Improving the operational bandwidth of a 1–3 piezoelectric composite transducer using Sierpinski Gasket fractal geometry

Fang, Haoyu; Qiu, Zhen; O'Leary, Richard; Gachagan, Anthony; Mulholland, Anthony J.

doi:10.1109/ultsym.2016.7728694

Cited by 4 publications

(5 citation statements)

References 19 publications

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“…Given the simplified nature of the model, it could be beneficial to investigate this structure using finite element analysis akin to that done on the Sierpinski gasket pre-fractal in [11,24]. Utilising this method would allow for the reintroduction of longitudinal and shear propagating waves into the model.…”

Section: Discussionmentioning

confidence: 99%

“…This could be resolved in using a fully three-dimensional finite element analysis on the wave propagation. However, while the finite element models proposed [11,24] for the Sierpinski gasket will be more accurate, they are computationally expensive and the finite differences model proposed previously for the same structure [10] produced similar results without the computational overheads. Hence, a similar approach was taken here.…”

Section: Wave Propagation In the Sierpinski Tetrixmentioning

confidence: 99%

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A Mathematical Model of a Novel 3D Fractal-Inspired Piezoelectric Ultrasonic Transducer

Walker

Roach

2016

Sensors

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Piezoelectric ultrasonic transducers have the potential to operate as both a sensor and as an actuator of ultrasonic waves. Currently, manufactured transducers operate effectively over narrow bandwidths as a result of their regular structures which incorporate a single length scale. To increase the operational bandwidth of these devices, consideration has been given in the literature to the implementation of designs which contain a range of length scales. In this paper, a mathematical model of a novel Sierpinski tetrix fractal-inspired transducer for sensor applications is presented. To accompany the growing body of research based on fractal-inspired transducers, this paper offers the first sensor design based on a three-dimensional fractal. The three-dimensional model reduces to an effective one-dimensional model by allowing for a number of assumptions of the propagating wave in the fractal lattice. The reception sensitivity of the sensor is investigated. Comparisons of reception force response (RFR) are performed between this novel design along with a previously investigated Sierpinski gasket-inspired device and standard Euclidean design. The results indicate that the proposed device surpasses traditional design sensors.

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Section: Discussionmentioning

confidence: 99%

Section: Wave Propagation In the Sierpinski Tetrixmentioning

confidence: 99%

A Mathematical Model of a Novel 3D Fractal-Inspired Piezoelectric Ultrasonic Transducer

Walker

Roach

2016

Sensors

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“…H IGHER resolution is the one of the most important requirements in nondestructive evaluation (NDE), biomedical imaging, and underwater sonar [1]. A broad bandwidth ultrasonic probe can achieve this requirement because the pulsewidth in the time domain is shorter when the bandwidth is wider.…”

Section: Introductionmentioning

confidence: 99%

“…A broad bandwidth ultrasonic probe can achieve this requirement because the pulsewidth in the time domain is shorter when the bandwidth is wider. Piezoelectric composite transducers can have wide bandwidths by optimizing their electrical and mechanical properties [1], [2]. However, the composite transducer has much better performance in water compared to air because the acoustic impedance of the composite piezoelectric material is closer to that of water.…”

Section: Introductionmentioning

confidence: 99%

“Pipe Organ” Inspired Air-Coupled Ultrasonic Transducers With Broader Bandwidth

Zhu

Tiller

Walker

et al. 2018

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Piezoelectric micromachined ultrasonic transducers (PMUTs) are used to receive and transmit ultrasonic signals in industrial and biomedical applications. This type of transducer can be miniaturized and integrated with electronic systems since each element is small and the power requirements are low. The bandwidth of the PMUT may be narrow in some conventional designs; however, it is possible to apply modified structures to enhance this. This paper presents a methodology for improving the bandwidth of air-coupled PMUTs without sensitivity loss by connecting a number of resonating pipes of various lengths to a cavity. A prototype piezoelectric diaphragm ultrasonic transducer is presented to prove the theory. This novel device was fabricated by additive manufacturing (3-D printing), and consists of a polyvinylidene fluoride thin film over a stereolithography designed backplate. The backplate design is inspired by a pipe organ musical instrument, where the resonant frequency (pitch) of each pipe is mainly determined by its length. The -6-dB bandwidth of the "pipe organ" air-coupled transducer is 55.7% and 58.5% in transmitting and receiving modes, respectively, which is ~5 times wider than a custom-built standard device.

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“…In the authors' previous work, a single element piezoelectric composite transducer was developed using the Sierpinski Gasket (SG) fractal geometry [10]. This single element SG fractal composite transducer exhibited a larger bandwidth in both transmission and reception mode compared to an equivalent conventional parallelepiped 1-3 composite design.…”

Section: Introductionmentioning

confidence: 99%

Linear ultrasonic array incorporating a Cantor Set fractal element configuration

Fang

Qiu

Mulholland

et al. 2017

2017 IEEE International Ultrasonics Symposium (IUS)

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Abstract-The resonance frequency of an active element in a piezoelectric ultrasonic transducer is dependent on its length scale. Inspired by natural occurring auditory systems, incorporation of elements with varying length scales in the piezoelectric transducer design can result in a wider operational bandwidth. In this paper, a mathematical algorithm was developed first to define the feature of a fractal geometry called the Cantor Set (CS), then a series of parameter sweep simulations are performed to design a CS fractal array transducer and a conventional array transducer and optimize their performance. The behaviors of these two array transducers were explored theoretically, using finite element modeling and experimentally using the scanning laser vibrometry. The FE simulation results and experimental results correlate well with each other, which indicates an approximate 30% operating bandwidth enhancement and a 5 dB side lobe reduction can be achieved by the CS fractal array compared to the conventional linear array design.

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Improving the operational bandwidth of a 1–3 piezoelectric composite transducer using Sierpinski Gasket fractal geometry

Cited by 4 publications

References 19 publications

A Mathematical Model of a Novel 3D Fractal-Inspired Piezoelectric Ultrasonic Transducer

A Mathematical Model of a Novel 3D Fractal-Inspired Piezoelectric Ultrasonic Transducer

“Pipe Organ” Inspired Air-Coupled Ultrasonic Transducers With Broader Bandwidth

Linear ultrasonic array incorporating a Cantor Set fractal element configuration

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