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Topological photonics has emerged as a novel paradigm for the design of electromagnetic systems from microwaves to nanophotonics. Studies to date have largely focused on the demonstration of fundamental concepts, such as non-reciprocity and…

Optics · Physics 2020-09-30 Daniel Leykam , Luqi Yuan

A method is introduced to analyze the degeneracy properties of the band structure of a photonic crystal making use of the super cells. The band structure associated with a super cell of a photonic crystal has degeneracies at the edge of the…

Materials Science · Physics 2007-05-23 Liang Wu , Sailing He

Photonic crystals are characterized by a spatial modulation of the dielectric constant on the length scale of the wavelength of light giving rise to energy ranges where light cannot propagate through the crystal - the photonic band gap.…

New solid-state physics based approach is developed for analysis of the paraxial light propagation in two-dimensional (2D) photonic lattices of coupled dielectric waveguides or microcavities. In particular, using Maxwell's equations, a…

Quantum Physics · Physics 2007-10-30 D. L. Boiko

We propose a new method to compute band structures of dispersive photonic crystals. It can treat arbitrarily frequency-dependent, lossy or lossless materials. The band structure problem is first formulated as the eigenvalue problem of an…

Numerical Analysis · Mathematics 2020-10-06 Wenqiang Xao , Jiguang Sun

Mitigating low-frequency vibration or noise is of vital importance to both human health and mechanical engineering. Two-dimensional phononic crystal (PC) structures were proposed by attaching rubber and metallic cylinders on one or both…

Applied Physics · Physics 2025-06-26 Hao Zhu , Kai Zhao

We study the group velocity of light in layer-by-layer chiral photonic crystals composed of dielectrics and metals. Through studying the band structures with an extended-zone scheme that is given by a Fourier analysis, we show the existence…

Optics · Physics 2016-07-29 Kin Hung Fung , Jeffrey Chi Wai Lee , C. T. Chan

Subwavelength imaging of elastic/acoustic waves using phononic crystals (PCs) is limited to a narrow frequency range via the two existing mechanisms that utilize either the intense Bragg scattering in the first phonon band or negative…

Applied Physics · Physics 2023-03-13 Hrishikesh Danawe , Serife Tol

We use semiclassical Hamiltonian optics to investigate the propagation of light rays through two-dimensional photonic crystals when slow spatial modulation of the lattice parameters induces mixed stable-chaotic ray dynamics. This modulation…

Other Condensed Matter · Physics 2011-04-19 A. J. Henning , T. M. Fromhold , P. B. Wilkinson

The principal use of photonic crystals is to engineer the photonic density of states, which controls light-matter coupling. We theoretically show that strained 2D photonic crystals can generate artificial electromagnetic fields and highly…

Optics · Physics 2021-01-13 J. Guglielmon , M. C. Rechtsman , M. I. Weinstein

This work deals with the inverse design in the field of photonic crystal based devices. Here an inverse method containing a fast and accurate simulation method integrated with a competent optimization method is presented. Two designs…

Other Condensed Matter · Physics 2007-05-23 Andreas Hakansson , Jose Sanchez-Dehesa , Lorenzo Sanchis

We design an efficient coupler to transmit light from a strip waveguide into the flatband slow mode of a photonic crystal waveguide with ring-shaped holes. The coupler is a section of a photonic crystal waveguide with a higher group…

Optics · Physics 2009-11-13 A. Säynätjoki , K. Vynck , M. Mulot , D. Cassagne , J. Ahopelto , H. Lipsanen

We propose a method derived from the simple plane wave expansion that can easily solve the interface problem between vacuum and a semi-infinite photonic crystal. The method is designed to find the complete set of all the eigenfunctions,…

Computational Physics · Physics 2013-05-29 Young-Chung Hsue , Tzong-Jer Yang

In recent years, there have been rapid advances in the parallel fields of electronic and photonic topological crystals. Topological photonic crystals in particular show promise for coherent transport of light and quantum information at…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 María Blanco de Paz , Maia G. Vergniory , Dario Bercioux , Aitzol García-Etxarri , Barry Bradlyn

We identify explicit conditions on geometry and material contrast for creating band gaps in 2-d photonic and 3-d acoustic crystals. This approach is novel and makes use of the electro-static and quasi-periodic source free resonances of the…

Analysis of PDEs · Mathematics 2016-09-07 Robert Lipton , Robert Viator

Photonic crystals provide an extremely powerful toolset for manipulation of optical dispersion and density of states, and have thus been employed for applications from photon generation to quantum sensing with NVs and atoms. The unique…

Quantum Physics · Physics 2016-08-02 Yanbing Liu , Andrew A. Houck

In this paper, we have firstly proposed a new one-dimensional variable frequency photonic crystals (VFPCs), and calculated the transmissivity and the electronic field distribution of VFPCs with and without defect layer, and considered the…

Optics · Physics 2015-08-19 Xiang-Yao Wu , Ji Ma , Xiao-Jing Liu , Jing-Hai Yang , Hong Li , Wan-Jin Chen

Two well-known methods for the design of quasicrystal models are used to create novel nonlinear optical devices. These devices are useful for efficient three-wave mixing of several different processes, and therefore offer greater…

Materials Science · Physics 2009-11-13 Alon Bahabad , Ron Lifshitz , Noa Voloch , Ady Arie

We identify different types of the photonic band gaps (PBGs) of two dimensional magnetic photonic crystals (MPCs) consisting of arrays of magnetic cylinders and study the different tunability (by an external static magnetic field) of these…

Optics · Physics 2009-11-13 Shiyang Liu , Junjie Du , Zhifang Lin , Ruixin Wu , S. T. Chui

We report on the fabrication of what we believe is the first example of a two dimensional nonlinear periodic crystal\cite{berger}, where the refractive index is constant but in which the 2nd order nonlinear susceptibility is spatially…