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Photonic flat bands are crucial for enabling strong localization of light and enhancing light-matter interactions, as well as tailoring the angular distribution of emission from photonic structures. These unique properties open pathways for…

We have studied spectral properties of a cholesteric liquid crystal with a combined defect consisting of a nanocomposite layer and a twist. The nanocomposite layer is made of metallic nanoballs dispersed in a transparent matrix and…

Optics · Physics 2014-09-29 Stepan Ya. Vetrov , Maxim V. Pyatnov , Ivan V. Timofeev

We study the bandgap structure of two-dimensional photonic crystals created by a triangular lattice of rotated hexagonal holes, and explore the effects of the reduced symmetry in the unit-cell geometry on the value of the absolute bandgap…

Classical Physics · Physics 2007-05-23 Aaron F. Matthews , Sergei F. Mingaleev , Yuri S. Kivshar

The bulk-boundary correspondence, which relates topological properties of a material in the bulk to the presence of robust modes localized on the edge, is at the core of the now mature field of topological wave physics. More recently, it…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Renaud Cote , Marc Pachebat , Antonin Coutant

We study the properties of two-color nonlinear localized modes which may exist at the interfaces separating two different periodic photonic lattices in quadratic media, focussing on the impact of phase mismatch of the photonic lattices on…

Pattern Formation and Solitons · Physics 2015-05-13 Zhiyong Xu , Mario I. Molina , Yuri S. Kivshar

Light localization due to random imperfections in periodic media is paramount in photonics research. The group index is known to be a key parameter for localization near photonic band edges, since small group velocities reinforce light…

The interplay between order and disorder in photonic lattices opens up a wide range of novel optical scattering mechanisms, resonances, and applications that can be obscured by typical ordered design approaches to photonics. Striking…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 J. P. Vasco , S. Hughes

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

Applied Physics · Physics 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

In the present work, we consider the dynamics of dark solitons as one mode of a defocusing photorefractive lattice coupled with bright solitons as a second mode of the lattice. Our investigation is motivated by an experiment which…

Pattern Formation and Solitons · Physics 2015-05-20 Rong Dong , Christian E. Rüter , Detlef Kip , Jesús Cuevas , Panayotis G. Kevrekidis , Daohong Song , Jingjun Xu

We develop a formalism to study the role of local defects in tight binding systems in the presence of a strong external ac electric field. It is found that the appearance and disappearance of localized states, as well as their localization…

Condensed Matter · Physics 2009-10-22 D. Hone , M. Holthaus

This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are…

Spectral Theory · Mathematics 2019-01-17 B. M. Brown , V. Hoang , M. Plum , M. Radosz , I. Wood

Plasmonic crystals are well known to have band structure including a bandgap, enabling the control of surface plasmon propagation and confinement. The band dispersion relation of bulk crystals has been generally measured by…

In this paper the characteristic matrix method is used to study the propagation of electromagnetic waves through one-dimensional lossy photonic crystals composed of negative and positive refractive index material layers with symmetric and…

Defect modes in two-dimensional periodic photonic structures have found use in a highly diverse set of optical devices. For example, photonic crystal cavities confine optical modes to subwavelength volumes and can be used for Purcell…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Jiho Noh , Wladimir A. Benalcazar , Sheng Huang , Matthew J. Collins , Kevin Chen , Taylor L. Hughes , Mikael C. Rechtsman

We report two new classes of face-centered photonic square lattices with flat bands which we call the Lieb-I and the Lieb-II lattices. There are 5 and 7 sites in the corresponding unit cells of the simplest Lieb-I and Lieb-II lattices,…

In this paper, for the first time, analytical expressions for determination of the wavelength of defect modes (DMs) in one-dimensional (1D) photonic crystals (PCs) with two defect layers (DLs) were obtained from the condition of zero…

Optics · Physics 2024-08-09 A. O. Kamenev , N. A. Vanyushkin , I. M. Efimov , A. H. Gevorgyan

Defect modes are investigated in a band gap of an electrically tunable one-dimensional photonic crystal infiltrated with a twisted-nematic liquid crystal (1D PC/TN). Their frequency shift and interference under applied voltage are studied…

Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact…

Recently, optical lattices with non-zero Berry's phases of Bloch bands have been realized. New approaches for measuring Berry's phases and topological properties of bands with experimental tools appropriate for ultracold atoms need to be…

Quantum Gases · Physics 2013-04-19 Dmitry A. Abanin , Takuya Kitagawa , Immanuel Bloch , Eugene Demler

Photonic lattices have emerged as a promising approach to localize light in space, for example, through topologically protected edge states and Aharonov-Bohm caging. They are of particular importance in the study of flat band systems via…

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