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We study the light transmission in two-dimensional photonic crystal waveguides with embedded nonlinear defects. First, we derive the effective discrete equations with long-range interaction for describing the waveguide modes, and…

无序系统与神经网络 · 物理学 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

We demonstrate that high transmission through sharp bends in photonic crystal waveguides can be described by a simple model of the Fano resonance where the waveguide bend plays a role of a specific localized defect. We derive effective…

材料科学 · 物理学 2009-11-11 Andrey E. Miroshnichenko , Yuri S. Kivshar

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…

介观与纳米尺度物理 · 物理学 2015-06-11 Imanol Andonegui , Angel J. Garcia-Adeva

We suggest a novel conceptual approach for describing the properties of waveguides and circuits in photonic crystals, based on the effective discrete equations that include the long-range interaction effects. We demonstrate, on the example…

光学 · 物理学 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

Numerical calculation of modes in dispersive and absorptive systems is performed using the finite element method. The dispersion is tackled in the frame of an extension of Maxwell's equations where auxiliary fields are added to the…

光学 · 物理学 2016-04-20 Yoann Brûlé , Guillaume Demésy , Boris Gralak

In our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method (FEM). We discuss how we utilize numerical concepts like high-order finite elements, transparent…

光学 · 物理学 2015-05-13 Jan Pomplun , Lin Zschiedrich , Roland Klose , Frank Schmidt , Sven Burger

The purpose of this paper is to investigate the scattering by a nonlinear crystal whose depth is about the wavelength of the impinging field. More precisely, an infinite nonlinear slab is illuminated by an incident field which is the sum of…

光学 · 物理学 2010-11-22 Pierre Godard , Frederic Zolla , Andre Nicolet

For nonlinear reduced-order models, especially for those with non-polynomial nonlinearities, the computational complexity still depends on the dimension of the original dynamical system. As a result, the reduced-order model loses its…

数值分析 · 数学 2013-04-30 Zhu Wang

In this work, a novel approach for the detection and localisation of nonlinear guided waves often associated with the presence of damage in structural components is proposed. The method is active and consists of a piezoelectric transducer…

应用物理 · 物理学 2024-06-26 Paweł Kudela , Maciej Radzienski , Marco Miniaci , Piotr Fiborek , Wieslaw Ostachowicz

We analyze the resonant linear and nonlinear transmission through a photonic crystal waveguide side-coupled to a Kerr-nonlinear photonic crystal resonator. Firstly, we extend the standard coupled-mode theory analysis to photonic crystal…

We consider a model for a one-dimensional photonic crystal formed by a succession of Kerr-type equidistant spaceless interfaces immersed in a linear medium. We calculate the band structure and reflectance of this structure as a function of…

We study the transmission properties for the waveguide bends composed by a circular photonic crystal. Two types (Y and U type) of the waveguide bends utilizing the circular photonic crystal are studied. It has been shown, compared with the…

光学 · 物理学 2009-11-11 Sanshui Xiao , Min Qiu

Heralded single-photon sources are a fundamental building block for optical quantum technologies. These sources need to be unfiltered and integrated to have good scalability and avoid unnecessary losses. To attain this goal, it is necessary…

光学 · 物理学 2023-04-10 Salvador Poveda-Hospital , Nicolás Quesada , Yves-Alain Peter

This article presents experimental results on properties of waves propagating in an unbounded and a bounded photonic crystal consisting of metallic cylinders which are arranged in a triangular lattice. First, we present transmission…

其他凝聚态物理 · 物理学 2012-02-09 S. Bittner , B. Dietz , M. Miski-Oglu , A. Richter

The introduction of nonlinearity alters the dispersion of elastic waves in solid media. In this paper, we present an analytical formulation for the treatment of finite-strain Bloch waves in one-dimensional phononic crystals. Considering…

材料科学 · 物理学 2021-09-01 M. I. Hussein , R. Khajehtourian , M. H. Abedinnasab

We use our vector Maxwell's nonlinear eigenmode solver to study the stationary solutions in 2D cross-section waveguides with Kerr nonlinear cores. This solver is based on the fixed power algorithm within the finite element method. First,…

光学 · 物理学 2018-01-12 Mahmoud M. R. Elsawy , Gilles Renversez

We propose a technique of compensating the spurious reflections implied by the multiple-scattering (MS) method, commonly used for analyzing finite photonic crystal (PC) systems, to obtain exact values of characteristic parameters, such as…

光学 · 物理学 2009-11-13 Wojciech Smigaj

Topological photonics aims to utilize topological photonic bands and corresponding edge modes to implement robust light manipulation, which can be readily achieved in the linear regime of light-matter interaction. Importantly, unlike solid…

光学 · 物理学 2020-04-22 Zhihao Lan , Jian Wei You , Nicolae C. Panoiu

Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between…

光学 · 物理学 2018-01-15 Mahmoud M. R. Elsawy , Gilles Renversez

Nonlinear interferometers with correlated photons hold a promise to advance optical characterization and metrology techniques by improving their performance and affordability. Nonlinear interferometers offer the sub-shot noise phase…

量子物理 · 物理学 2020-05-13 Anna V. Paterova , Leonid A. Krivitsky
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