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An analysis is presented of frequency versus wave-vector dispersion in elliptically birefringent one-dimensional layered periodic structures. The presence of local normal mode polarization state variations from one layer to the next is…

Optics · Physics 2007-08-06 Amir A Jalali , Miguel Levy

We analyze the propagation of waves in unbounded photonic crystals, the waves are described by a Helmholtz equation with $x$-dependent coefficients. The scattering problem must be completed with a radiation condition at infinity, which was…

Analysis of PDEs · Mathematics 2017-01-10 Agnes Lamacz , Ben Schweizer

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

The paper presents theoretical study of the influence of shape of the spatial spectrum of small-scale ionospheric irregularities on anomalous attenuation of HF radio waves caused by multiple scattering. Several spectrum models are…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Nikolay A. Zabotin , Gennady A. Zhbankov , Eugene S. Kovalenko

We introduce a new coupled mode theory to model nonlinear Schr\"odinger equations for contra- propagating Bloch modes that include disorder-induced multiple scattering effects on nonlinear soliton propagation in photonic crystal waveguides.…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Nishan Mann , Stephen Hughes

We investigate, experimentally and theoretically, polarization rotation effects in dilute photonic crystals with transverse permittivity inhomogeneity perpendicular to the traveling direction of waves. A capsize, namely a drastic change of…

Applied Physics · Physics 2017-12-04 Zhyrair Gevorkian , Arsen Hakhoumian , Vladimir Gasparian , Emilio Cuevas

We analyze the impact of geometrical parameters on such important optical characteristics of negative curvature hollow-core fibers (NCHCFs) as waveguide dispersion, waveguide losses and the structure of transmission bands. We consider both…

We study the modulation of the observed radiation flux and the associated changes in the polarization degree and angle that are predicted by the orbiting spot model for flares from accreting black holes. The geometric shape of the emission…

High Energy Astrophysical Phenomena · Physics 2022-11-28 Vladimir Karas , Michal Dovciak , Jiri Svoboda , Wenda Zhang , Giorgio Matt , Andreas Eckart , Michal Zajacek

Classically, black Holes have the rigid event horizon. However, quantum mechanically, the event horizon of black holes becomes fuzzy due to quantum fluctuations. We study Hawking radiation of a real scalar field from a fluctuating black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Tomohiro Takahashi , Jiro Soda

We calculate using loop expansion the effect of fluctuations on the structure function and magnetization of the vortex lattice and compare it with existing MC results. In addition to renormalization of the height of the Bragg peaks of the…

Superconductivity · Physics 2009-10-31 Dingping Li , Baruch Rosenstein

For an accretion disk around a black hole, the strong relativistic effects affect every aspect of the radiation from the disk, including its spectrum, light-curve, and image. This work investigates in detail how the images of a thin disk…

Astrophysics · Physics 2016-01-27 Xiaoling Zhang , S. Nan Zhang , Yuxin Feng , Yangsen Yao

Coupled waveguides are convenient at implementing useful optical transformations. In this letter, we investigate the uncertainty of transformation by two coupled waveguides that stems from the perturbations of waveguide's mode indices~---…

Optics · Physics 2018-05-11 M. Yu. Saygin

Optical modes of a multilayered photonic structure with the twisted nematic liquid crystal as a defect layer have been investigated. The electroconvective flow in the nematic makes a spatially periodic structure in the form of abnormal…

Using the resonant-state expansion for leaky optical modes of a planar Bragg microcavity, we investigate the influence of disorder on its fundamental cavity mode. We model the disorder by randomly varying the thickness of the Bragg-pair…

Disordered Systems and Neural Networks · Physics 2021-01-22 S. G. Tikhodeev , E. A. Muljarov , W. Langbein , N. A. Gippius , H. Giessen , T. Weiss

The understanding of how the arrangement of defects in photonic crystals impacts its photonic properties is cru-cial for the design of functional materials based thereon. By preparing photonic crystals with random missing scatterers we…

In this Letter we show that a single rectangular hole exhibits transmission resonances that appear near the cutoff wavelength of the hole waveguide. For light polarized with the electric field pointing along the short axis, it is shown that…

Materials Science · Physics 2009-11-11 F. J. Garcia-Vidal , E. Moreno , J. A. Porto , L. Martin-Moreno

The anharmonic Bloch oscillations of a light beam in the array of optical waveguides are considered. The coupling modes model (CMM) with the second order interaction is used to describe the effect analytically. The formula obtained predicts…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 M. I. Gozman , A. I. Guseynov , Yu. M. Kagan , A. I. Pavlov , I. Ya Polishchuk

The formation of beam halos has customarily been described in terms of a particle-core model in which the space-charge field of the oscillating core drives particles to large amplitudes. This model involves parametric resonance and predicts…

Accelerator Physics · Physics 2009-11-10 Courtlandt L. Bohn , Ioannis V. Sideris

Unintentional but unavoidable fabrication imperfections in state-of-the-art photonic-crystal waveguides lead to the spontaneous formation of Anderson-localized modes thereby limiting slowlight propagation and its potential applications. On…

We study the effects of disorder on the coupling strength of coupled photonic crystal slab cavities by considering fully-3D electromagnetic calculations. Specifically, we investigate two coupled L3 cavities at 30{\deg} and 60{\deg}…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 J. P. Vasco , V. Savona