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Related papers: Sharp bends in photonic crystal waveguides as nonl…

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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…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

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…

Optics · Physics 2009-11-11 Sanshui Xiao , Min Qiu

We study transmission properties of discrete networks composed of linear arrays coupled to systems of N side defects, and demonstrate the basic principles of the resonant scattering management through engineering Fano resonances. We find…

Other Condensed Matter · Physics 2007-05-23 Andrey E. Miroshnichenko , Yuri S. Kivshar

We investigate nonlinear one- and two-dimensional photonic crystals by applying a finite element-iterative method.Numerical results show the essential influence of nonlinear elements embedded into a quarter-wave stack and the sharp photonic…

Bending loss is one of the serious problems for constructing nanophotonic integrated circuits. Recently, many works reported that valley photonic crystals (VPhCs) enable significantly high transmission via 120-degree sharp bends. However,…

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…

Optics · Physics 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

Sound propagation in a waveguide lined with one section of locally reactive material is studied by resonance scattering approach. The objective is to understand the effects of mode coupling in the lined section on the transmission. It is…

Classical Physics · Physics 2016-04-20 Lei Xiong , Wenping Bi , Yves Aurégan

We study resonant light scattering in arrays of channel optical waveguides where tunable quadratic nonlinearity is introduced as nonlinear defects by periodic poling of single (or several) waveguides in the array. We describe novel features…

Pattern Formation and Solitons · Physics 2009-11-10 A. E. Miroshnichenko , Y. S. Kivshar , R. A. Vicencio , M. I. Molina

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 discrete model that describes a linear chain of particles coupled to a single-site defect with instantaneous Kerr nonlinearity. We show that this model can be regarded as a nonlinear generalization of the familiar…

Soft Condensed Matter · Physics 2009-11-10 Andrey E. Miroshnichenko , Sergei F. Mingaleev , Sergej Flach , Yuri S. Kivshar

Nowadays nanotechnology allows to scale-down various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental…

Materials Science · Physics 2010-08-13 Andrey E. Miroshnichenko , Sergej Flach , Yuri S. Kivshar

We study numerically, analytically and experimentally the resonant transmission of light in a waveguide formed by a periodic array of high-index dielectric nanoparticles with a side-coupled resonator. We demonstrate that a resonator with…

The Fano resonance is a widespread wave scattering phenomenon associated with a peculiar asymmetric and ultra-sharp line shape, which has found applications in a large variety of prominent optical devices. While its substantial sensitivity…

Applied Physics · Physics 2019-01-16 Farzad Zangeneh Nejad , Romain Fleury

We show that the frequency spectrum of two dimensional photonic crystals is strongly influenced by Fano resonances which can be excited already in the linear array of dielectric cylinders. To support this claim, we calculate the…

Materials Science · Physics 2015-10-28 Peter Markos

Nanostructures that feature nonreciprocal light transmission are highly desirable building blocks for realizing photonic integrated circuits. Here, a simple and ultra-compact photonic-crystal structure, where a waveguide is coupled to a…

Optics · Physics 2014-09-11 Yi Yu , Yaohui Chen , Hao Hu , Weiqi Xue , Kresten Yvind , Jesper Mørk

We investigate a time-harmonic wave problem in a waveguide. By means of asymptotic analysis techniques, we justify the so-called Fano resonance phenomenon. More precisely, we show that the scattering matrix considered as a function of a…

Analysis of PDEs · Mathematics 2018-01-29 Lucas Chesnel , Sergei A. Nazarov

The spectral dependence of a bending loss of cascaded 60-degree bends in photonic crystal (PhC) waveguides is explored in a slab-type silicon-on-insulator system. Ultra-low bending loss of (0.05+/-0.03)dB/bend is measured at wavelengths…

Optics · Physics 2009-11-11 Solomon Assefa , Sharee J. McNab , Yurii A. Vlasov

We study a waveguide array with an embedded nonlinear saturable impurity. We solve the impurity problem in closed form and find the nonlinear localized modes. Next, we consider the scattering of a small-amplitude plane wave by a nonlinear…

Pattern Formation and Solitons · Physics 2015-05-13 Uta Naether , Daniel E. Rivas , Manuel A. Larenas , Mario I. Molina , Rodrigo A. Vicencio

Systems with coupled cavities and waveguides have been demonstrated as optical switches and optical sensors. To optimize the functionalities of these optical devices, Fano resonance with asymmetric and steep spectral line shape has been…

We measure and analyze reflection spectra of directly coupled systems of waveguides and cavities. The observed Fano lines offer insight in the reflection and coupling processes. Very different from side-coupled systems, the observed Fano…

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