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Negative-index metamaterials possess a negative refractive index and thus present an interesting substance for designing uncommon optical effects such as invisibility cloaking. This paper deals with operators encountered in an…

Mathematical Physics · Physics 2024-12-16 Tomáš Faikl

Accuracy in complex dielectric permittivity calculations in binary dielectric mixtures in two-dimensions are reported by taking into account the shape of the inclusion phase. The dielectric permittivity of the mixtures were calculated using…

Materials Science · Physics 2009-09-25 Enis Tuncer

The convex shape contained in a disk having prescribed area and maximal perimeter is completely characterized in terms of the area fraction. The solution is always a polygon having all but one sides equal. The lengths of the sides are…

Metric Geometry · Mathematics 2024-02-09 Beniamin Bogosel

We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for $G^1$ smoothness are given, which, up to a certain degenerate case, are also…

Computational Geometry · Computer Science 2022-11-18 Benjamin Marussig , Ulrich Reif

The surface modes of a composite consisting of aligned metallic wires with square cross sections are investigated, on the basis of photonic band structure calculations. The effective long-wavelength dielectric response function is computed,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , F. J. Garcia-Vidal , J. B. Pendry

In this paper the design for an absorbing metamaterial with near unity absorbance in terahertz region is presented. The absorber's unit cell structure consists of two metamaterial resonators that couple to electric and magnetic fields…

Optics · Physics 2015-08-06 Alireza Bagheri , Gholamreza Moradi

Laser speckle, the granular intensity pattern arising from random optical interference, provides a high-dimensional encoding of spectral information that can be exploited for precision metrology. Speckle-based spectrometers have advanced…

The authors study theoretically reflection on the surface of a metamaterial with a hyperbolic dispersion. It is found that reflection is strongly dependent on how the surface is terminated with respect to the asymptote of the hyperbolic…

Optics · Physics 2008-11-10 Xin Li , Zixian Liang , Xiaohan Liu , Xunya Jiang , Jian Zi

We analyze the properties of a nonlinear metamaterial formed by integrating nonlinear components or materials into the capacitive regions of metamaterial elements. A straightforward homogenization procedure leads to general expressions for…

Optics · Physics 2015-05-18 Ekaterina Poutrina , Da Huang , David R. Smith

Within the paradigm of metamaterials and metasurfaces, electromagnetic properties of composite materials can be engineered by shaping or modulating their constituents, so-called meta-atoms. Synthesis and analysis of complex-shape meta-atoms…

Optics · Physics 2019-09-04 Viktar Asadchy , Sergei Tretyakov

Relating the electromagnetic scattering and absorption properties of an individual particle to the reflection and transmission coefficients of a two-dimensional material composed of these particles is a crucial concept that has driven both…

Optics · Physics 2019-10-02 Romain Dezert , Philippe Richetti , Alexandre Baron

An optical absorption spectrum constitutes one of the most fundamental material characteristics, with relevant applications ranging from material identification to energy harvesting and optoelectronics. However, the database of both…

Materials Science · Physics 2022-09-20 Ruo Xi Yang , Matthew K. Horton , Jason Munro , Kristin A. Persson

We consider equally-weighted Cantor measures $\mu_{q,b}$ arising from iterated function systems of the form ${b^{-1}(x+i)}$, $i=0,1,...,q-1$, where $q<b$. We classify the $(q,b)$ so that they have infinitely many mutually orthogonal…

Functional Analysis · Mathematics 2013-09-26 Xin-Rong Dai , Xing-Gang He , Chun-Kit Lai

Matching a target spectrum with known spectra in a spectral library is a common method for material identification in hyperspectral imaging research. Hyperspectral spectra exhibit precise absorption features across different wavelength…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Sampriti Soor , Priyanka Kumari , B. S. Daya Sagar , Amba Shetty

In the Super-Transition-Array statistical method for the computation of radiative opacity of hot dense matter, the moments of the absorption or emission features involve partition functions with reduced degeneracies, occurring through the…

Atomic Physics · Physics 2024-05-14 Jean-Christophe Pain , Brian Wilson

In this work, the properties of the radiation emitted by a corner reflector with an electric dipole feeder are analyzed in the optical domain where the distance between the dipole and the corner apex can be large in terms of the optical…

Optics · Physics 2024-01-01 Pedro Chamorro-Posada

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

Materials Science · Physics 2015-12-21 Mihai Caleap , Bruce W Drinkwater

We study notions of hyperuniformity for invariant locally square-integrable point processes in regular trees. We show that such point processes are never geometrically hyperuniform, and if the diffraction measure has support in the…

Probability · Mathematics 2024-09-18 Mattias Byléhn

This work concerns a detailed review of data analysis methods used for remotely sensed images of large areas of the Earth and of other solid astronomical objects. In detail, it focuses on the problem of inferring the materials that cover…

Instrumentation and Methods for Astrophysics · Physics 2025-07-22 Alfredo Gimenez Zapiola , Andrea Boselli , Alessandra Menafoglio , Simone Vantini

The paper considers an opportunity for the creation of an artificial two-component metamaterial with a negative refractive index within the radio and optical frequency band, which possesses a spatial dispersion. It is shown that there…

Optics · Physics 2008-04-28 V. V. Slabko