Highly confined Love waves modes by defect states in a holey SiO2/quartz phononic crystal

Liu, Yuxin; Talbi, Abdelkrim; Pernod, Philippe; Matar, Olivier Bou

doi:10.1063/1.5040069

Cited by 8 publications

(11 citation statements)

References 51 publications

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“…The transmission spectra is calculated by simulating the same dispersive SAW device introduced in our preceding works [63,64], which has been validated by experiment. The model consists of two parts of aluminum interdigital transducers (IDTs) with the unit cell located between IDTs.…”

Section: Resonant Properties Of Single Pillar Linementioning

confidence: 98%

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Autler-Townes Splitting and Acoustically Induced Transparency Based on Love Waves Interacting with a Pillared Metasurface

et al. 2019

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Autler-Townes Splitting (ATS) and Electromagnetically Induced Transparency (EIT) are similar phenomena but distinct in nature. They have been widely discussed and distinguished by employing the Akaike information criterion (AIC). However, such work is lacking in acoustic system. In this work, the interaction of Love waves with two-line pillared meta-surface is numerically investigated by Finite Element Method. Acoustic analogue of ATS, Fabry-Perot resonance and cavity modes are first demonstrated in two lines of identical pillars by varying the distance between the pillar lines. By detuning the radius of one line of pillars, Fabry-Perot resonance along with two different pillar resonances give rise to the acoustic analogue of EIT (AIT) when the distance between the pillar lines is a multiple of half wavelength. ATS and AIT formula models are used to fit the transmission spectra, showing good agreements with numerical results. The quality of the fit models is quantitatively evaluated by resorting to the AIC. We show that theoretical and analytical discrimination between ATS and AIT are methodologically complementary. These results should have important consequences for potential acoustic applications such as wave control, designing of meta-materials and bio-sensors.

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Section: Resonant Properties Of Single Pillar Linementioning

confidence: 98%

“…The surfaces of the pillars coincide with the plane z = 0. The wavelength normalized energy depth (NED) [63] is calculated to select the surface modes:…”

Section: Unit Cell Modelmentioning

confidence: 99%

Autler-Townes Splitting and Acoustically Induced Transparency Based on Love Waves Interacting with a Pillared Metasurface

et al. 2019

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“…Iterative methods approach the solution of a linear system = from an initial guess solution 0 by a number of iterative steps. Compared with the direct methods such as LU and Gauss Jordan which need an overall computational cost of the order 2 3 3 , the cost of iterative methods is the order of 2 operations for each iteration. Iterative methods are especially competitive with direct methods in the case of large sparse matrices, to avoid the potential introduction of the dramatic fill-in by the direct methods.…”

Section: Spectral Information and Iterative Solversmentioning

confidence: 99%

“…Eigenvalue and linear system problems occur in many areas of science and engineering, such as structural analysis 1,2 , wave modes simulations 3,4 and electromagnetic applications 5,6 . Eigenvalues are also important in analysing numerical methods.…”

Section: Introductionmentioning

confidence: 99%

A parallel generator of non‐Hermitian matrices computed from given spectra

Petiton

2020

Concurrency and Computation

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Summary Iterative linear algebra methods to solve linear systems and eigenvalue problems with non‐Hermitian matrices are important for both the simulation arising from diverse scientific fields and the applications related to big data, machine learning, and artificial intelligence. The spectral property of these matrices has impacts on the convergence of these solvers. Moreover, with the increase of the size of applications, iterative methods are implemented in parallel on clusters. Analysis of their behaviors with non‐Hermitian matrices on supercomputers is so complex that we need to generate large‐scale matrices with different given spectra for benchmarking. These test matrices should be non‐Hermitian and nontrivial, with high dimension. This paper highlights a scalable matrix generator that constructs large sparse matrices using the user‐defined spectrum, and the eigenvalues of generated matrices are ensured to be the same as the predefined spectrum. This generator is implemented on CPUs and multi‐GPUs platforms, with good strong and weak scaling performance on several supercomputers. We also propose a method to verify its ability to guarantee the given spectra. Finally, we give an example to evaluate the numerical properties and parallel performance of iterative methods using this matrix generator.

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“…The introduced defects can be designed so that guiding modes are created inside the local resonance bandgap, which can be used as SAW waveguides. [27][28][29] Acoustoelectric interaction, which was introduced in 1953, 30 occurs during the propagation of elastic waves in piezoelectric semiconductor materials. This phenomenon modifies the velocity, amplitude, and phase of the elastic wave, since the reverse piezoelectric effect creates an additional stiffness in the medium as a result of bounded charges induced by the propagating elastic wave.…”

Section: Introductionmentioning

confidence: 99%

Reconfigurable locally resonant surface acoustic demultiplexing behavior in ZnO-based phononic crystal

Taleb

Darbari

Khelif

2021

Journal of Applied Physics

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We present the design and numerical investigation of a reconfigurable and miniature locally resonant surface acoustic wave demultiplexer based on a ZnO pillar phononic crystal, for the first time. Hollow cylinder line defects are used as waveguides, due to their good structural controllability over the local resonant waveguiding frequency and bandwidth. Two local resonant surface acoustic waveguides are designed and simulated as the output channels of the demultiplexer, and the shear-horizontal wave transmission spectra are calculated for each channel individually. The designed radio frequency demultiplexing output channels support frequencies of 4.14 GHz and 4.28 GHz, with respective bandwidths of 40 MHz and 60 MHz, while their spatial separation is just about 800 nm. In order to achieve a reconfigurable output characteristic, the effect of acoustoelectric interaction in piezoelectric semiconductors is numerically simulated in this study. The acoustoelectric interaction causes an additional stiffness in ZnO that can be released by adding extra charge carriers, i.e., increasing conductivity, thus changing the effective elasticity of the ZnO structures and the guiding frequencies of the output channels. Two output frequencies show red shifts of about 100 MHz and 150 MHz by extremely increasing the conductivity of ZnO structures from 0.01 S/m to 100 S/m.

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Highly confined Love waves modes by defect states in a holey SiO2/quartz phononic crystal

Cited by 8 publications

References 51 publications

Autler-Townes Splitting and Acoustically Induced Transparency Based on Love Waves Interacting with a Pillared Metasurface

Autler-Townes Splitting and Acoustically Induced Transparency Based on Love Waves Interacting with a Pillared Metasurface

A parallel generator of non‐Hermitian matrices computed from given spectra

Reconfigurable locally resonant surface acoustic demultiplexing behavior in ZnO-based phononic crystal

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