Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Miroshnichenko, Andrey E.; Kivshar, Yuri S.

doi:10.1364/opex.13.003969

Cited by 44 publications

(36 citation statements)

References 19 publications

(35 reference statements)

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“…INTRODUCTION Fano resonance was originally discovered in the study of atomic physics [1] and manifests as an asymmetric line shape in the atomic absorption spectrum. In recent years, however, there has been an explosion of interest in exploration of Fano interference effect in nanophotonic structures [2][3][4][5][6][7][8][9][10][11][12][13]. Such interest arises since Fano interference effects in fact occur rather frequently in a wide variety of nanophotonic structures.…”

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confidence: 99%

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Fano interference in two-photon transport

Fan

2016

Phys. Rev. A

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We present a general input-output formalism for the few-photon transport in multiple waveguide channels coupled to a local cavity. Using this formalism, we study the effect of Fano interference in two-photon quantum transport. We show that the physics of Fano interference can manifest as an asymmetric spectral line shape in the frequency dependence of the two-photon correlation function.The two-photon fluorescence spectrum, on the other hand, does not exhibit the physics of Fano interference.

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confidence: 99%

“…On the other hand, there has been interest in exploiting such linear interference effect as a basis for engineering and enhancing nonlinear optical interactions, in particular for optical switching applications [6][7][8][23][24][25][26]. In all these studies, light is treated as classical electromagnetic waves.…”

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confidence: 99%

Fano interference in two-photon transport

Fan

2016

Phys. Rev. A

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“…It is clear that the system studied here has significant differences in the lack of control of the particular states undergoing interference as well as being open [38][39][40]. However, the discrete state forming part of the interference along with the continuum corresponds to a collimated electron wave between the QPC and cavity that is then reflected towards the Ohmic contact and subsequently interferes.…”

Section: B Fano Resonancementioning

confidence: 99%

Interference Effects in a Tunable Quantum Point Contact Integrated with an Electronic Cavity

et al. 2017

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We show experimentally how quantum interference can be produced using an integrated quantum system comprising an arch-shaped short quantum wire (or quantum point contact, QPC) of 1D electrons and a reflector forming an electronic cavity. On tuning the coupling between the QPC and the electronic cavity, fine oscillations are observed when the arch QPC is operated in the quasi-1D regime. These oscillations correspond to interference between the 1D states and a state which is similar to the Fabry-Perot state and suppressed by a small transverse magnetic field of AE60 mT. Tuning the reflector, we find a peak in resistance which follows the behavior expected for a Fano resonance. We suggest that this is an interesting example of a Fano resonance in an open system which corresponds to interference at or near the Ohmic contacts due to a directly propagating, reflected discrete path and the continuum states of the cavity corresponding to multiple scattering. Remarkably, the Fano factor shows an oscillatory behavior taking peaks for each fine oscillation, thus, confirming coupling between the discrete and continuum states. The results indicate that such a simple quantum device can be used as building blocks to create more complex integrated quantum circuits for possible applications ranging from quantum-information processing to realizing the fundamentals of complex quantum systems.

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“…In this case, we obtain from the second equation in Eqs. (24) that the amplitude A α uniquely determines the amplitude A 0 . Substituting the latter expression into Eqs.…”

Section: B On-site Resonatormentioning

confidence: 99%

“…(21) we have neglected higher-order couplings proportional to the integrals of E * n ( r) E m ( r + R n − R m ) with n = m but take into account the coupling coefficients which involve integrals of G( r + R n − R m , r ′ |ω) with n = m. This approximation is sufficiently accurate in most cases, as we demonstrate in Refs. [24,26]. We would like to mention that in Eqs.…”

Section: A Discrete Equation Approachmentioning

confidence: 99%

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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Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Cited by 44 publications

References 19 publications

Fano interference in two-photon transport

Fano interference in two-photon transport

Interference Effects in a Tunable Quantum Point Contact Integrated with an Electronic Cavity

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

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