Plasmonic Tamm states in periodic stubbed MIM waveguides: analytical and numerical study

Rezzouk, Yamina; Amrani, Madiha; Khattou, Soufyane; Boudouti, El Houssaine El; Rouhani, B. Djafari

doi:10.1364/josab.440599

Cited by 6 publications

(4 citation statements)

References 62 publications

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“…The slender tubes used in this work could easily be extended to 1D side-coupled millimeter-scale Helmholtz resonators operating in the subwavelength domain [55], as well as to 2D topological PnCs [36,59,60]. In analogy with other waveguide devices, these results can be straightforwardly transposed to electromagnetic waves in photonic circuits with an experiment in the radiofrequency domain using standard coaxial cables [57] and to metal-insulator-metal (MIM) plasmonic nanostructures [22,61]. This work is in progress.…”

Section: Discussionmentioning

confidence: 98%

“…Particularly, great interest has been paid to localized surface modes called Tamm states [15], which were originally discovered for electrons in condensed matter physics. Later, Tamm states have been extended to classical wave systems such as acoustics [16][17][18], photonics [19][20][21] and plasmonics [22].…”

Section: Introductionmentioning

confidence: 99%

“…In 1D periodic systems, the topology of the bands is characterized by the concept of Zak phase, a special kind of Berry phase [24][25][26][27][28]. Recently, topological interface states and Zak phase have been extended to various branches of physics such as photonics [26,[29][30][31][32][33][34], plasmonics [22,35], acoustics and mechanical systems [36][37][38][39] and metamaterials [40,41]. The topological invariant has been successfully applied to predict the existence of interface states from the Zak phases of bulk bands.…”

Section: Introductionmentioning

confidence: 99%

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Tunable Topological Acoustic Tamm States in Comblike Structures Based on Band Inversion around Flat Bands

et al. 2022

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We investigate the existence of acoustic Tamm states at the interface between two one-dimensional (1D) comblike phononic crystals (PnCs) based on slender tubes and discuss their topological or trivial character. The PnCs consist of stubs grafted periodically along a waveguide and the two crystals differ by their geometrical parameters (period and length of the stubs). We use several approaches to discuss the existence of Tamm states and their topology when connecting two half-crystals. First, we derive a necessary and sufficient condition on the existence of interface states based on the analysis of the bulk band structure and the symmetry of the band edge states. This approach is equivalent to an analysis of the Zak phases of the bulk bands in the two crystals. Indeed, a topological interface state should necessarily exist in any common bandgap of the two PnCs for which the lower (upper) band edges have opposite symmetries. A novelty of our structure consists in the fact that the symmetry inversion results from a band closure (flat band) rather than from a gap closure, in contrast to previous works. Then, such interface states are revealed through different physical quantities, namely: (i) the local density of states (LDOS), which exhibits a high localization around the interface; (ii) sharp peaks in the transmission spectra in the common bandgap when two finite crystals are connected together; (iii) the phases of the reflection coefficients at the boundary of each PnC with a waveguide, which have a direct relationship with the Zak phases. In addition, we show that the interface states can transform to bound states in the continuum (BICs). These BICs are induced by the cavity separating both PnCs and they remain robust to any geometrical disorder induced by the stubs and segments around this cavity. Finally, we show the impossibility of interface states between two connected PnCs with different stub lengths and similar periods. The sensitivity of these states to interface perturbations can find many practical applications in PnC sensors.

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Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tunable Topological Acoustic Tamm States in Comblike Structures Based on Band Inversion around Flat Bands

et al. 2022

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“…and [61,62] that the eigenmodes of the isolated cavities with either vanishing magnetic field H = 0, called the Neumann boundary condition (NBCS), or vanishing electric field E = 0, called the Dirichlet boundary condition (DBCS), at the end of d 0 can be deduced, respectively, from the reflection and transmission coefficients' zeros; (i.e., from vanishing the expression of τ (Equation (5a)) and ρ (Equation (5b)), respectively); when this cavity is grafted to an infinite waveguide (Figure 1a), namely,…”

Section: Basic Model and Theoretical Studymentioning

confidence: 99%

Bound States in the Continuum and Induced Resonances in a Simple Plasmonic Waveguide with Sensing Application

Rezzouk,

Khattou,

Amrani

et al. 2023

Photonics

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A Friedrich–Wintgen bound state in the continuum (FW-BIC) is of particular interest in the field of wave physics phenomena. It is induced via the destructive interference of two modes that belong to the same cavity. In this work, we analytically and numerically show the existence of FW-BIC in a T-shaped cavity composed of a stub of length d0 and two lateral branches of lengths d1 and d2, attached to an infinite waveguide. The whole system consists of metal–insulator–metal (MIM) plasmonic waveguides that operate in the telecommunication range. Theoretically, when d1 and d2 are commensurated, BIC is induced by these two branches. This latter is independent of d0 and the infinite waveguide, where the T structure is grafted. By breaking the BIC condition, we obtain a plasmon-induced transparency (PIT) resonance. The PIT resonance’s sensitivity to the dielectric material of the waveguide may be exploited to design a sensitive nanosensor suitable for sensing platforms, thanks to its very small footprint. A sensitivity of 1400 nm/RIU and a resolution of 1.86×10−2 RIU showed a high level of performance that the designed structure achieved. Moreover, this structure could also be used as a biosensor, in which we have studied the detection of the concentration in the human body, such as Na+, K+, and glucose solutions, and these sensitivities can reach 0.21, 0.28, and 1.74 nm dL/mg, respectively. Our designed structure advances with technology and has good application prospects, working as a biosensor to detect the blood’s hemoglobin level. The analytical results, obtained via Green’s function method, are validated via numerical simulations using Comsol Multiphysics software based on the finite element method.

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Zak Phase and Topological Tamm States Between Two Photonic Comb Structures

Khattou¹,

Rezzouk²,

Amrani³

et al. 2023

Lecture Notes in Electrical Engineering

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Plasmonic Tamm states in periodic stubbed MIM waveguides: analytical and numerical study

Cited by 6 publications

References 62 publications

Tunable Topological Acoustic Tamm States in Comblike Structures Based on Band Inversion around Flat Bands

Tunable Topological Acoustic Tamm States in Comblike Structures Based on Band Inversion around Flat Bands

Bound States in the Continuum and Induced Resonances in a Simple Plasmonic Waveguide with Sensing Application

Zak Phase and Topological Tamm States Between Two Photonic Comb Structures

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