Simultaneous topological Bragg and locally resonant edge modes of shear horizontal guided wave in one-dimensional structure

Huang, Hongbo; Chen, Jiujiu; Huo, Shao-yong

doi:10.1088/1361-6463/aa7619

Cited by 39 publications

(22 citation statements)

References 37 publications

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“…Furthermore, the study of the topological interface states has been extended from fluid domain to solid domain. Huang et al have theoretically explored the topological interface states with the Zak phase in the periodic silicon system. Yin et al have designed a 1D elastic phononic crystal with aluminum beam and experimentally verified the topological interface states.…”

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confidence: 99%

“…The transmission spectrums and eigenmodes of the models can be calculated using the frequency domain study, in which the external boundaries are surrounded by the perfectly matched layers, therefore there is no reflected wave from the boundaries of the simulation domain. In order to verify the results of simulations, the eigenmode matching theory (EMMT) method has been applied to calculate the transmission spectrums of the phononic quasicrystal slabs

{true \overset{X}{true}}_{34,3} {true \overset{X}{true}}_{34,3}

and

{true \vec{X}}_{34,3}

. To perform the calculation by the EMMT method, we divide the quasicrystal slab into 17 layers and calculate the internal matrix of every layer as well as the boundary matrixes of adjacent layers.…”

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confidence: 99%

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Topological Interface States of Shear Horizontal Guided Wave in One‐Dimensional Phononic Quasicrystal Slabs

Zhao

Huo

Huang

et al. 2018

Physica Rapid Research Ltrs

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In this Letter, the topological interface states of shear horizontal guided wave are investigated in a one-dimension (1D) phononic quasicrystal system. It has been found that multiple interface modes can occur at the interface of two Fibonacci sequences slabs. The occurrence of the interface states is determined by the condition that the sum of the left and right surface impedances of the interface is equal to zero. Most significantly, as the generation number of the Fibonacci sequence increases, more interface states will come into being at the interface of the quasi-periodic slabs, which is caused by the accumulation of the detuning. This study of the topological interface states in phononic quasicrystals will greatly enrich the knowledge on the topology and broaden its application scopes.Topology, [1,2] stemming from modern mathematics, has been studied extensively in many fields, such as quantum Hall effect [3] and topological insulators, [4] since it generalizes the concept of symmetry class and can identify a family of structures which are unable to be related by continuous deformations. Recently, the analog between photonic [5][6][7][8][9][10] and quantum Hall effect was investigated and the concept of topology has been also applied in photonic crystals. Meanwhile, the topological interface states have attracted many researchers and have been widely studied in period or quasi-period photonic crystals, [11][12][13] as they are robust against the minor defects and exhibit high energy concentration in the interface which have potential and promising value in engineering applications.In parallel, motivated by the topological photonic states, the study on topological interface states in phononic [14,15] crystals has inspired uprising interests. Xiao et al. [16] have theoretically and experimentally studied the topological interface states with the Zak phase and band inversion in a 1D period air system. Furthermore, the study of the topological interface states has been extended from fluid domain to solid domain. Huang et al. [17] have theoretically explored the topological interface states with the Zak phase in the periodic silicon system. Yin et al. [18] have designed a 1D elastic phononic crystal with aluminum beam and experimentally verified the topological interface states. However, different from the previous extensive studies which were based on the period systems, the research in this Letter is performed in phononic quasicrystals, which are non-periodic structures with long range order and are another significant systems with the rich topological features. [19][20][21][22] Especially for the 1D phononic quasicrystals that perform fractal spectrums and contain many gaps, [13,23] they have not yet been used to study the topological interface states. In fact, on the one hand, because of the flaws in the material and errors in the manufacturing process, it is impossible for one to get perfect and strict periodic crystals. On the other hand, the quasicrystal system holds great advantages over lower refractive...

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confidence: 99%

{true \overset{X}{true}}_{34,3} {true \overset{X}{true}}_{34,3}

and

{true \vec{X}}_{34,3}

mentioning

confidence: 99%

Topological Interface States of Shear Horizontal Guided Wave in One‐Dimensional Phononic Quasicrystal Slabs

Zhao

Huo

Huang

et al. 2018

Physica Rapid Research Ltrs

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“…The discovery of topological phases of matter is one of the most exciting advancements inspired by quantum systems [1][2][3][4]. Since then, the concept of nontrivial topological physics has been introduced to classical systems, such as topological acoustic [5][6][7], and elastic waves systems [8][9][10], with particular interests focusing on achieving one-way protected edge states that are immune to backscattering. In recent years, photonic equivalents of condensed matter topological insulator (TIs) have led to unprecedented opportunities in the control of EM waves [11][12][13][14][15], and a variety of theoretical and experimental demonstrations have been reported from microwaves to optical waves [16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

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confidence: 99%

Reconfigurable Topological Phases in Two-Dimensional Dielectric Photonic Crystals

2019

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The extensive research on photonic topological insulators has opened up an intriguing way to control electromagnetic (EM) waves. In this work, we numerically demonstrate reconfigurable microwave photon analogues of topological insulator (TIs) in a triangular lattice of elliptical cylinders, according to the theory of topological defects. Multiple topological transitions between the trivial and nontrivial photonic phases can be realized by inhomogeneously changing the ellipse orientation, without altering the lattice structure. Topological protection of the edge states and reconfigurable topological one-way propagation at microwave frequencies, are further verified. Our approach provides a new route towards freely steering light propagations in dielectric photonic crystals (PCs), which has potential applications in the areas of topological signal processing and sensing.

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“…The traditional methods are to transform the quasi-period structure to the periodic one, such as periodically repeating the sequence and then making the period tend to infinity. In addition, the transfer matrix and finite element methods [12][13][14] are also the effective ones to investigate waves in periodic, quasi-periodic, and aperiodic structures.Apart from the field analysis, the much important phenomena in a waveguide are the bandgap structures and guided mode characteristics. The bandgaps in the periodic waveguide have been widely investigated, and a lot of theories have been developed.…”

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Non‐Bragg Bands in Acoustic Quasi‐Periodic Fibonacci Waveguides

Liu

et al. 2019

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In this Letter, an algebraic topology analysis on the bandgaps in phononic Fibonacci waveguides consisting of wide and narrow stainless steel pipes is presented. It has been found that the non‐Bragg forbidden gaps can also exist in quasi‐periodic waveguide structures based on the constructed relations between the quasi‐periodic and periodic waveguides. The so‐called non‐Bragg gaps are caused by the resonances between different transverse modes while the same modes with matching longitudinal wavenumbers always result in the traditional Bragg gaps. In the experiments in this study, the observed non‐Bragg gap appears earlier than the Bragg one in the previous generations of Fibonacci sequences, and the sound attenuation is much more intense, because the lower generations with shorter lengths can only provide enough interaction effects in the transverse dimension. The algebraic topology methods and the observations of non‐Bragg gaps in quasi‐periodic waveguides can not only enrich the knowledge on wave structure interactions but also benefit various applications in wave control engineering.

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Simultaneous topological Bragg and locally resonant edge modes of shear horizontal guided wave in one-dimensional structure

Cited by 39 publications

References 37 publications

Topological Interface States of Shear Horizontal Guided Wave in One‐Dimensional Phononic Quasicrystal Slabs

Topological Interface States of Shear Horizontal Guided Wave in One‐Dimensional Phononic Quasicrystal Slabs

Reconfigurable Topological Phases in Two-Dimensional Dielectric Photonic Crystals

Non‐Bragg Bands in Acoustic Quasi‐Periodic Fibonacci Waveguides

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