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The photonic band structure of a three-dimensional lattice of metal spheres is calculated using an embedding technique, in the frequency range of the Mie plasmons. For a small filling factor of the spheres, Maxwell-Garnett theory gives an…

Materials Science · Physics 2009-11-10 J. E. Inglesfield , J. M. Pitarke , R. Kemp

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

An analysis of the optical response of a triangular-shaped photonic band-gap prism is presented. Numerical simulations have been performed in the framework of multiple-scattering theory, which is applied considering spot illumination to…

Materials Science · Physics 2009-11-10 J. Bravo-Abad , T. Ochiai , J. Sanchez-Dehesa

An asymptotic theory is developed to generate equations that model the global behaviour of electromagnetic waves in periodic photonic structures when the wavelength is not necessarily long relative to the periodic cell dimensions;…

Mathematical Physics · Physics 2015-06-09 B. J. Maling , D. J. Colquitt , R. V. Craster

We demonstrate the existence of large phononic band gaps in designed hyperuniform (isotropic) disordered two-dimensional (2D) phononic structures of Pb cylinders in epoxy matrix. The phononic band gaps in hyperuniform disordered phononic…

Disordered Systems and Neural Networks · Physics 2017-04-05 George Gkantzounis , Timothy Amoah , Marian Florescu

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…

Computational Physics · Physics 2018-11-28 Ruei-Fu Jao , Ming-Chieh Lin

The nonlinear properties of quasiperiodic photonic crystals based on the Thue-Morse sequence are investigated. The intrinsic spatial asymmetry of these one-dimensional structures for odd generation numbers results in bistability thresholds…

Optics · Physics 2010-05-27 Victor Grigoriev , Fabio Biancalana

Exciton optical absorption in self-similar aperiodic one-dimensional systems is considered, focusing our attention on Thue-Morse and Fibonacci lattices as canonical examples. The absorption line shape is evaluated by solving the microscopic…

Condensed Matter · Physics 2009-10-22 E. Macia , F. Dominguez-Adame

We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic crystals consisting of a background medium which is perforated…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

Optics · Physics 2021-02-03 B. X. Wang , C. Y. Zhao

Plasmonic distributed-feedback lasers based on a two-dimensional periodic array of metallic nanostructures are the main candidate for nanoscale sources of coherent electromagnetic field. Strong localization of the electromagnetic field and…

We use a phenomenological Hamiltonian approach to derive a set of coupled mode equations that describe light propagation in waveguides that are periodically side-coupled to microcavities. The structure exhibits both Bragg gap and (polariton…

Optics · Physics 2009-11-11 Philip Chak , Suresh Pereira , J. E. Sipe

The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schr\"odinger operators. In a forthcoming work [9] (arXiv:1709.00975) this task was…

Spectral Theory · Mathematics 2018-03-09 Siegfried Beckus , Jean Bellissard , Giuseppe De Nittis

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…

Optics · Physics 2025-05-12 Ondřej Novák , Martin Veis , Gervasi Herranz

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

The topological characteristics of photonic crystals have been the subject of intense research in recent years. Despite this, the basic question of whether photonic band topology is rare or abundant -- i.e., its relative prevalence --…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Ali Ghorashi , Sachin Vaidya , Mikael Rechtsman , Wladimir Benalcazar , Marin Soljačić , Thomas Christensen

We analyze the phonon spectra of periodic structures formed by two-dimensional mixtures of dipolar colloidal particles. These mixtures display an enormous variety of complex ordered configurations [J. Fornleitner {\it et al.}, Soft Matter…

Soft Condensed Matter · Physics 2013-05-29 J. Fornleitner , G. Kahl , C. N. Likos

The engineering of specialty lasers with unconventional mode structures is one of the modern challenges in the development of integrated coherent sources. Examples include the use of bound states in the continuum, microlasers with orbital…

We present an approach for the description of fluorescence from optically active material embedded in layered periodic structures. Based on an exact electromagnetic Green's tensor analysis, we determine the radiative properties of emitters…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Francesco Intravaia , Kurt Busch

A theoretical study of photonic bands for one-dimensional (1D) lattices embedded in planar waveguides with strong refractive index contrast is presented. The approach relies on expanding the electromagnetic field on the basis of guided…

Soft Condensed Matter · Physics 2009-11-10 D. Gerace , L. C. Andreani