Acoustic tranmission through perforated plates with fractal subwavelength apertures

Gomez-Lozano, Vicente; Rubio, Constanza; Candelas, Pilar; Belmar, Francisco

doi:10.1016/j.ssc.2013.04.012

Cited by 3 publications

(4 citation statements)

References 15 publications

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“…The minimum is produced by a coherent interference. The Wood anomaly for normal incidence is given by 22 22 mn c p p , where  is the wavelength and n  N, that the resonant transmission peaks are directly related to the plate thickness, therefore when the plate thickness increases, more transmission maxima will appear and they will move toward lower frequencies. …”

Section: Resultsmentioning

confidence: 99%

“…The role of the geometrical parameters of the hole array is important in the ultrasonic transmission through perforated plates and has been subject of several studies [18][19][20][21][22]. The purpose of this paper is to describe and summarize theoretically the set of geometrical parameters that affect the ultrasonic transmission through subwavelength holes arrays.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Role of the Geometrical Parameters in the Ultrasonic Transmission Through Plates with Subwavelength Holes Arrays

Rubio¹,

Lozano²,

Valiente³

et al. 2014

Acta Acustica united with Acustica

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This paper presents an overview of the recents studies on the ultrasonic transmission through subwavelength holes arrays. The role of the geometrical parameters of the perforated plates in the transmission features has been reported by using a theoretical model under the rigid-solid assumption. It is shown that the transmission spectrum can be tailored by varying the geometrical parameters.PACS no. 43.35. +d, 42.79. Dj

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Role of the Geometrical Parameters in the Ultrasonic Transmission Through Plates with Subwavelength Holes Arrays

Rubio¹,

Lozano²,

Valiente³

et al. 2014

Acta Acustica united with Acustica

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“…These structures are capable of producing sharp attenuation by means of destructive interference, as well as focalization through constructive interference. Gomez-Lozano et al [9] studied the transmission response in perforated plates with subwavelength holes. The transmission spectrums showed that every iteration with the Sierpinski carpet has the characteristic peaks and dips associated with the lattice constant of each matrix pattern.…”

Section: Introductionmentioning

confidence: 99%

Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses

Castiñeira-Ibáñez¹,

Tarrazó-Serrano²,

Fuster³

et al. 2017

Fractal Analysis - Applications in Health Sciences and Social Sciences

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The term fractal was coined in 1975 by Benoit Mandelbrot. Since then, fractal structures have been widely used by the international scientific community. Its range of applications includes multiple areas, such as optics, physics, cryptography, medicine, economics, and so on. The application of fractal structures to modulate light beams in the field of optics has been extensively studied, and it has been shown that in some cases these new fractal lenses improve the response of traditional lenses. Fractal lenses are able to provide beamforming capabilities, and allow the optimization of the optical beam according to the specific requirements. In some applications, it may be necessary to improve the focus in a certain area, while in others it may be critical to obtain a sharp attenuation by means of destructive interference. It may even be required a beam profile with multiple focus and a certain control over them. This work investigates the application of fractal structures based on Polyadic Cantor sets as ultrasonic lenses, analyzing how the relation between the different design parameters and the performance of the lens. It is shown that the working frequency becomes a precise control mechanism that can modify dynamically the focus position of the lens.

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“…Castiñeira-Ibañez et al [7,8] presented an acoustic barrier for noise control formed by rigid cylinders arranged in fractal Sierpinski triangle geometry. Gomez-Lozano et al [9] studied the acoustic transmission response of perforated plates with a fractal subwavelength holes array. The ultrasound transmission spectra showed that each iterative Sierpinski Carpet has the characteristic peaks and dips of the lattice constant of each array that formed the pattern.…”

Section: Introductionmentioning

confidence: 99%

An Ultrasonic Lens Design Based on Prefractal Structures

et al. 2016

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The improvement in focusing capabilities of a set of annular scatterers arranged in a fractal geometry is theoretically quantified in this work by means of the finite element method (FEM). Two different arrangements of rigid rings in water are used in the analysis. Thus, both a Fresnel ultrasonic lens and an arrangement of rigid rings based on Cantor prefractals are analyzed. Results show that the focusing capacity of the modified fractal lens is better than the Fresnel lens. This new lens is believed to have potential applications for ultrasonic imaging and medical ultrasound fields.

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Acoustic tranmission through perforated plates with fractal subwavelength apertures

Cited by 3 publications

References 15 publications

On the Role of the Geometrical Parameters in the Ultrasonic Transmission Through Plates with Subwavelength Holes Arrays

On the Role of the Geometrical Parameters in the Ultrasonic Transmission Through Plates with Subwavelength Holes Arrays

Polyadic Cantor Fractals: Characterization, Generation, and Application as Ultrasonic Lenses

An Ultrasonic Lens Design Based on Prefractal Structures

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