functionalities [30], including polarization rotators and polarizers. Similar principles can also be used to tailor the complex diffraction response of a periodic metasurface system, in order to control the excitation of different diffraction orders [33][34][35].…”

Section: Box 1 Geometry Of Stacked Meta-atoms and Layered Metasurfacesmentioning

confidence: 99%

Tailoring Light with Layered and Moiré Metasurfaces

Wang

Mazor

et al. 2021

Trends in Chemistry

View full text Add to dashboard Cite

Optical metasurfaces are assemblies of subwavelength, artificially designed inclusions forming planarized devices with unprecedented capabilities to manipulate electromagnetic waves and facilitate multiple functionalities. Recent topical efforts in this research area have been focused on pushing forward the frontiers of enhanced light-matter interactions exploiting new concepts and fabrication capabilities. In this context, layered and twisted metasurfaces have showcased interesting features, including flexibility and tunability in manipulating light, contributing to the development of moiré physics for light. Here, we provide an overview on the state-of-art layered and stacked moiré metasurfaces. Freespace multifunctional metadevices are first discussed, followed by recent discoveries in polaritonics and twistronics for twisted hyperbolic metasurface bilayers. We conclude with a discussion on recent advances in the nanofabrication of moiré metasurfaces and remark on their future potential applications. Emerging Strategies for Advanced Optical Metasurfaces Using Twisting and StackingOptical metasurfaces (see Glossary), commonly recognized as the 2D counterpart of bulk metamaterials, are composed of subwavelength planarized inclusions [1,2]. Unlike metamaterials, metasurfaces usually have a thickness smaller than the operational wavelength in free space, holding the promise for next-generation multifunctional, compact, and integrated functional optical devices. Their ultrathin nature can significantly ease nanofabrication requirements compared with metamaterials, making them compatible for mass production in the semiconductor industry. One essential step in designing metasurfaces is to control light interactions with its local functional composites, so-called meta-atoms, thus enabling unprecedented control of the local scattering processes in terms of phase, amplitude, polarization, frequency, dispersion, and more [3][4][5][6]. In this way, a designer metasurface can be endowed with unprecedented control in tailoring the impinging light. This process inherently requires resonant light-matter interactions in meta-atoms, given the small light-matter interaction length. Tremendous efforts have been made in searching for better materials and novel metasurface designs for improved performance. For composite materials, metals can support enhanced photonic local density of states due to plasmonic phenomena, but may suffer from large Ohmic loss [7][8][9]. On the contrary, all-dielectric materials have significantly lower loss, but typically require a larger thickness, in the order of the wavelength in the material, limiting the field localization and enhancement of light-matter interactions [10]. Various geometries have been explored to realize metasurfaces, including split ring resonators, nanorods, and V-shape nanoantennas, supporting optical resonances in subwavelength meta-atoms [7,10]. These designs typically rely on heavy optimization techniques to obtain the best responses, requiring computational resources and tim...

show abstract

“…A meta-axicon composed of concentrically arranged plasmonic nano-apertures can provide phase shifts for the transmitted light [19]. An anisotropic frequency selective surface with anisotropic responses in orthogonal directions made of cross-dipole elements [20,21], split square resonators [22,23], layered square patches with a cross central slot [24], dielectric nanofins [25] have all been shown to convert a linearly polarized wave from a single point source into an LG beam. A plane radio wavefront can also be twisted using a properly shaped surface, e.g.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Laguerre–Gaussian mode purity produced by three-dimensional-printed microwave spiral phase plates

Isakov

Allen

et al. 2020

R. Soc. open sci.

View full text Add to dashboard Cite

Computer-aided design software and additive manufacturing provide flexibility for the direct fabrication of multi-material devices. This design and fabrication versatility has been investigated for the manufacture of dielectric spiral phase plates (SPP) that generate electromagnetic waves with helical wavefronts. Three types of SPPs designed to produce an orbital angular momentum (OAM) mode number l = |1| were additively manufactured using material extrusion and polyjet fabrication methods. The OAM mode characteristics of the transformed helical microwaves as a function of the SPP geometrical features were investigated experimentally in the 12–18 GHz frequency range. The SPPs were further combined with an additively manufactured dielectric lens that provided a marked improvement in OAM mode purity. Finally, multiplexing and de-multiplexing of two OAM modes were demonstrated successfully using an optimum SPP geometry and arrangement.

show abstract

Comparison of two synthesis methods for birefringent metasurfaces

Cited by 23 publications

References 28 publications

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

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

Tailoring Light with Layered and Moiré Metasurfaces

Evaluation of the Laguerre–Gaussian mode purity produced by three-dimensional-printed microwave spiral phase plates

Contact Info

Product

Resources

About