Aharonov-Bohm-effect induced transparency and reflection in mesoscopic rings side coupled to a quantum wire

Mrabti, T.; Labdouti, Z.; Mouadili, A.; Boudouti, El Houssaine El; Djafari‐Rouhani, Bahram

doi:10.1016/j.physe.2019.113770

Cited by 21 publications

(15 citation statements)

References 75 publications

(94 reference statements)

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“…( 2) by the appropriate values of a given photonic system. Also, these results can be transposed straightforwardly to acoustic waves in slender tubes [65], mesoscopic quantum waveguides [66], and spin waves in magnonic circuits [67] as the mathematical equations governing all these excitations are isomorphic.…”

Section: Discussionmentioning

confidence: 99%

Comparison of density of states and scattering parameters in coaxial photonic crystals: Theory and experiment

et al. 2020

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We present an analytical and experimental study of the scattering parameters in a one dimensional (1D) symmetric photonic crystal and their relation to the density of states (DOS). The 1D photonic crystal is constituted by N alternating wires and loops that are either inserted horizontally or attached vertically between the source and load on a transmission line. The complete knowledge of the scattering matrix coefficients (S i j ) allows us to access the DOS and eigenvalues of the finite periodic structure as well as the DOS and dispersion curves of an infinite periodic system. We show the usefulness of the transmission and reflection delay times and highlight their similarities and differences with respect to the DOS, in particular as a function of the absorption strength in the system. For both horizontal and vertical geometries, we show analytically that in a lossless structure, the DOS is proportional to the Friedel phase, namely the derivative of the argument of the determinant of the scattering matrix S. For a low loss system, this proportionality remains still valid with a good approximation and can be used as a practical tool to derive the DOS and therefore the dispersion curves from experimental data. Also, the absorption can be accurately extracted from the measurement of the modulus of the determinant of S. However, for increasing strength of dissipation, we show how and why these relationships cease to be valid. Still, the transmission delay time can remain an efficient tool to derive DOS even at relatively high dissipation strength. Additionally, we show that in the vertical geometry the transmission and reflection delay times exhibit negative delta peaks which are related directly to the eigenmodes of the finite system with different boundary conditions on its extremities. Our theoretical results are obtained by means of the Green's function approach, whereas the experimental demonstrations are performed using standard coaxial cables in the radio-frequency domain.

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Section: Discussionmentioning

confidence: 99%

Comparison of density of states and scattering parameters in coaxial photonic crystals: Theory and experiment

et al. 2020

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“…The first proposal of BICs was due to Von Neumann and Wigner in 1929 for quantum systems [2]. To date, BICs represent an ubiquitous phenomenon applying to all domains of wave physics, such as acoustics [3][4][5][6][7][8][9][10], mesoscopics [11,12], photonics [13][14][15], and plasmonics [16][17][18]. There are numerous realizations of BICs in classical systems, leading to a wide variety of different applications such as lasers [19], filters [20,21], demultiplexers [22], and sensors [23,24].…”

Section: Introductionmentioning

confidence: 99%

Friedrich-Wintgen bound states in the continuum and induced resonances in a loop laterally coupled to a waveguide

et al. 2022

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The concept of bound states in the continuum (BICs) in a simple cavity attracts much interest in recent works in wave physics. The BICs are perfectly confined modes with an infinite lifetime that reside inside the continuous spectrum of radiative modes, but they remain totally decoupled from it. There exist several types of BICs based on their physical origin: one of the most interesting types is Friedrich-Wintgen (FW) BICs which result from the destructive interference of two resonant modes belonging to the same cavity. Here, we investigate theoretically and experimentally the existence of FW BICs in a side-coupled loop. The cavity is made of a loop of length 2d = d 2 + d 3 connected to a stub of length d 4 . The whole cavity is attached vertically to two semi-infinite waveguides by a wire of length d 1 . We demonstrate that the BICs can be induced either by the loop-stub system or by the two arms of lengths d 2 and d 3 of the loop for specific geometrical parameters. When a perturbation in the system produces a deviation from the BIC condition, the latter transforms to either electromagnetically induced transparency (EIT) or reflection (EIR) or Autler-Townes splitting (ATS) resonances. Both EIT and ATS exhibit similar features in the transmission spectrum, namely, a transparency window; however, they have different physical origins. Therefore, EIT and ATS resonances are fitted with corresponding analytical model expressions, revealing good agreements. The Akaike's information criterion is then used to quantitatively discern EIT from ATS and the transition from ATS to EIT is also carried out. Our theoretical results are obtained by means of the Green's function method which enables us to obtain the transmission and reflection coefficients, dispersion relations, as well as density of states and scattering matrix. An experimental validation of all these results is performed in the radio-frequency domain using coaxial cables.

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“…Therefore, they remain confined in some parts of the system even though they coexist with a continuous spectral range of radiating waves that can transport energy away. However, these states can exist only under an appropriate choice of the geometrical or material parameters of the system and/or under specific external excitation conditions [29,32]. Therefore, by slightly detuning the system from the BIC condition (for example, changing an incidence angle), the BIC transforms into a quasi-BIC characterized by a finite width because of its interaction with the surrounding media as well as intrinsic losses.…”

Section: Introductionmentioning

confidence: 99%

Experimental Evidence of the Existence of Bound States in the Continuum and Fano Resonances in Solid-Liquid Layered Media

Amrani¹,

Quotane²,

Ghouila-Houri

et al. 2021

Phys. Rev. Applied

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Bound states in continuum (BICs) are resonances with zero width (infinite lifetime) without any leakage into the surrounding media. Their fascinating properties and potential applications have attracted a great deal of interest. In this paper, we give an analytical, numerical, and experimental demonstration of BICs in simple acoustic structures based on either a single solid layer or a triple solid-liquid-solid layer inserted between two liquids. These modes are an intrinsic property of the inserted structure (solid layer or solidliquid-solid triple layer) with free surfaces and are independent of the surrounding media. Two kinds of BICs are discussed: (i) Fabry-Perot (FP) BICs exist as the consequence of the intersection of the local resonances induced by inserted structure intersect the transmission zeros induced by the solid layers. (ii) Symmetry-protected (SP) BICs occur when appear at normal incidence due to the decoupling of the transverse modes in the solid layer from the longitudinal modes that propagate in the solid and solidliquid multilayer media. When the incidence angle departs slightly from the BIC conditions, the latter transform into Fano resonances characterized by an asymmetric line shape in the transmission spectra. In addition, we show that the transmission zeros give rise to negative delay times and therefore acoustic superluminal effect. The theoretical results are obtained by means of the Green's function method, whereas the experimental measurements are carried out in ultrasonic domain using plexiglass plates in water. These results may have important applications to realize subsonic and acoustic superluminal phenomena as well as acoustic filters and sensors.

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Aharonov-Bohm-effect induced transparency and reflection in mesoscopic rings side coupled to a quantum wire

Cited by 21 publications

References 75 publications

Comparison of density of states and scattering parameters in coaxial photonic crystals: Theory and experiment

Comparison of density of states and scattering parameters in coaxial photonic crystals: Theory and experiment

Friedrich-Wintgen bound states in the continuum and induced resonances in a loop laterally coupled to a waveguide

Experimental Evidence of the Existence of Bound States in the Continuum and Fano Resonances in Solid-Liquid Layered Media

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