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

Walker, Alan; Roach, Paul A.

doi:10.3390/s16122170

Cited by 4 publications

(4 citation statements)

References 29 publications

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“…9,[12][13][14]30,31 A renormalization adaptation was used to investigate the potential performance of a fractal-like transducer. The fractal used as inspiration for the transducer design was the Sierpinski carpet.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

The Effectiveness of a Sierpinski Carpet-Inspired Transducer

Walker

Roach

2017

Fractals

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Piezoelectric ultrasonic transducers have the ability to act both as a receiver and a transmitter of ultrasound. Standard designs have a regular structure and therefore operate effectively over narrow bandwidths due to their single length scale. Naturally occurring transducers benefit from a wide range of length scales giving rise to increased bandwidths. It is therefore of interest to investigate structures which incorporate a range of length scales, such as fractals. This paper applies an adaptation of the Green function renormalization method to analyze the propagation of an ultrasonic wave in a series of pre-fractal structures. The structure being investigated here is the Sierpinski carpet. Novel expressions for the non-dimensionalized electrical impedance and the transmission and reception sensitivities as a function of the operating frequency are presented. Comparisons of metrics between three new designs alongside the standard design (Euclidean structure) and the previously investigated Sierpinski gasket device are performed. § Corresponding author. The results indicate a significant improvement in the reception sensitivity of the device, and improved bandwidth in both the receiving and transmitting responses. 1750050-1

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Section: Conclusion and Discussionmentioning

confidence: 99%

The Effectiveness of a Sierpinski Carpet-Inspired Transducer

Walker

Roach

2017

Fractals

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“…Therefore, due to its simplicity of calculations and derivation of wave transport, an analytical model can be used to design a PUT. Because the regular geometry of a PUT limits its working bandwidth, Canning et al [ 16 ] proposed a new three-dimensional (3D) fractal mathematical model for a PUT by studying the lattice structure of Sierpinski TETRIX, as shown in Figure 2 A. The working bandwidth and amplitude of the PUT designed by the proposed model could be effectively improved.…”

Section: Traditional Optimization Design Methods For a Putmentioning

confidence: 99%

“… ( A ) 3D fractal structure for a piezoelectric ultrasonic transducer (reproduced from [ 16 ]); ( B ) simulation diagram of a racing array transducer applied to ultrasonic stimulation and the CAS pattern in ultrasonic field (reproduced from [ 17 ]); ( C ) schematic diagram of a piezoelectric tube (reproduced from [ 18 ]); ( D ) high-frequency piezoelectric ultrasonic transducer structure diagram and performance test diagram (reproduced from [ 19 ]); ( E ) porcine corneal and rabbit carotid artery phase velocity fitted lines, high-frequency ultrasonic microelastic imaging system (reproduced from [ 21 ]). …”

Section: Figurementioning

confidence: 99%

Recent Development and Perspectives of Optimization Design Methods for Piezoelectric Ultrasonic Transducers

et al. 2021

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A piezoelectric ultrasonic transducer (PUT) is widely used in nondestructive testing, medical imaging, and particle manipulation, etc., and the performance of the PUT determines its functional performance and effectiveness in these applications. The optimization design method of a PUT is very important for the fabrication of a high-performance PUT. In this paper, traditional and efficient optimization design methods for a PUT are presented. The traditional optimization design methods are mainly based on an analytical model, an equivalent circuit model, or a finite element model and the design parameters are adjusted by a trial-and-error method, which relies on the experience of experts and has a relatively low efficiency. Recently, by combining intelligent optimization algorithms, efficient optimization design methods for a PUT have been developed based on a traditional model or a data-driven model, which can effectively improve the design efficiency of a PUT and reduce its development cycle and cost. The advantages and disadvantages of the presented methods are compared and discussed. Finally, the optimization design methods for PUT are concluded, and their future perspectives are discussed.

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“…What’s more, an accurate mathematical model for the DFUT is preferably required to explore the two operating frequencies and guide for the structure design. Although massive theoretical models have been reported for pure PMUTs or CMUTs, most of previous researches are focused on circular ultrasound transducers and to our knowledge none of the existing models contain both the piezoelectric and capacitive ultrasound operations [ 19 , 20 , 21 , 22 , 23 ]. Cour et al modelled CMUTs with square anisotropic plates using the full anisotropic equation and obtained the deflection expression of square plates with less than 0.1% deviation from the simulations in the central deflection [ 24 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical Study and Optimisation of a Novel Single-Element Dual-Frequency Ultrasound Transducer

Sun

Jiang

Liu

2018

Sensors

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A dual-frequency ultrasound transducer (DFUT) is usually preferred for its numerous advantageous applications, especially in biomedical imaging and sensing. However, most of DFUTs are based on the combination of fundamental and harmonic operations, or integration of multiple different single-frequency ultrasound transducers, hindering perfect beam alignment and acoustic impedance matching. A novel single-element DFUT has been proposed in this paper. A small piezoelectric membrane is used as the high-frequency ultrasound transducer, which is stacked on a large non-piezoelectric elastic membrane with a groove used as the low-frequency capacitive ultrasound transducer. Such a capacitive-piezoelectric hybrid structure is theoretically analysed in details, based on the electrostatic attraction force and converse piezoelectric effect. Both the low and high resonance frequencies are independently derived, with a maximum deviation of less than 4% from the finite element simulations. Besides, a lumped-parameter equivalent circuit model of combining both the capacitive and piezoelectric ultrasound transducers was also described. Based on our dual-frequency structure design, a high-to-low frequency ratio of about 2 to more than 20 could be achieved, with easy and independent controllability of two frequencies, and the high-frequency operation shows at least an order-of-magnitude displacement sensitivity improvement compared with the conventional harmonic operations.

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

Cited by 4 publications

References 29 publications

The Effectiveness of a Sierpinski Carpet-Inspired Transducer

The Effectiveness of a Sierpinski Carpet-Inspired Transducer

Recent Development and Perspectives of Optimization Design Methods for Piezoelectric Ultrasonic Transducers

Numerical Study and Optimisation of a Novel Single-Element Dual-Frequency Ultrasound Transducer

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