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We present a flexible method that can calculate Bloch modes, complex band structures, and impedances of two-dimensional photonic crystals from scattering data produced by widely available numerical tools. The method generalizes previous…

We propose a new method based on variational principle for analysis of photonic crystal (PC) slabs. Most of the methods used today treat PC slab as a three-dimensional (3D) crystal and this makes them very time and/or memory consuming. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 Mohammad Hasan Aram , Sina Khorasani

We perform phase-sensitive near-field scanning optical microscopy on photonic-crystal waveguides. The observed intricate field patterns are analyzed by spatial Fourier transformations, revealing several guided TE- and TM-like modes. Using…

We present a systematic numerical approach to compute the eigenmodes and the related eigenfrequencies of a disordered photonic crystal, characterized by small fluctuations of the otherwise periodic dielectric profile. The field eigenmodes…

Optics · Physics 2011-02-21 Vincenzo Savona

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…

Optics · Physics 2017-12-29 Bing Yang , Tong Wu , Xiangdong Zhang

A dielectric multilayer platform has been investigated as a foundation for two-dimensional optics. In this paper, we present, to the best of our knowledge, the first experimental demonstration of absorption of Bloch surface waves in the…

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…

Classical Physics · Physics 2018-12-19 G. J. Chaplain , M. P. Makwana , R. V. Craster

We demonstrate that the spatial profiles of both propagating and evanescent Bloch-modes in a periodic structure can be extracted from a single measurement of electric field at the specified optical wavelength. We develop a systematic…

Topological photonic crystals (PCs) can support robust edge modes to transport electromagnetic energy in an efficient manner. Such edge modes are the eigenmodes of the PDE operator for a joint optical structure formed by connecting together…

Optimization and Control · Mathematics 2024-07-30 Chiu-Yen Kao , Junshan Lin , Braxton Osting

In this paper, we propose an unfitted Nitsche's method for computing wave modes in topological materials. The proposed method is based on Nitsche's technique to study the performance-enhanced topological materials which have strongly…

Numerical Analysis · Mathematics 2020-06-19 Hailong Guo , Xu Yang , Yi Zhu

The emerging possibilities to steer and control electronic motion on subcycle time scales with strong electric fields enable studying the nonperturbative optical response and Bloch bands' topological properties, originated from Berry's…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Hamed Koochaki Kelardeh

Systems with engineered flatband spectra are a postulate of high-capacity transmission links and a candidate for high-temperature superconductivity. However, their operation relies on the edge or surface modes susceptible to fluctuations…

Flat bands are of significant interest due to their potential for energy confinement and their ability to enable strongly correlated physics. Incorporating topology into flatband systems further enhances flatband mode robustness against…

Optics · Physics 2025-04-01 Yongsheng Liang , Jingyan Zhan , Shiqi Xia , Daohong Song , Zhigang Chen

Bloch's theorem is the centerpiece of topological band theory, which itself has defined an era of quantum materials research. However, Bloch's theorem is broken by a perpendicular magnetic field, making it difficult to study topological…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Jonah Herzog-Arbeitman , Aaron Chew , B. Andrei Bernevig

We consider blind ptychography, an imaging technique which aims to reconstruct an object of interest from a set of its diffraction patterns, each obtained by a local illumination. As the distribution of the light within the illuminated…

Numerical Analysis · Mathematics 2023-06-16 Oleh Melnyk

We introduce a novel reflection-mode diffraction tomography technique that enables simultaneous recovery of forward and backward scattering information for high-resolution 3D refractive index reconstruction. Our technique works by imaging a…

Optics · Physics 2025-02-12 Tongyu Li , Jiabei Zhu , Yi Shen , Lei Tian

Topological optical states exhibit unique immunity to defects and the ability to propagate without losses rendering them ideal for photonic applications.A powerful class of such states is based on time-reversal symmetry breaking of the…

Optics · Physics 2018-02-07 Deng Pan , Rui Yu , Hongxing Xu , F. Javier García de Abajo

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

This work discusses the application of an affine reconstructed nodal DG method for unstructured grids of triangles. Solving the diffusion terms in the DG method is non-trivial due to the solution representations being piecewise continuous.…

Computational Physics · Physics 2021-04-20 Yang Song , Bhuvana Srinivasan

Serving as a new two-dimensional plasmonic material, graphene has stimulated an intensive study of its optical properties which benefit from the unique electronic band structure of the underlying honeycomb lattice of carbon atoms. In…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Weihua Wang , Thomas Christensen , Antti-Pekka Jauho , Kristian S. Thygesen , Martijn Wubs , N. Asger Mortensen
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