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Related papers: Fano resonances in saturable waveguide arrays

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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

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 describe theoretically and observe experimentally the formation of a surface state in a semi-infnite waveguide array with side-coupled waveguide, designed to simultaneously achieve Fano and Fabry-Perot resonances. We demonstrate that the…

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

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

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

The possibility of controlling Fano lineshapes in the electronic transmission is addressed in terms of a simple discrete model within a tight binding framework, in which a finite sized ordered chain is coupled from one side to an infinite…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arunava Chakrabarti

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

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 examine a one-dimensional linear waveguide array containing a single saturable waveguide. By using the formalism of lattice Green functions, we compute in closed form the localized mode and the transmission across the impurity in closed…

Pattern Formation and Solitons · Physics 2018-09-19 M. I. Molina

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

We examine a one-dimensional nonlinear (Kerr) waveguide array which contains a single "void" waveguide where the nonlinearity is identically zero. We uncover a new family of nonlinear localized modes centered at or near the void, and their…

Pattern Formation and Solitons · Physics 2019-10-24 Cristian Mejía-Cortés , J. C. Cardona , Andrey A. Sukhorukov , Mario. I. Molina

We consider T--shaped, two--dimensional quantum waveguides containing attractive or repulsive impurities with a smooth, realistic shape, and study how the resonance behavior of the total conductance depends upon the strength of the defect…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Cattapan , P. Lotti

We present the results of local tunneling conductivity spatial distribution detailed theoretical investigations in vicinity of impurity atom for a wide range of applied bias voltage. We observed Fano resonance in tunneling conductivity…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 V. N. Mantsevich , N. S. Maslova

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

This work analyzes the effects of cubic nonlinearities on certain resonant scattering anomalies associated with the dissolution of an embedded eigenvalue of a linear scattering system. These sharp peak-dip anomalies in the frequency domain…

Mathematical Physics · Physics 2015-06-04 Stephen P. Shipman , Stephanos Venakides

The electron transport through a quantum sphere with three one-dimensional wires attached to it is investigated. An explicit form for the transmission coefficient as a function of the electron energy is found from the first principles. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. A. Margulis , M. A. Pyataev

We study the cooperative optical coupling between regularly spaced atoms in a one-dimensional waveguide using decompositions to subradiant and superradiant collective excitation eigenmodes, direct numerical solutions, and analytical…

Quantum Physics · Physics 2017-10-04 Janne Ruostekoski , Juha Javanainen

We investigate the effect of decoherence on Fano resonances in wave transmission through resonant scattering structures. We show that the Fano asymmetry parameter q follows, as a function of the strength of decoherence, trajectories in the…

When wave scattering systems are subject to certain symmetries, resonant states may decouple from the far-field continuum; they remain localized to the structure and cannot be excited by incident waves from the far field. In this work, we…

Analysis of PDEs · Mathematics 2021-10-27 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Hyundae Lee , Sanghyeon Yu
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