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In this paper, we compute the band structure of one- and two-dimensional phononic composites using the extended finite element method (X-FEM) on structured higher-order (spectral) finite element meshes. On using partition-of-unity…

计算物理 · 物理学 2021-11-09 Eric B. Chin , Amir Ashkan Mokhtari , Ankit Srivastava , N. Sukumar

We investigate the propagation of electromagnetic waves in finite photonic band gap structures. We analyze the phenomenon of conduction and forbidden bands and we show that two regimes are to be distinguished with respect to the existence…

光学 · 物理学 2007-05-23 D. Felbacq , R. Smaali

Based on a perturbative approach, we propose a simple and efficient method to engineer topological edge states in two dimensional magnetic photonic crystals. The topological edge states in the microstructures can be constructed and varied…

光学 · 物理学 2017-12-29 Bing Yang , Tong Wu , Xiangdong Zhang

We suggest an inverse dispersion method for calculating photonic band diagram for materials with arbitrary frequency-dependent dielectric functions. The method is able to calculate the complex wave vector for a given frequency by solving…

光学 · 物理学 2017-07-11 Mikhail V. Rybin , Mikhail F. Limonov

In this report we present an investigation of the optical properties and band structure calculations for the photonic structures based on the functional materials- ferroelectrics. A theoretical approach to the optical properties of the 2D…

光学 · 物理学 2013-05-08 Sevket Simsek , Amirullah M. Mamedov , Ekmel Ozbay

We develop a formalism for the calculation of the frequency band structure of a phononic crystal consisting of non-overlapping elastic spheres, characterized by Lam\'e coefficients which may be complex and frequency dependent, arranged…

材料科学 · 物理学 2009-10-31 I. E. Psarobas , N. Stefanou , A. Modinos

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…

材料科学 · 物理学 2012-06-27 Jan Rusz , Shunsuke Muto , Kazuyoshi Tatsumi

An analysis is presented of frequency versus wave-vector dispersion in elliptically birefringent one-dimensional layered periodic structures. The presence of local normal mode polarization state variations from one layer to the next is…

光学 · 物理学 2007-08-06 Amir A Jalali , Miguel Levy

Calculations of propagating quantum trajectories associated to a wave function provide new insight into quantum processes such as particle scattering and diffraction. Here, hydrodynamic calculations of electron beam imaging under conditions…

量子物理 · 物理学 2019-07-12 Samantha Rudinsky , Raynald Gauvin

Galvanised by the emergent fields of metamaterials and topological wave physics, there is currently much interest in controlling wave propagation along structured arrays, and interfacial waves between geometrically different crystal…

经典物理 · 物理学 2018-12-19 G. J. Chaplain , M. P. Makwana , R. V. Craster

We propose a new method to compute band structures of dispersive photonic crystals. It can treat arbitrarily frequency-dependent, lossy or lossless materials. The band structure problem is first formulated as the eigenvalue problem of an…

数值分析 · 数学 2020-10-06 Wenqiang Xao , Jiguang Sun

Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielectric contrast inclusions. Central to this approach is the…

偏微分方程分析 · 数学 2021-10-26 Robert Lipton , Robert Viator , Silvia Jimenez Bolanos , Abiti Adili

Calculations of the photonic band structure, transmission coefficients, and quality factors of various two-dimensional, periodic and aperiodic, dielectric photonic crystals by using the finite element method (FEM) are reported. The…

介观与纳米尺度物理 · 物理学 2015-06-11 Imanol Andonegui , Angel J. Garcia-Adeva

The introduction of nonlinearity alters the dispersion of elastic waves in solid media. In this paper, we present an analytical formulation for the treatment of finite-strain Bloch waves in one-dimensional phononic crystals. Considering…

材料科学 · 物理学 2021-09-01 M. I. Hussein , R. Khajehtourian , M. H. Abedinnasab

We present the design and fabrication of photonic crystal structures exhibiting electromagnetic bands that are flattened in all crystal directions, i.e., whose frequency variation with wavevector is minimized. Such bands can be used to…

光学 · 物理学 2009-11-10 Hatice Altug , Jelena Vuckovic

Topological photonics provides a robust and flexible platform for controlling light, enabling functionalities such as backscattering-immune edge transport and slow-light propagation. In this work, we design and characterize photonic…

光学 · 物理学 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

Omnidirectional light propagation in two-dimensional (2D) photonic crystals (PCs) has been investigated by extending the formerly developed 2D finite element analysis (FEA) of in-plane light propagation in which the corresponding band…

计算物理 · 物理学 2018-11-28 Ruei-Fu Jao , Ming-Chieh Lin

The refraction properties of phononic crystals are revealed by examining the anti-plane shear waves in doubly periodic elastic composites with unit cells containing rectangular and/or elliptical inclusions. The band-structure, group…

材料科学 · 物理学 2014-12-15 Sia Nemat-Nasser

An electromagnetic (EM) Bloch wave propagating in a photonic crystal (PC) is characterized by the immittance (impedance and admittance) of the wave. The immittance is used to investigate transmission and reflection at a surface or an…

材料科学 · 物理学 2009-11-10 Jun Ushida , Masatoshi Tokushima , Masayuki Shirane , Akiko Gomyo , Hirohito Yamada

A new conception of the wavelength division multiplexing on the basis of the two-dimensional photonic crystal was developed. The photonic crystals band structures were investigated in details. The method for the synthesis of the two-channel…

光学 · 物理学 2010-12-07 I. V. Guriev , I. A. Sukhoivanov , A. V. Shulika , A. V. Kublik