Deaf band-based prediction of Dirac cone in acoustic metamaterials

Indaleeb, Mustahseen M.; Ahmed, Hossain; Saadatzi, Mohammadsadegh; Banerjee, Sourav

doi:10.1063/1.5122297

Cited by 13 publications

(6 citation statements)

References 43 publications

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“…However, when the square PnCs on the grid are rotated together at an angle θ = 7 • , as predicted, DRB at frequency ~18.38 kHz demonstrates absolute Dirac phenomena, shown in Figure 5(b1). DRA at frequency ~12.46 kHz also shows a trace of Dirac cone behavior [43], but it is not fully developed. When the square PnCs on the grid are rotated together at an angle θ = 17 • , as predicted, DRA at frequency ~12.46 kHz demonstrates absolute Dirac phenomena, shown in Figure 5(b2).…”

Section: Resultsmentioning

confidence: 97%

Simultaneous Dirac-like Cones at Two Energy States in Tunable Phononic Crystals: An Analytical and Numerical Study

Indaleeb

Banerjee

2021

Crystals

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Simultaneous occurrence of Dirac-like cones at the center of the Brillouin zone (Г) at two different energy states is termed Dual-Dirac-like cones (DDC) in this article. The occurrence of DDC is a rare phenomenon. Thus, the generation of multiple Dirac-like cones at the center of the Brillouin zone is usually non-manipulative and poses a challenge to achieve through traditional accidental degeneracy. However, if predictively created, DDC will have multiple engineering applications with acoustics and vibration. Thus, the possibilities of creating DDC have been identified herein using a simple square periodic array of tunable square phononic crystals (PnCs) in air media. It was found that antisymmetric deaf bands may play critical roles in tracking the DDC. Hence, pivoting on the deaf bands at two different energy states, an optimized tuning parameter was found to achieve Dirac-like cones at two distinct frequency states, simultaneously. Orthogonal wave transport identified as key Dirac phenomena was achieved at two frequencies, herein. It was identified that beyond the Dirac-like cone, the Dirac phenomena remain dominant when a doubly degenerated state created by a top band with positive curvature and a near-flat deaf band are lifted from a bottom band with negative curvature. Utilizing a mechanism of rotating the PnCs near a fixed deaf band, frequencies are tracked to form the DDC, and orthogonal wave transport is demonstrated. Exploiting the dispersion behavior, unique acoustic phenomena, such as ballistic wave transmission, pseudo diffusion and acoustic cloaking are also demonstrated at the Dirac frequencies using numerical simulation. The proposed tunable acoustic PnCs will have important applications in acoustic and ultrasonic imaging, waveguiding and even acoustic computing.

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Section: Resultsmentioning

confidence: 97%

Simultaneous Dirac-like Cones at Two Energy States in Tunable Phononic Crystals: An Analytical and Numerical Study

Indaleeb

Banerjee

2021

Crystals

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“…These are labeled as deaf bands since they do not couple with normal incident longitudinal waves. Very recently, Indaleeb et al [70] reported an acoustic metamaterial where a Dirac cone-like point is introduced. They presented a deaf band-based predictive model which has the potential to achieve an engineered Dirac cone.…”

Section: Antisymmetric Deaf Bandmentioning

confidence: 99%

Metamaterials for Acoustic Noise Filtering and Energy Harvesting

Mir

Mandal

Banerjee

2023

Sensors

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Artificial methods for noise filtering are required for the twenty-first century’s Factory vision 4.0. From various perspectives of physics, noise filtering capabilities could be addressed in multiple ways. In this article, the physics of noise control is first dissected into active and passive control mechanisms and then further different physics are categorized to visualize their respective physics, mechanism, and target of their respective applications. Beyond traditional passive approaches, the comparatively modern concept for sound isolation and acoustic noise filtering is based on artificial metamaterials. These new materials demonstrate unique interaction with acoustic wave propagation exploiting different physics, which is emphasized in this article. A few multi-functional metamaterials were reported to harvest energy while filtering the ambient noise simultaneously. It was found to be extremely useful for next-generation noise applications where simultaneously, green energy could be generated from the energy which is otherwise lost. In this article, both these concepts are brought under one umbrella to evaluate the applicability of the respective methods. An attempt has been made to create groundbreaking transformative and collaborative possibilities. Controlling of acoustic sources and active damping mechanisms are reported under an active mechanism. Whereas Helmholtz resonator, sound absorbing, spring-mass damping, and vibration absorbing approaches together with metamaterial approaches are reported under a passive mechanism. The possible application of metamaterials with ventilation while performing noise filtering is reported to be implemented for future Smart Cities.

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“…This innovation opens a broader perspective for the design and application of PnCs in the future and is a harbinger of the possibility of developing more efficient solutions for vibration and noise reduction in the fields of engineering and science. [13][14][15][16] Much research has been achieved in the study of bandgap analysis and vibration reduction properties of PnCs. Panahi 17) et al used the Maltese cross shape as an inspiration to design two new unit cells to stop the propagation of elastic waves at frequencies in the 0-12 kHz range.…”

Section: Introductionmentioning

confidence: 99%

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

Chai,

Liu,

Xiang

2024

Jpn. J. Appl. Phys.

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Low-frequency vibration poses a great danger to both industrial production and human health. Therefore, the development of efficient low-frequency vibration reduction structures remains a focus of academic and engineering research. In this paper, a novel low-frequency vibration reduction local resonance phononic crystal (LRPnC) plate with a square spiral beam LRPnC design is proposed. Through finite element simulation, the band structure and vibration characteristics of the LRPnC are first analyzed. On this basis, a gradient LRPnC plate with rainbow trapping effect is constructed by gradient arranging unit cells with different structural parameters to achieve broadband vibration reduction. Finally, the vibration reduction performance of the designed structure is experimentally verified. The finite element analysis results show that the designed gradient LRPnC plate can provide more than 20 dB of transmission attenuation over the full frequency range of 20 to 200 Hz. And the experimental results are consistent with the simulation results.

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Deaf band-based prediction of Dirac cone in acoustic metamaterials

Cited by 13 publications

References 43 publications

Simultaneous Dirac-like Cones at Two Energy States in Tunable Phononic Crystals: An Analytical and Numerical Study

Simultaneous Dirac-like Cones at Two Energy States in Tunable Phononic Crystals: An Analytical and Numerical Study

Metamaterials for Acoustic Noise Filtering and Energy Harvesting

Low-frequency broadband vibration reduction based on a square spiral beam local resonance phononic crystal

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