Study of Physical Parameters on the Properties of Phononic Band Gaps

Aly, Arafa H.; Mehaney, Ahmed; Abdel‐Rahman, Ehab

doi:10.1142/s0217979213500471

Cited by 48 publications

(18 citation statements)

References 13 publications

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“…Arafa et al . observed that the bonded materials have an effect on the band structure in the 1D PnCs 55 . Also, Denghui and Zhiyu studied the locally resonant PnC double panel structure consisting of a 2D periodic array of cylindrical locally resonant pillar connected between upper and lower plates from rubber layer 56 .…”

Section: Resultsmentioning

confidence: 95%

Locally Resonant Phononic Crystals at Low frequencies Based on Porous SiC Multilayer

Mehaney

Ahmed

2019

Sci Rep

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In this work, a one-dimensional porous silicon carbide phononic crystal (1D-PSiC PnC) sandwiched between two rubber layers is introduced to obtain low frequency band gaps for the audible frequencies. The novelty of the proposed multilayer 1D-PnCs arises from the coupling between the soft rubber, unique mechanical properties of porous SiC materials and the local resonance phenomenon. The proposed structure could be considered as a 1D acoustic Metamaterial with a size smaller than the relevant 1D-PnC structures for the same frequencies. To the best of our knowledge, it is the first time to use PSiC materials in a 1D PnC structure for the problem of low frequency phononic band gaps. Also, the porosities and thicknesses of the PSiC layers were chosen to obtain the fundamental band gaps within the bandwidth of the acoustic transducers and sound suppression devices. The transmission spectrum of acoustic waves is calculated by using the transfer matrix method (TMM). The results revealed that surprising low band gaps appeared in the transmission spectra of the 1D-PSiC PnC at the audible range, which are lower than the expected ones by Bragg’s scattering theory. The frequency at the center of the first band gap was at the value 7957 Hz, which is 118 times smaller than the relevant frequency of other 1D structures with the same thickness. A comparison between the phononic band gaps of binary and ternary 1D-PSiC PnC structures sandwiched between two rubber layers at the micro-scale was performed and discussed. Also, the band gap frequency is controlled by varying the layers porosity, number and the thickness of each layer. The simulated results are promising in many applications such as low frequency band gaps, sound suppression devices, switches and filters.

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Section: Resultsmentioning

confidence: 95%

Locally Resonant Phononic Crystals at Low frequencies Based on Porous SiC Multilayer

Mehaney

Ahmed

2019

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“…If the interference was a constructive interference, it results in the formation of the stopped PC band gaps 64 , 65 . On the other side, when the interference is destructive, the resulted band is a transmission band 27 , 66 . The formula of the incident wave equation was written in Eq.…”

Section: Methodsmentioning

confidence: 99%

Fano resonance based defected 1D phononic crystal for highly sensitive gas sensing applications

Zaki

Mehaney

Hassanein

et al. 2020

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The defected acoustic band gap materials are promising a new generation of sensing technology based on layered cavities. We introduced a novel 1D defected phononic crystal (1D-DPC) as a high-sensitive gas sensor based on the Fano resonance transmitted window. Our designed (Lead–Epoxy) 1D-DPC multilayer has filled with a defect layer with different gases at different temperatures. In this study, Fano resonance—based acoustic band gap engineering has used to detect several gases such as O2, CO2, NH3, and CH4. For the first time, Fano resonance peaks appeared in the proposed gas sensor structures which attributed to high sensitivity, Q-factor, and figure-of-merit values for all gases. Also, the relation between the Fano resonance frequency and acoustic properties of gases at different temperatures has been studied in detail. The effect of the damping rate on the sensitivity of the gas sensor shows a linear behavior for CO2, O2, and NH3. Further, we introduced the effect of temperature on the damping rate of the incident waves inside the 1D-DPC gas sensor. The highest sensitivity and figure of merit were obtained for O2 of 292 MHz/(kg/m3) and 647 m3/Kg, respectively. While the highest figure-of-merit value of 60 °C−1 at 30 °C was attributed to O2. The transfer matrix method is used for calculating the transmission coefficient of the incident acoustic wave. We believe that the proposed sensor can be experimentally implemented.

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“…Since the vibrations occur very rapidly, there is no big chance to thermal energies to flow and the elastic constants measured by elastic waves propagation are changed adiabatically. The elastic constants are connected to the isothermal constants by the following relation [51][52][53][54][55],…”

Section: Temperature Influences On Pncsmentioning

confidence: 99%

Phononic Crystals and Thermal Effects

Aly¹,

Mehaney²

2019

Photonic Crystals - A Glimpse of the Current Research Trends

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In this work, we demonstrate a comprehensive theoretical study of onedimensional perfect and defect phononic crystals. In our study, we investigate the elastic and shear waves with the influences of thermal effects. The numerical calculations based on the transfer matrix method (TMM) and Bloch theory are presented, where the TMM is obtained by applying the continuity conditions between two consecutive sub-cells. Also, we show that by introducing a defect layer in the perfect periodic structures (defect phononic crystals), we obtain localization modes within the band structure. These localized modes can be implemented in many applications such as impedance matching, collimation, and focusing in acoustic imaging applications. Then, we investigate the influences of the incident angle and material types on the number and intensity of the localized modes in both cases of perfect/defect crystals. In addition, we have observed that the temperature has a great effect on the wave localization phenomena in phononic band gap structures. Such effects can change the thermal properties of the PnCs structure such as thermal conductivity, and it can also control the thermal emission, which is contributed by phonons in many engineering structures.

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Study of Physical Parameters on the Properties of Phononic Band Gaps

Cited by 48 publications

References 13 publications

Locally Resonant Phononic Crystals at Low frequencies Based on Porous SiC Multilayer

Locally Resonant Phononic Crystals at Low frequencies Based on Porous SiC Multilayer

Fano resonance based defected 1D phononic crystal for highly sensitive gas sensing applications

Phononic Crystals and Thermal Effects

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