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The equations for Four-Wave-Mixing in a Photonic Crystal waveguide are derived accurately. The dispersive nature of slow-light enhancement, the impact of Bloch mode reshaping in the nonlinear overlap integrals and the tensor nature of the…

Optics · Physics 2015-05-19 M. Santagiustina , C. G. Someda , G. Vadalà , S. Combrié , A. De Rossi

Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using Floquet-Bloch decomposition. This spectrum is located on…

We present waveguides with photonic crystal cores, supporting energy propagation in subwavelength regions with a mode structure similar to that in telecom fibers. We design meta-materials for near-, mid-, and far-IR frequencies, and…

Optics · Physics 2007-05-23 Alexander A. Govyadinov , Viktor A. Podolskiy

Optical soliton pulses offer many applications within optical communication systems, but by definition a soliton is only subjected to second-order anomalous group-velocity-dispersion; an understanding of higher-order dispersion is necessary…

Optics · Physics 2015-06-12 Matthew Marko , Andrzej Veitia , Xiujian Li , Jiangjun Zheng , Cheewei Wong

We propose an efficient finite-element analysis of the vector wave equation in a class of relatively general curved polygons. The proposed method is suitable for an accurate and efficient calculation of the propagation constants of…

Computational Physics · Physics 2016-03-15 Ehsan Khodapanah

We review both theoretical and experimental advances in the recently emerged physics of modulated photonic lattices. Artificial periodic dielectric media, such as photonic crystals and photonic lattices, provide a powerful tool for the…

Photonic crystal waveguides are known to support C-points - point-like polarisation singularities with local chirality. Such points can couple with dipole-like emitters to produce highly directional emission, from which spin-photon…

Optics · Physics 2016-07-27 Ben Lang , Daryl M. Beggs , Ruth Oulton

Calculations of the photonic band structure, transmission coefficients, and quality factors of various two-dimensional, periodic and aperiodic, dielectric photonic crystals by using the finite element method (FEM) are reported. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Imanol Andonegui , Angel J. Garcia-Adeva

We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The methods analyze atomic crystal images as an assemblage of…

Numerical Analysis · Mathematics 2015-09-22 Haizhao Yang , Jianfeng Lu , Lexing Ying

Semi-analytical methods, such as rigorous coupled wave analysis, have been pivotal for numerical analysis of photonic structures. In comparison to other methods, they offer much faster computation, especially for structures with constant…

Numerical Analysis · Mathematics 2022-10-03 Ziwei Zhu , Changxi Zheng

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

We analyze, by the finite-difference time-domain numerical methods, several ways to enhance the directional emission from photonic crystal waveguides through the beaming effect recently predicted by Moreno et al. [Phys. Rev. E 69, 121402(R)…

Optics · Physics 2009-11-10 Steven K. Morrison , Yuri S. Kivshar

The band structure of a novel type of photonic crystal with superconducting constituent elements is calculated numerically via a plane wave expansion. The density of states and the dependence of the width of the photonic gap on the filling…

Superconductivity · Physics 2007-05-23 Oleg L. Berman , Yurii E. Lozovik , Sergey L. Eiderman , Rob D. Coalson

We formulate the dispersion equation for H modes of a circular waveguide with a perfectly conducting strip of zero thickness placed symmetrically in its diametral plane. The wave number of the lowest mode is calculated with high accuracy…

Classical Physics · Physics 2025-03-13 I. M. Braver , Kh. L. Garb , P. Sh. Friedberg

In the last two decades, Fresnel diffraction (FD) of a plane wave from phase steps has been systematically studied and applied for precise measurements of light wavelength, and height and refractive index of the step. In this study we…

Optics · Physics 2019-06-13 Masoud Ghoorchi-Beygi , Masoomeh Dashtdar

We propose and analyze novel surface-state-based waveguides in bandgap photonic crystals. We discuss surface mode band structure, field localization and effect of imperfections on the waveguiding properties of the surface modes. We…

Optics · Physics 2009-11-11 A. I. Rahachou , I. V. Zozoulenko

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

We recently proposed two-dimensional coupled photonic crystal microcavity arrays as a route to achieve a slow-group velocity of light (flat band) in all crystal directions. In this paper we present the first experimental demonstration of…

Optics · Physics 2009-11-10 Hatice Altug , Jelena Vuckovic

The problem of slowing down light by orders of magnitude has been extensively discussed in the literature. Such a possibility can be useful in a variety of optical and microwave applications. Many qualitatively different approaches have…

Optics · Physics 2015-06-26 A. Figotin , I. Vitebskiy

A new method for identifying crystalline phases in X-ray diffraction data has been proposed, which is especially useful for the study of multiphase materials (more than eight - ten phases) with a relatively low content (less than 1 - 3…

Materials Science · Physics 2021-08-17 A. D. Skorbun , S. V. Gabielkov , I. V. Zhyganiuk