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We optimize optical performance of metasurfaces based on periodically corrugated silicon layers by adjusting the Fourier coefficients of their surface profile. For smooth corrugations, we demonstrate an excellent quantitative accuracy of…

Optics · Physics 2019-09-04 Alexander A. Antonov , Maxim V. Gorkunov

Surfaces of constant negative curvature in Euclidean space can be described by either the sine-Gordon equation for the angle between asymptotic directions, or a Monge-Ampere equation for the graph of the surface. We present the explicit…

solv-int · Physics 2009-10-28 E. V. Ferapontov , Y. Nutku

One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using X-ray sources. For amorphous (non-crystalline) samples, the raw data can be interpreted as the modulus of the…

Numerical Analysis · Mathematics 2020-04-02 Alexander Barnett , Charles L. Epstein , Leslie Greengard , Jeremy Magland

We introduce a paradigm for accurate design of metasurfaces for intricate beam manipulation, implementing functionalities previously considered impossible to achieve with passive lossless elements. The key concept involves self-generation…

Optics · Physics 2016-12-21 Ariel Epstein , George V. Eleftheriades

The reflection of an optical wave from a metal, arising from strong interactions between the optical electric field and the free carriers of the metal, is accompanied by a phase reversal of the reflected electric field. A far less common…

We consider reflection of electromagnetic waves from layered structures with various dielectric and magnetic properties, including metamaterials. Assuming periodic variations in the permittivity, we find that the reflection is in general…

Other Condensed Matter · Physics 2007-11-21 G. Brodin , M. Marklund , L. Stenflo , P. K. Shukla

All-dielectric optical metasurfaces can locally control the amplitude and phase of light at the nanoscale, enabling arbitrary wavefront shaping. However, lack of post-fabrication tunability has limited the true potential of metasurfaces for…

In this work we investigate the possibility of using the reflection algebra as a source of functional equations. More precisely, we obtain functional relations determining the partition function of the six-vertex model with domain-wall…

Mathematical Physics · Physics 2017-05-17 W. Galleas , J. Lamers

The most general linear and local set of boundary conditions, involving relations between the normal components of the D and B vectors and tangential components of the E and H vectors at each point of the boundary, are considered in this…

Classical Physics · Physics 2017-02-17 I. V. Lindell , A. Sihvola

Membrane-metasurfaces, formed by periodic arrangements of holes in a dielectric layer, are gaining attention for their easier manufacturing via subtractive techniques, unnecessity of substrates, and access to resonant near-fields. Despite…

Mult-layered meta-optics have enabled complex wavefront shaping beyond their single layer counterpart owing to the additional design variables afforded by each plane. For instance, complex amplitude modulation, generalized polarization…

Optics · Physics 2024-09-26 Ahmed H. Dorrah , Joon-Suh Park , Alfonso Palmieri , Federico Capasso

We investigate the possibility to model a metasurface, defined as a zero-thickness sheet of surface polarization currents, by a thin slab, characterized by a subwavelength thickness and usual voluminal medium parameters. First, we elaborate…

Applied Physics · Physics 2020-05-05 Mojtaba Dehmollaian , Yousef Vahabzadeh , Karim Achouri , Christophe Caloz

Metasurfaces are paving the way to improve traditional optical components by integrating multiple functionalities into one optically flat metasurface design. We demonstrate the implementation of a multifunctional gap surface plasmon-based…

Mesoscale and Nanoscale Physics · Physics 2024-12-11 Sergejs Boroviks , Rucha A. Deshpande , N. Asger Mortensen , Sergey I. Bozhevolnyi

Digital metasurfaces have attracted significant attention in recent years due to their ability to manipulate electromagnetic (EM) waves for secure sensing and communication. However, most reported metasurfaces operate at relatively high…

Signal Processing · Electrical Eng. & Systems 2025-10-29 Longpan Wang , Zhuoran Zhang , Zhenyuan Li , Xuetao Gan , Xudong Bai , Wen Chen , Qingqing Wu

All-dielectric metasurfaces consisting of arrays of nanostructured high-refractive-index materials, typically Si, are re-writing what is achievable in terms of the manipulation of light. Such devices support very strong magnetic, as well as…

In this paper, a wideband and low-scattering metasurface in terahertz (THz) is introduced. The proposed coding metasurface is composed of four different graphene square patches in one layer, which has a distinct bias voltage. By optimizing…

Applied Physics · Physics 2020-01-28 Kasra Rouhi , Ali Abdolali , Susan Fallah

Dielectric metasurfaces provide a unique platform for efficient harmonic generation and optical wavefront manipulation at the nanoscale. Tailoring phase and amplitude of a nonlinearly generated wave with a high emission efficiency using…

Optics · Physics 2022-10-03 David Hähnel , Jens Förstner , Viktor Myroshnychenko

We present an initial study of the angular spectrum of a bianisotropic refractive metasurface at an interface between two dielectric media. In this study, we report on the existence of three distinct angular regions: a)~a rotated…

Optics · Physics 2018-01-26 Guillaume Lavigne , Karim Achouri , Christophe Caloz

There is today a growing need to accurately model the angular scattering response of metasurfaces for optical analog processing applications. However, the current metasurface modeling techniques are not well suited for such a task since…

Optics · Physics 2023-01-04 Karim Achouri , Olivier J. F. Martin

Subwavelength structured surfaces, known as metasurfaces, hold promise for future compact and optically thin devices with versatile functionalities. Here, by revisiting the concept of detour phase at the basis of the first computer…