Nonlinear Fano resonance and bistable wave transmission

Miroshnichenko, Andrey E.; Mingaleev, Sergei F.; Flach, Sergej; Kivshar, Yuri S.

doi:10.1103/physreve.71.036626

Cited by 129 publications

(149 citation statements)

References 25 publications

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“…If the frequency ω α of the resonator α lies inside the waveguide passing band, Fano-like resonant scattering with zero transmission at the resonance frequency ω res , lying in the vicinity of the resonator's frequency, ω α , should be observed [13,22]. This corresponds to the condition σ(ω res ) = 0 and, based on the terminology developed in Refs.…”

Section: A Linear Transmissionmentioning

confidence: 99%

“…Then, in Sec. III.A we derive a system of effective discrete equations [25,26] and utilize a recently developed approach for its analysis [22,23]. Specifically, in Sec.…”

Section: (C)mentioning

confidence: 99%

“…To address these issues, we employ a recently developed approach [22][23][24] and describe the photonic-crystal devices via effective discrete equations that are derived by means of a Green's function formalism [25][26][27][28][29]. This approach allows us to study the effect of the discrete nature of the device on its transmission properties.…”

Section: (C)mentioning

confidence: 99%

“…1(c). Our analysis is based on effective discrete equations that have been derived for the description of photonic crystal devices [25][26][27][28][29] in combination with a recently developed discrete model approach to nonlinear Fano resonances [22].…”

Section: Discrete Model Approachmentioning

confidence: 99%

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All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

et al. 2006

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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 structures and obtain explicit analytical expressions for the bistability thresholds and transmission coefficients which provide the basis for a detailed understanding of the possibilities associated with these structures. Next, we discuss limitations of standard coupled-mode theory and present an alternative analytical approach based on the effective discrete equations derived using a Green's function method. We find that the discrete nature of the photonic crystal waveguides allows a novel, geometry-driven enhancement of nonlinear effects by shifting the resonator location relative to the waveguide, thus providing an additional control of resonant waveguide transmission and Fano resonances. We further demonstrate that this enhancement may result in the lowering of the bistability threshold and switching power of nonlinear devices by several orders of magnitude. Finally, we show that employing such enhancements is of paramount importance for the design of all-optical devices based on slow-light photonic crystal waveguides.

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Section: A Linear Transmissionmentioning

confidence: 99%

“…Then, in Sec. III.A we derive a system of effective discrete equations [25,26] and utilize a recently developed approach for its analysis [22,23]. Specifically, in Sec.…”

Section: (C)mentioning

confidence: 99%

Section: (C)mentioning

confidence: 99%

Section: Discrete Model Approachmentioning

confidence: 99%

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All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

et al. 2006

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“…In the case of the constructive interference, it is reasonable to assume that we can achieve enhancement phenomena and emergence of resonant effects. Instead, destructive interference might result in the suppression of the particle transport [13,14]. In this article we are aiming at checking this assumption.…”

mentioning

confidence: 99%

Magnetoplasmon Fano resonance in Bose-Fermi mixtures

2016

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We investigate theoretically the magnetoplasmon (cyclotron) resonance in a hybrid system consisting of spatially separated two-dimensional layers of electron and dipolar exciton gases coupled via the Coulomb forces. We study the dynamics of this system under the action of weak alternating external electromagnetic field in the presence of uniform magnetic field, perpendicular to the layers. We reveal that the electromagnetic power absorption exhibits a double-resonance spectrum. We show that the first resonance is associated with the conventional well-studied magnetoplasmon excitations of the electron gas and it has a standard Lorentzian shape, whereas the second resonance is a peculiarity attributed to the Bose-condensed exciton gas. Further, we explicitly demonstrate that the spectrum of the system exhibits an asymmetric Fano-type profile, where the excitonic peak is extremely narrow in comparison with the magnetoplasmon one. We show that the shape of the resonance and the position of the peaks depends on the magnitude of the applied magnetic field, exciton condensate density and exciton-impurity scattering time. In particular, the Fano profile turns into a Lorentzian shape with decreasing exciton-impurity scattering time and the position of the plasmon-associated resonance is mainly sensitive and determined by the magnetic field strength, whereas the exciton-condensate peak position is determined by exciton condensate density. It opens the experimental possibility to determine the latter quantity in cyclotron resonance experiment.

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Fano‐Resonance‐Driven Spin‐Valve Effect Using Single‐Molecule Magnets

Hong

Kim

2013

Angewandte Chemie

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What's your spin on it? A carbon nanotube device decorated with single‐molecule magnets through π–π stacking interactions (see scheme) was shown to have spin‐dependent transmission (red=spin‐up, blue=spin‐down) around the energy levels of the molecule owing to Fano resonance, which could be tuned by adjusting the strength of the π–π stacking. This Fano‐resonance‐driven spin‐valve effect offers a new method to make molecular spintronics.

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Nonlinear Fano resonance and bistable wave transmission

Cited by 129 publications

References 25 publications

All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures

Magnetoplasmon Fano resonance in Bose-Fermi mixtures

Fano‐Resonance‐Driven Spin‐Valve Effect Using Single‐Molecule Magnets

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