Optical Tamm states in one-dimensional superconducting photonic crystal

Abouti, O. El; Boudouti, El Houssaine El; Hassouani, Y. El; Noual, Adnane; Djafari‐Rouhani, Bahram

doi:10.1063/1.4960983

Cited by 21 publications

(6 citation statements)

References 54 publications

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“…The transmission matrices of dielectrics A, B, C, D, E, F, G are indicated by M A , M B , M C , M D , M E , M F and M G with the specific expression equation (7). The reflection and transmission coefficients are calculated as [29]:…”

Section: Theoretical Model and Simulationmentioning

confidence: 99%

“…In general, because 1D PCLT has photonic band gaps (PBGs) [5], the electromagnetic waves (EWs) cannot propagate in the PBGs under normal conditions [6]. But numerous studies have shown that [7,8], under the condition of introducing appropriate defect layers, a passband at a specific frequency is created in the PBGs, in which EWs can propagate. This feature provides ideas for the implementation of logical operations.…”

Section: Introductionmentioning

confidence: 99%

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Logical OR operation and magnetic field sensing based on layered topology

Sui¹,

Zhang²,

Zhang³

2022

J. Phys. D: Appl. Phys.

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A one-dimensional (1-D) magnetized InSb photonic crystals layered topology (PCLT) proposed in this paper can realize the functions of logic OR operation and magnetic field sensing detection. In the proposed PCLT, under the transverse magnetic (TM) polarization, the value and frequency of the absorption peak (AP) can be controlled by the external magnetic fields and has a high-quality factor (QF), thus OR logical operation can be achieved. Additionally, since InSb has a magneto-optical effect under magnetic fields, the parity of the structure of the PCLT which adds InSb as defect layers can be broken. Electromagnetic waves (EWs) obtain nonreciprocity when propagating in opposite directions within the PCLT, which means that logical operation and magnetic field sensing detection based on AP can be obtained on the forward and backward scales. For the detection, on the forward scale, optimum performances of QF, sensitivity (S), the figure of merit (FOM), and detection limit (DL) are 62372.09, 0.0169 (2πc/d)/T, 4225 T-1, 1.2×10-5 T, and for the backward detection, the corresponding values are 63626.25, 0.0225 (2πc/d)/T, 5200 T-1, 1×10-5 T. The designed PCLT is innovative in multi-functional and multi-scale, having certain research value and prospects.

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Section: Theoretical Model and Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Logical OR operation and magnetic field sensing based on layered topology

Sui¹,

Zhang²,

Zhang³

2022

J. Phys. D: Appl. Phys.

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“…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%

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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“…Tamm states have also been investigated in systems containing a PC with a tunable cap layer adjacent to a uniform medium. Examples include PCs containing superconducting layers [13], systems containing metamaterials, both the PC layers [14,15] and the uniform medium [16], and systems with liquid crystal [17] and chiral [18] cap layers. In addition, OTSs have also been studied at a metal/PC interface [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Optical states in a 1D superlattice with multiple photonic crystal interfaces

Bianchi¹,

Kahn²

2020

J. Opt.

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Interface states in a 1-D photonic crystal heterostructure with multiple interfaces are examined. The heterostructure is a periodic network consisting of two different photonic crystals. In addition, the two crystals themselves are periodic, with one being made of alternating binary layers and the other being a quaternary crystal with a tunable layer. The second crystal can thus be smoothly transformed from one binary crystal to another. All individual photonic crystals in the superstructure have symmetric unit cells, as well as identical periods and optical path lengths. Therefore, as the tunable layer in the quaternary crystal expands, other layers will shrink. It is found that the behavior of the localized modes in the band gaps is dependent on whether there is an even or odd number of interfaces in the heterostructure. With certain sequences of all dielectric photonic crystals, topological states are shown to split in two, whereas for other heterostructures they are shown to vanish. Additional resonant modes appear depending on how many crystals are in the heterostructure. If the tunable layer is frequency dependent, the band gap can still support topological/resonant modes with some band gaps even supporting two separate groups.

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Optical Tamm states in one-dimensional superconducting photonic crystal

Cited by 21 publications

References 54 publications

Logical OR operation and magnetic field sensing based on layered topology

Logical OR operation and magnetic field sensing based on layered topology

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

Optical states in a 1D superlattice with multiple photonic crystal interfaces

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