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We consider the design and modeling of metasurfaces that couple energy from guided waves to propagating wavefronts. This is a first step towards a comprehensive, multiscale modeling platform for metasurface antennas-large arrays of…

We present a new design of dielectric microcavities supporting modes with large quality factors and highly directional light emission. The key idea is to place a point scatterer inside a dielectric circular microdisk. We show that,…

Optics · Physics 2009-11-13 C. P. Dettmann , G. V. Morozov , M. Sieber , H. Waalkens

We establish simple quantitative criterium for the search of new dielectric materials with high values of the refractive index in the visible range. It is demonstrated, that for light frequencies below the band gap the latter is determined…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Roman Polozkov , Anton Shubnik , Ivan Shelykh , Ivan Iorsh

We numerically study single-defect photonic crystal waveguides obtained from a triangular lattice of air holes in a dielectric background. It is found that, for medium-high air filling ratios, the transmission has very small values in…

Classical Physics · Physics 2009-11-07 Mario Agio , Costas M. Soukoulis

For optical waveguides with a layered background which itself is a slab waveguide, a guided mode is a bound state in the continuum (BIC), if it coexists with slab modes propagating outwards in the lateral direction; i.e., there are lateral…

Optics · Physics 2023-11-27 Nan Zhang , Ya Yan Lu

We study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The setting is motivated as a discrete analogue of the classical…

Mathematical Physics · Physics 2026-02-12 Elena Medvedeva , Raphael Assier , Anastasia Kisil

Wavy dielectric grating hosts bound states in the continuum (BICs) at nonzero Bloch wave number. For oblique incident optical field with parameters near to the BICs, the reflectance spectrum exhibits ultra-sharp Fano line shape, and the…

Optics · Physics 2024-05-17 Ma Luo , Feng Wu

The extremely local electric field enhancement and light confinement is demonstrated in dielectric waveguide with corner and gap geometry. The numerical results reveal the local electric field enhancement in the vicinity of the apex of…

Optics · Physics 2014-07-29 Qijing Lu , Fang-Jie Shu , Chang-Ling Zou

We examine localized surface modes in the core of a photonic crystal fiber composed of a finite nonlinear (Kerr) hexagonal waveguide array with a central defect. Using a discrete approach, we find the fundamental surface mode and its…

Pattern Formation and Solitons · Physics 2015-05-27 Francis H. Bennet , Mario I. Molina

Optical fibers typically confine light through total internal reflection or through photonic bandgaps. Here we show that light can be perfectly guided in optical fibers through a different mechanism based on bound states in the continuum…

Optics · Physics 2020-02-18 Xingwei Gao , Bo Zhen , Marin Soljačić , Hongsheng Chen , Chia Wei Hsu

In this chapter, criteria for existence of propagating optical modes which are transversely bound at the interface of two materials are studied. In particular, quite general cases are considered, where the materials involved are assumed to…

Optics · Physics 2017-09-19 Nahid Talebi

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

Hyperbolic Meta-Materials~(HMMs) are anisotropic materials with permittivity tensor that has both positive and negative eigenvalues. Here we report that by using a type II HMM as cladding material, a waveguide which only supports higher…

Optics · Physics 2016-09-12 Y. Tang , Z. Xi , M. Xu , S. Bäumer , A. J. L. Adam , H. P. Urbach

Chiral spectroscopy is a powerful technique that enables to identify the chirality of matter through optical means. So far, experiments to check the chirality of matter or nanostructures have been carried out using free-space propagating…

Optics · Physics 2019-11-26 J. Enrique Vázquez-Lozano , Alejandro Martínez

We develop a formalism, based on the mode expansion method, to describe the guided resonances and bound states in the continuum (BICs) in photonic crystal slabs with one-dimensional periodicity. This approach provides analytic insights to…

The Dirac equation is a paradigmatic model that describes a range of intriguing properties of relativistic spin-1/2 particles, from the existence of antiparticles to Klein tunneling. However, the Dirac-like equations have found application…

A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well known resemblance between the guided and radiation modes of a…

Quantum Physics · Physics 2015-09-01 Sara Cruz y Cruz , Oscar Rosas-Ortiz

Harnessing bound states in the continuum (BICs) for guiding light in leaky environments has unlocked new possibilities in photonic integrated circuits. BIC confinement enables low-loss waveguiding of leaky transverse-magnetic (TM) modes in…

We design compact waveguide couplers via impedance-tunable transformation optics. By tuning impedance coefficients in the original space, two-dimensional metallic and dielectric waveguide couplers are designed with a high efficiency.…

Optics · Physics 2014-08-04 Jun Cao , Lifa Zhang , Weifeng Jiang , Senlin Yan , Xiaohan Sun

We propose a concept of chiral photonic limiters utilising topologically protected localised midgap defect states in a photonic waveguide. The chiral symmetry alleviates the effects of structural imperfections and guaranties a high level of…

Optics · Physics 2017-04-05 U. Kuhl , F. Mortessagne , E. Makri , I. Vitebskiy , T. Kottos