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Related papers: Proca Fields in Step-index Optical Fibres

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Vector boson stars, or $\textit{Proca stars}$, have been recently obtained as fully non-linear numerical solutions of the Einstein-(complex)-Proca system. These are self-gravitating, everywhere non-singular, horizonless Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Nicolas Sanchis-Gual , Carlos Herdeiro , Eugen Radu , Juan Carlos Degollado , José A. Font

The success of photonic crystal fibres relies largely on the endless variety of two-dimensional photonic crystals in the cross-section. Here, we propose a topological bandgap fibre whose bandgaps along in-plane directions are opened by…

Optics · Physics 2020-12-24 Hao Lin , Ling Lu

We propose an efficient method to determine the effective refractive index of step-index optical fibers from the visible to the mid-IR and thus allowing to infer their dispersive properties over a broad spectral range. The validity of the…

Optics · Physics 2021-09-29 Tommy Boilard , Réal Vallée , Martin Bernier

A fully consistent model to study electrodynamics for superconductors in the stationary and non-stationary regime has been developed based on Proca equations and a massive photon. In particular, this approach has been applied to study the…

Superconductivity · Physics 2009-11-13 M. Tajmar

A numerical technique is described that can efficiently compute solutions in interface problems. These are problems with data, such as the coefficients of differential equations, discontinuous or even singular across one or more interfaces.…

Computational Physics · Physics 2015-05-27 Theodoros P. Horikis

In spite of the massive interest that the generalized Manakov equation has attracted in the past two decades, no physical system which is quantitatively described by this equation has been reported so far. In this paper we show that…

Optics · Physics 2012-07-27 Antonio Mecozzi , Cristian Antonelli , Mark Shtaif

A splitting of modes in a circular graded-index optical fiber is demonstrated by solving the full Maxwell equations using the perturbation analysis. It is shown that the degeneracy of vortex Laguerre-Gauss modes with distinct orbital…

Optics · Physics 2016-04-13 Nikolai I. Petrov

The refractive index of a matter is foundational to quantify the light-matter interaction of the medium. However, the classical description of refractive index is based on macroscopic homogenization and is limited to describing the local…

Optics · Physics 2024-11-18 Jungho Mun , Sathwik Bharadwaj , Zubin Jacob

Today's high-capacity telecommunication systems are unimaginable without the use of optical fibres and accompanying optical components which are briefly presented in this paper with an accent on the receivers of optical signal. An overview…

Optics · Physics 2009-12-14 Natasa Zivic

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

The construction of exactly solvable refractive indices allowing guided TE modes in optical waveguides is investigated within the formalism of Darboux-Crum transformations. We apply the finite-difference algorithm for higher-order…

Optical communications technology has made enormous and steady progress for several decades, providing the key resource in our increasingly information-driven society and economy. Much of this progress has been in finding innovative ways to…

Optics · Physics 2015-06-15 D. J. Richardson , J. M. Fini , L E. Nelson

We study theoretically the spatial evolution of optical beams inside a graded-index fiber exhibiting saturable nonlinearity. Utilizing an approach based on the variational principle, we identify the existence of bistable spatial solitons…

Optics · Physics 2026-02-10 Tiyas Das , Anuj P. Lara , Samudra Roy , Govind P. Agrawal

Based on the scalar Helmholtz equation and the finite-difference approximation, we formulate a matrix eigenvalue problem for the calculation of propagation constants, beta(omega), in micro-structured optical fibres. The method is applied to…

Optics · Physics 2007-05-23 Jesper Riishede , Niels Asger Mortensen , Jesper Laegsgaard

We used Geometric Algebra to compute the paths of skew rays in a cylindrical, step-index multimode optical fiber. To do this, we used the vector addition form for the law of propagation, the exponential of an imaginary vector form for the…

Optics · Physics 2015-04-17 Angeleene Ang , Quirino M. Sugon , Daniel J. McNamara

An index-guiding photonic crystal fiber (PCF) with an array of air holes surrounding the silica core region has special characteristics compared to conventional single-mode fibers (SMFs). Using the effective index method and the Gaussian…

Materials Science · Physics 2007-05-23 G. S. Kliros , J. Konstantinidis , C. Thraskias

The formation and dynamics of free-surface structures, such as steps or terraces and their interplay with the phase separation in the bulk are key features of diblock copolymer films. We present a phase-field model with an obstacle…

Computational Physics · Physics 2017-12-06 Quentin Parsons , David Kay , Andreas Münch

An extended interference pattern close to surface may result in both a transmissive or evanescent surface fields for large area manipulation of trapped particles. The affinity of differing particle sizes to a moving standing wave light…

We consider the eigenvalue problem to find the modes of an electromagnetic coaxial step index fiber. More specific, we consider a closed (meaning PEC boundary conditions) cylindrical waveguide with circular cross section $\Gamma$, wave…

Analysis of PDEs · Mathematics 2026-03-18 Martin Halla

The Fermat principle is used to define trajectories in nonhomogenous optical media. The Poincare model of the Lobachevskii geometry is derived. The index of refraction is determined for the light confined in the circular trajectory in the…

General Physics · Physics 2011-01-21 Miroslav Pardy