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We present in this paper a method to recover the refractive index profile of graded waveguide from the effective indices by cubic spline interpolation function. It is proved by numerical analysis of several typical index distributions that…

Optics · Physics 2007-05-23 Weijun Liao , Xianfeng Chen , Yuping Chen , Yuxing Xia , Yingli Chen

Five methods of calculating electrical field distributions in one dimensional wave-guide arrays are reviewed. We analytically solve the scalar Helmholtz Equation and, based on the computed Bloch functions and associated bands of propagation…

Optics · Physics 2014-03-24 Uri Levy , Yaron Silberberg

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two…

Optics · Physics 2013-09-24 Vadim A. Markel , Igor Tsukerman

In this paper, a coherent boundary value problem to model metamaterials' behavior based on the relaxed micromorphic model is established. This boundary value problem includes well-posed boundary conditions, thus disclosing the possibility…

Applied Physics · Physics 2022-08-10 Gianluca Rizzi , Patrizio Neff , Angela Madeo

In this paper, we employ the properties of metamaterials to tailor the modes of metamaterial-dielectric waveguides operating at optical frequencies. We survey the effect of fishnet metamaterial structural parameters such as the magnetic…

We propose herein a method of material-structure integrated design for broadband absorption of dielectric metamaterial, which is achieved by combination of genetic algorithm and simulation platform. A multi-layered metamaterial absorber…

Applied Physics · Physics 2022-01-26 Mengyue Peng , Faxiang Qina , Liping Zhou , Huijie Wei , Zihao Zhu , Xiaopeng Shen

Precise control of the polarization and propagation direction of elastic waves is a fundamental challenge in elastodynamics. Achieving efficient mode conversion along arbitrary paths with conventional techniques has proven difficult. In…

Applied Physics · Physics 2024-10-24 Shiheng Zhao , Zhan Tian , Jiaji Chen , Heng Jiang , Zheng Chang , Guoliang Huang

As the frequency range of electromagnetic wave communication continues to expand and the integration of integrated circuits increases, electromagnetic waves emitted by on-chip antennas are prone to scattering from electronic components,…

Optics · Physics 2025-05-15 Hanchuan Chen , Fei Sun , Yichao Liu , Shuai Zhang , Hongming Fei , Zhihui Chen

We discuss in detail the Bloch waves method for calculation of energy and orientation dependent scattering cross-section for inelastic scattering of electrons on crystals. Convergence properties are investigated and a new algorithm with…

Materials Science · Physics 2012-06-27 Jan Rusz , Shunsuke Muto , Kazuyoshi Tatsumi

This paper aims at quantitatively understanding the elastic wave scattering due to negative metamaterial structures under wide-band signals in the time domain. Specifically, we establish the modal expansion for the time-dependent field…

Analysis of PDEs · Mathematics 2022-04-12 Bochao Chen , Yixian Gao , Hongyu Liu

Anisotropic fluid materials are of growing interest with the development of metamaterials and transformation acoustics. In the general three-dimensional case, such materials are characterized by a bulk modulus and a full symmetric matrix of…

Space-time modulation of material parameters offers new possibilities for manipulating elastic wave propagation by exploiting time-reversal symmetry breaking. Here we propose and validate a general framework based on the multiple scattering…

Applied Physics · Physics 2023-12-08 Xingbo Pu , Alessandro Marzani , Antonio Palermo

Metamaterials derive their unconventional properties from engineered microstructures, with periodic lattices providing a versatile framework for modeling wave propagation. Dispersion relations, obtained from Bloch-Floquet theory, govern how…

Materials Science · Physics 2026-03-24 Lucas Rouhi , Christophe Droz

We demonstrate theoretically that electromagnetically induced transparency can be achieved in metamaterials, in which electromagnetic radiation is interacting resonantly with mesoscopic oscillators rather than with atoms. We describe novel…

Materials Science · Physics 2010-01-30 Ph. Tassin , Lei Zhang , Th. Koschny , E. N. Economou , C. M. Soukoulis

Perfect lensing and cloaking based on complementary media are possible applications of negative refractive index materials. Metamaterials represent the natural candidates to realize such property by tailoring the effective dielectric…

Materials Science · Physics 2010-01-31 Claudio Amabile , Enrico Prati

In this paper, we propose a new approach for realizing antireflection coating using metamaterials. In this approach, a subwavelength array of metallic pillars (with square cross-section) is used for implementing antireflection coating. The…

Optics · Physics 2019-02-05 Fahimeh Sepehripour , Parisa Karimi , Amin Khavasi

We demonstrate that surface plasmons of a thin metal film interacting with a periodic array of nano-structures around it can be utilized to make bulk negative index metamaterials at visible spectrum with simultaneously negative permittivity…

Optics · Physics 2011-11-30 Muhammad I. Aslam , Durdu Ö. Güney

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

Optics · Physics 2024-04-16 Mingjie Li , S. A. R. Horsley

The ability to design passive structures that perform different operations on different electromagnetic fields is key to many technologies, from beam-steering to optical computing. While many techniques have been developed to optimise…

Applied Physics · Physics 2022-11-28 J. R. Capers , S. J. Boyes , A. P. Hibbins , S. A. R. Horsley

The usual procedures to extract effective refractive indices for negative-index metamaterials are complicated by branching ambiguities in the inverse cosine function. The existing methods to eliminate ambiguities either involve calculations…

Mesoscale and Nanoscale Physics · Physics 2010-05-26 A. Eugene DePrince , Stephen K. Gray