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Related papers: Fano resonance in quadratic waveguide arrays

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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

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 consider the process of light scattering by optical solitons in a planar waveguide with homogeneous and inhomogeneous refractive index core. We observe resonant reflection (Fano resonances) as well as resonant transmission of light by…

Pattern Formation and Solitons · Physics 2007-05-23 S. Flach , V. Fleurov , A. V. Gorbach , A. E. Miroshnichenko

We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide in the array. We…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. 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 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 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 study the two-dimensional extension of the Fano-Anderson model on the basis of a two-dimensional optical waveguide array with a bi-modal defect. We demonstrate numerically the persistence of the Fano resonance in wavepacket scattering…

Pattern Formation and Solitons · Physics 2009-11-11 Rodrigo A. Vicencio , Andrey V. Gorbach , Sergej Flach

We investigate Fano-type anomalous transmission of energy of plane waves across lossless slab scatterers with periodic structure in the presence of non-robust guided modes. Our approach is based on rigorous analytic perturbation of the…

Mathematical Physics · Physics 2008-04-22 Natalia Ptitsyna , Stephen P. Shipman , Stephanos Venakides

In this research, we report the experimental evidence of the directional Fano resonances at the scattering of a plane, linearly polarized electromagnetic wave by a homogeneous dielectric sphere with high refractive index and low losses. We…

We study the scattering of magnetoinductive plane waves by internal (external) capacitive (inductive) defects coupled to a one-dimensional split-ring resonator array. We examine a number of simple defect configurations where Fano resonances…

Optics · Physics 2015-03-17 Uta Naether , Mario I. Molina

An S matrix approach is developed to describe elastic scattering resonances of systems where the scattered particle is asymptotically confined and the scattering potential lacks continuous symmetry. Examples are conductance resonances in…

Condensed Matter · Physics 2009-10-22 J. U. Noeckel , A. D. Stone

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…

Materials Science · Physics 2009-11-11 Andrey E. Miroshnichenko , Yuri S. Kivshar

Single particle resonances in quantum wires are generally Fano resonances. In case of Fano resonances, the scattering phase shift in some channels show sharp phase drops and that in the other channels do not. Phase shift in a particular…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. Singha Deo

We investigate the Fano resonance in grating structures by using coupled resonators. The grating consists of a perfectly conducting slab with periodically arranged subwavelength slit holes, where inside each period, a pair of slits sit very…

Analysis of PDEs · Mathematics 2020-06-30 Junshan Lin , Hai Zhang

We consider the process of low-power light scattering by optical solitons in a slab waveguide with homogeneous and inhomogeneous refractive index core. We observe resonant reflection (Fano resonance) as well as resonant transmission of…

Pattern Formation and Solitons · Physics 2007-05-23 A. V. Gorbach , V. Fleurov , S. Flach , A. E. Miroshnichenko

Bound states and scattering resonances in the unoccupied continuum of a two-dimensional crystal predicted in [Phys$.$Rev$.$ B 87, 041405(R) (2013)] are considered within an exactly solvable model. A close connection of the observed…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 R. O. Kuzian , D. V. Efremov , E. E. Krasovskii

A route toward lineshape engineering of Fano resonances in photonic structures is theoretically proposed, which uses dynamic modulation of the refractive index of a microcavity. The method is exemplified by considering coupled-resonator…

Optics · Physics 2016-01-15 Stefano Longhi

Fano mechanism is the universal explanation of asymmetric resonance appearing in different systems. We report the evidence of Fano-like resonance in selective reflection from a resonant two-level medium. We draw an analogy with the…

Optics · Physics 2016-04-13 Denis V. Novitsky

Despite a long history, light scattering by particles with size comparable with the light wavelength still unveils surprising optical phenomena, and many of them are related to the Fano effect. Originally described in the context of atomic…

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