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Related papers: Gap Localization of TE-Modes by arbitrarily weak d…

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In this paper we solve the Cattaneo-Vernotte Equation for a periodic heterostructure made of alternate layers of different materials. The solutions describe thermal waves traveling in a periodic system, and it allows us to introduce the…

Mesoscale and Nanoscale Physics · Physics 2020-10-13 A. Camacho de la Rosa , D. Becerril , G. Gómez-Farfán , R. Esquivel-Sirvent

Motivated by the study and simulation of long, coiled optical fibers we consider in this article a simplified model that is prevalent in the engineering community. Mathematically, the problem is specified as follows: Time-harmonic wave…

Analysis of PDEs · Mathematics 2026-03-17 Leszek Demkowicz , Martin Halla , Jens Markus Melenk

Non-topological defects such as grain boundaries abound in pattern forming systems, arising from local variations of pattern properties such as amplitude, wavelength, orientation, etc. We introduce the idea of treating such non-topological…

Pattern Formation and Solitons · Physics 2021-12-14 Priya Subramanian , Andrew J. Archer , Edgar Knobloch , Alastair M. Rucklidge

We demonstrate, theoretically and experimentally, that a traveling electric charge passing from one photonic crystal into another generates edge waves -- electromagnetic modes with frequencies inside the common photonic bandgap localized at…

We introduce a new type of a bound state in the continuum (BIC) which appears in the photonic structure consisting of two coupled waveguides where one of them supports a discrete eigenmode spectrum embedded in the continuum of the other…

Optics · Physics 2024-12-13 Jiri Petracek , Vladimir Kuzmiak , Jiri Ctyroky , Ivan Richter

It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding complex optical potential are real. A class of such…

Pattern Formation and Solitons · Physics 2015-06-22 Eduard N. Tsoy , Izzat M. Allayarov , Fatkhulla Kh. Abdullaev

Photonic crystals and metamaterials have emerged as two classes of tailorable materials that enable precise control of light. Plasmonic crystals, which can be thought of as photonic crystals fabricated from plasmonic materials, Bragg…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Gregory C. Dyer , Gregory R. Aizin , S. James Allen , Albert D. Grine , Don Bethke , John L. Reno , Eric A. Shaner

We report on systematic experimental mapping of the transmission properties of two-dimensional silicon-on-insulator photonic crystal waveguides for a broad range of hole radii, slab thicknesses and waveguide lengths for both TE and TM…

Optics · Physics 2009-11-11 Eric Dulkeith , Sharee J. McNab , Yurii A. Vlasov

The dispersion of a CROW made of photonic crystal mode-gap cavities is pronouncedly asymmetric. This asymmetry cannot be explained by the standard tight binding model. We show that the fundamental cause of the asymmetric dispersion is the…

Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic background medium. Our contributions are threefold. First, we…

Analysis of PDEs · Mathematics 2025-03-28 Yuanchun Ren , Bochao Chen , Yixian Gao , Peijun Li

We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D gyroelectric photonic crystals possessing Dirac point-derived bandgaps, can appear in more general…

Optics · Physics 2008-01-10 Zheng Wang , Y. D. Chong , John D. Joannopoulos , Marin Soljacic

Filled arrays of bolometers are currently being employed for use in astronomy from the far-infrared through millimeter parts of the electromagnetic spectrum. Because of the large range of wavelengths for which such detectors are applicable,…

The presence of topological defects in a material can modify its electrical, acoustic or thermal properties. However, when a group of defects is present, the calculations can become quite cumbersome due to the differential equations that…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Sébastien Fumeron , Bertrand Berche , Fernando Moraes , Fernando Santos , Erms Rodrigues

Optical parametric process occurring in a photonic band-gap planar waveguide is studied from the point of view of nonclassical-light generation. Nonlinearly interacting optical fields are described by the generalized superposition of…

Quantum Physics · Physics 2009-11-10 Jan Perina , Concita Sibilia , Daniela Tricca , Mario Bertolotti

The fundamental guided electromagnetic dispersion characteristics in lossless dispersive metamaterial clad circular air hole waveguides are investigated. Two operating guided modes are found to exist: circular waveguide and surface plasmon…

Optics · Physics 2009-02-24 Ki Young Kim

We present the first experimental evidence for the existence of strongly localized photonic modes due to random two dimensional fluctuations in the dielectric constant. In one direction, the modes are trapped by ordered Bragg reflecting…

Mesoscale and Nanoscale Physics · Physics 2010-04-20 Y. Kodriano , D. Gershoni , E. Linder , B. Shapiro , M. E. Raikh , J. P. Reithmaier , S. Reitzenstein , A. Löffler , A. Forchel

We investigate the diffraction of guided modes of a dielectric slab waveguide on a simple integrated structure consisting of a single dielectric ridge on the surface of the waveguide. Numerical simulations based on aperiodic rigorous…

Optics · Physics 2018-11-05 Evgeni A. Bezus , Dmitry A. Bykov , Leonid L. Doskolovich

A honeycomb array of helical waveguides with zigzag-zigzag edges and a refractive index gradient orthogonal to the edges may support Floquet bound states in continuum (BICs). The gradient of the refractive index leads to strong asymmetry of…

Optics · Physics 2022-09-30 Chunyan Li , Yaroslav V. Kartashov , Vladimir V. Konotop

The band gap, a key concept in solid-state physics, is traditionally explained by the Bragg diffraction of electron waves in the periodic potential of a crystal. Although widely accepted, this framework raises fundamental issues in…

Materials Science · Physics 2025-08-28 Koichi Kajiyama

We have measured the photonic bandstructure of GaAs photonic-crystal waveguides with high energy and momentum resolution using near-field scanning optical microscopy. Intriguingly, we observe additional bands that are not predicted by…