Properties of defect modes in a finite periodic structure with branched open resonators

Antraoui, Ilyas; Khettabi, Ali

doi:10.1016/j.matpr.2020.04.012

Cited by 11 publications

(5 citation statements)

References 33 publications

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“…We used Bloch's theorem to compute the acoustic wave dispersion relation, which describes spatial periodicity by the following relation [3,24].…”

Section: System Design and Theoretical Methodsmentioning

confidence: 99%

“…LF filtering can be achieved by combining resonators, which leads to high sound attenuation. Therefore, several resonators of different sizes are used to provide large bands [2][3][4][5][6]. A study of sound transmission in periodic waveguides is carried out theoretically using Bloch's wave functions and verified experimentally.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, the study of structures containing geometric or material defects has also received particular attention due to their important applications [20][21][22]. The appearance of defect resonance modes explains the breakdown of the system's spatial periodicity [3].The impact of defects on the acoustic transmission spectrum has recently been studied by researchers using closed resonator systems and opened waveguides [3,23]. Antraoui et al [24] examined the characteristics of resonance modes in a structure consisting of a discontinuity of waveguides of different geometric dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Noise reduction through a waveguide structure consisting of expansion chambers with a geometrical defect

Antraoui,

El Malki,

Khettabi

2024

E3S Web Conf.

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Noise control helps to make working environments safer and keep operations in line with health and safety standards. Exhaust noise is the main component of noise pollution in urban environments. In this paper, we focus on noise control by improving acoustic attenuation performance using a one-dimensional waveguide structure composed of simple periodic expansion chambers with a geometric defect. This defect is located at the center of the periodic structure and results from a modification in the length of the central chamber of the system. The objective is to study the properties of acoustic transmission and transmission loss and to examine the effect of defects in a periodic acoustic structure. The system’s spatial periodicity enables us to design wide band gaps where sound waves cannot propagate. This characteristic is very important for reducing noise in our environment. The effect of the cross-sectional ratio on the band gap behavior was also examined in this work. In addition, we have shown that the presence of a defect in a regular structure leads to a perturbation of the structure’s spatial periodicity. This leads to the creation of defect modes or resonance modes in the band gaps. We also controlled the number and amplitude of defect peaks within the band gap by varying the length of the defect. The results of this work are of interest for various applications, such as the creation of wide acoustic bands, low-frequency noise reduction, and acoustic wave filtering.

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“…We used Bloch's theorem to compute the acoustic wave dispersion relation, which describes spatial periodicity by the following relation [3,24].…”

Section: System Design and Theoretical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Noise reduction through a waveguide structure consisting of expansion chambers with a geometrical defect

Antraoui,

El Malki,

Khettabi

2024

E3S Web Conf.

Self Cite

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“…These ducts and branches can be made of aluminium and nylon 33 . This model will neglect the effects of temperature gradients and viscosity by considering the sample is stationary "relatively static" at room temperature 34 . Firstly, all opened resonators will be closed.…”

Section: Materials and Mathematical Methodsmentioning

confidence: 99%

Periodic open and closed resonators as a biosensor using two computational methods

Zaky,

Al-Dossari,

Hendy

et al. 2024

Sci Rep

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The volatile particles and molecules in our dry exhaled breath can reveal enormous information about the health of any person, such as the person’s respiratory and metabolic functioning. Beyond the carbon dioxide level is an indicator of life, it provides important health-related data like people’s metabolic rate. This study considers periodic open and closed resonators for measuring carbon dioxide concentration in dry exhaled breath. Transfer matrix and green methods are used to simulate the interaction between acoustic waves and the proposed sensor. The band gaps using the green method coincide with the transmittance spectra by the transfer matrix. The suggested sensor recorded a sensitivity of $$5.3 Hz.{m}^{-1}.s$$ 5.3 H z . m - 1 . s , a figure of merit of 10,254 $${m}^{-1}.s$$ m - 1 . s , a detection limit of $$5\times {10}^{-6} m.{s}^{-1}$$ 5 × 10 - 6 m . s - 1 , and a quality factor of $$3\times {10}^{6}$$ 3 × 10 6 . Furthermore, the efficiency shows that the proposed design is appropriate as a diagnostic sensor for different diseases such as chronic obstructive pulmonary. Besides, cylindrical-adapted sensors are urgently needed in medicine, industry, and biology because they can simultaneously be used for fluid transport and detection.

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“…Dobrzynski et al investigated theoretically (using GFM) and experimentally the existence of photonic band gaps separated by passbands in CWGs structure in the frequency range up to 500MHz [8]. Other teams have studied the propagation of the photonic, acoustic, and electronic waves using the Green function and transfer matrix methods [9][10][11][12], and found the presence of defect modes in the photonic, acoustic, or electronic band gaps.…”

Section: Introductionmentioning

confidence: 99%

Comparative Study of Photonic Defective Comb-Like Structure by the Green Function and the Transfer Matrix Method

Touiss,

Machichi,

Errouas

et al. 2023

E3S Web of Conf.

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In this paper, we investigate the propagation of electromagnetic waves in periodic comblike waveguides structure made of dangling side branches (resonators) and finite waveguides. We introduce two defective resonators inserted in two different sites inside the perfect periodic system. This kind of system has been studied theoretically using Green’s function method (GFM), the main objective of this work is to make a comparative study between the results found in the literature and the results found by the Transfer Matrix Method (TMM) for the first time in such photonic defective comb-like system. Noted that the calculations made by the transfer matrix method (based on Maxwell’s equation and the continuity conditions) are simpler compared to the calculations when applying the Green function method. The results founding in this paper either at the level of the transmission and reflection rates are in agreement with the results found by the Green function method, which gives an idea of the effectiveness of this simple method and their agreement with the experience.

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Properties of defect modes in a finite periodic structure with branched open resonators

Cited by 11 publications

References 33 publications

Noise reduction through a waveguide structure consisting of expansion chambers with a geometrical defect

Noise reduction through a waveguide structure consisting of expansion chambers with a geometrical defect

Periodic open and closed resonators as a biosensor using two computational methods

Comparative Study of Photonic Defective Comb-Like Structure by the Green Function and the Transfer Matrix Method

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