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Photonic crystals have great potential for use as laser-driven accelerator structures. A photonic crystal is a dielectric structure arranged in a periodic geometry. Like a crystalline solid with its electronic band structure, the modes of a…

Accelerator Physics · Physics 2009-11-10 Benjamin Cowan , Mehdi Javanmard , Robert H. Siemann

A method is proposed to create materials with a desired refraction coefficient, possibly negative one. The method consists of embedding into a given material small particles. Given $n_0(x)$, the refraction coefficient of the original…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

A method is given for creating material with a desired refraction coefficient. The method consists of embedding into a material with known refraction coefficient many small particles of size $a$. The number of particles per unit volume…

Mathematical Physics · Physics 2015-05-14 A. G. Ramm

Non-linear photonic crystals can be used to provide phase-matching for frequency conversion in optically isotropic materials. The phase-matching mechanism proposed here is a combination of form birefringence and phase velocity dispersion in…

Quantum Physics · Physics 2009-11-10 Michiel J. A. de Dood , William T. M. Irvine , Dirk Bouwmeester

We analyze transmission of a layered photonic structure (a one-dimensional photonic crystal) consisting of alternating slabs of two materials with positive and negative refractive index. For the periodic structure with zero averaged…

Optics · Physics 2007-05-23 Ilya V. Shadrivov , Andrey A. Sukhorukov , Yuri S. Kivshar

We derive the expression for spontaneous emission rate in finite one-dimensional photonic crystal with arbitrary defects using the effective resonator model to describe electromagnetic field distributions in the structure. We obtain…

Optics · Physics 2010-08-02 A. Rudziński , P. Szczepański

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

In this paper, we present a simple, yet versatile, analytical model of one-dimensional photonic crystal (1D PC). In our theoretical model, we take into account direction of propagation and therefore do not neglect anisotropic nature of…

Optics · Physics 2010-03-19 Adam Rudziński , Anna Tyszka-Zawadzka , Paweł Szczepański

The scattering matrix, which quantifies the optical reflection and transmission of a photonic structure, is pivotal for understanding the performance of the structure. In many photonic design tasks, it is also desired to know how the…

Optics · Physics 2020-12-30 Ziwei Zhu , Changxi Zheng

The iso-frequency contours of a photonic crystal are important for predicting and understanding exotic optical phenomena that are not apparent from high-symmetry band structure visualizations. Here, we demonstrate a method to directly…

A theory of light propagation through one-dimensional photonic crystals and deterministic aperiodic structures, including quasicrystals, based on doped quantum-well structures has been developed. The resonant Bragg condition, leading to the…

Mesoscale and Nanoscale Physics · Physics 2010-09-06 M. M. Voronov , N. S. Averkiev , M. M. Glazov

We consider interaction of a femtosecond light pulse with a one-dimensional photonic crystal with relaxing cubic nonlinearity in the regime of self-trapping. By use of numerical simulations, it is shown that, under certain conditions, the…

Optics · Physics 2011-12-01 Denis Novitsky

A general approach to the analysis of optical properties of photonic crystals based on multiple-quantum-well structures is developed. The effect of the polarization state and a non-perpendicular incidence of the electromagnetic wave is…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 M. V. Erementchouk , L. I. Deych , A. A. Lisyansky

Non-iridescent structural colors based on disordered arrangement of monodisperse spherical particles, also called photonic glass, show low color saturation due to gradual transition in reflectivity. No significant improvement is usually…

We propose a way of generating optical lattices embedded in photonic crystals. By setting up extended modes in photonic crystals, ultracold atoms can be mounted in different types of field intensity distributions. This novel way of…

Quantum Gases · Physics 2009-11-30 Angela M. Barragan , Ian Mondragon-Shem , Herbert Vinck-Posada

The reflecting features (reflected spectrum and phase) on the surface of pure-material plate depend on refractive index, extinction coefficient, incident angle, polarization direction and so on. The features, however, do not depend on a cut…

Optics · Physics 2019-03-18 Chikara Sakurai

It is shown that total reflection for all incident angles does not require a two- or three-dimensional photonic crystal. We demonstrate that a one-dimensional photonic crystal can exhibit total omni-directional reflection for any incident…

Soft Condensed Matter · Physics 2007-05-23 Dmitry N. Chigrin , Andrei V. Lavrinenko

The topology, the symmetry involving the shape of dielectric cylinders, and the lattice structure are among the most important ingredients in the architecture of photonic crystals. In this paper, we present a systematic derivation of the…

Condensed Matter · Physics 2007-05-23 Pi-Gang Luan , Zhen Ye

We study effects of finite height and surrounding material on photonic crystal slabs of one- and two-dimensional photonic crystals with a pseudo-spectral method and finite difference time domain simulation methods. The band gap is shown to…

Optics · Physics 2009-11-10 A. Huttunen , K. Varis , K. Kataja , J. Aikio , P. Torma

Photonic crystals are extremely sensitive to structural disorder even to the point of completely losing their functionalities. While on one side this can be detrimental for applications in traditional optical devices, on the other side, it…

Optics · Physics 2015-05-20 P. D. Garcia , R. Sapienza , C. Toninelli , C. Lopez , D. S. Wiersma