Linear ultrasonic array design using cantor set fractal geometry

Research output: Contribution to conferencePoster

Abstract

Naturally occurring resonating systems utilize structures containing a range of length scales to produce a broad operating bandwidth. It has previously been reported that a piezoelectric composite transducer based on a fractal geometry, which thereby introduces components with varying length scales, results in a wider operational bandwidth and a higher sensitivity. In this paper, the work is now extended to an ultrasonic array device using a Cantor Set (CS) fractal geometry. The behavior of this fractal array is explored using both finite element (FE) modeling and experimentation, including comparison with a conventional 2-2 linear array. The FE simulated pulse-echo responses correlate well with the experimental data, which indicates that the CS fractal array elements possessed a wider-6 dB bandwidth (57.3 % against 49.4 0/0), and a higher sensitivity, (11.4 mV against 8.9 mV peak-to-peak voltage) compared with a conventional 2-2 design. In addition, an improved crosstalk reduction is achieved by the CS fractal array. Images of a wire-water phantom produced by the two arrays using the total focusing method (TFM) and full matrix capturing (FMC) data shows that the CS fractal array outperforms the conventional 2-2 array in terms of image resolution and signal strength. Finally, another advanced fractal geometry comprising orthogonal CS fractal geometries, known as the Cantor Tartan (CT) is investigated to further enhance the bandwidth performance of the array, where a -6 dB pulse-echo bandwidth of 68.1 % can be predicted using FE modeling.

Conference

Conference2018 International Workshop on Acoustic Transduction Materials and Devices
Abbreviated titleIWATMD 2018
CountryUnited States
CityState College
Period8/05/1810/05/18

Fingerprint

Fractals
Ultrasonics
Geometry
Bandwidth
Image resolution
Crosstalk
Transducers
Wire
Composite materials
Electric potential
Water

Keywords

  • fractal ultrasonic array
  • array characterization
  • wide bandwidth
  • fractal geometry

Cite this

Fang, H., Qiu, Z., Mulholland, A. J., O'Leary, R. L., & Gachagan, A. (2018). Linear ultrasonic array design using cantor set fractal geometry. Poster session presented at 2018 International Workshop on Acoustic Transduction Materials and Devices, State College, United States. https://doi.org/10.1109/ULTSYM.2018.8580016
Fang, H. ; Qiu, Z. ; Mulholland, A. J. ; O'Leary, R. L. ; Gachagan, A. / Linear ultrasonic array design using cantor set fractal geometry. Poster session presented at 2018 International Workshop on Acoustic Transduction Materials and Devices, State College, United States.4 p.
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title = "Linear ultrasonic array design using cantor set fractal geometry",
abstract = "Naturally occurring resonating systems utilize structures containing a range of length scales to produce a broad operating bandwidth. It has previously been reported that a piezoelectric composite transducer based on a fractal geometry, which thereby introduces components with varying length scales, results in a wider operational bandwidth and a higher sensitivity. In this paper, the work is now extended to an ultrasonic array device using a Cantor Set (CS) fractal geometry. The behavior of this fractal array is explored using both finite element (FE) modeling and experimentation, including comparison with a conventional 2-2 linear array. The FE simulated pulse-echo responses correlate well with the experimental data, which indicates that the CS fractal array elements possessed a wider-6 dB bandwidth (57.3 {\%} against 49.4 0/0), and a higher sensitivity, (11.4 mV against 8.9 mV peak-to-peak voltage) compared with a conventional 2-2 design. In addition, an improved crosstalk reduction is achieved by the CS fractal array. Images of a wire-water phantom produced by the two arrays using the total focusing method (TFM) and full matrix capturing (FMC) data shows that the CS fractal array outperforms the conventional 2-2 array in terms of image resolution and signal strength. Finally, another advanced fractal geometry comprising orthogonal CS fractal geometries, known as the Cantor Tartan (CT) is investigated to further enhance the bandwidth performance of the array, where a -6 dB pulse-echo bandwidth of 68.1 {\%} can be predicted using FE modeling.",
keywords = "fractal ultrasonic array, array characterization, wide bandwidth, fractal geometry",
author = "H. Fang and Z. Qiu and Mulholland, {A. J.} and O'Leary, {R. L.} and A. Gachagan",
note = "{\circledC} 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; 2018 International Workshop on Acoustic Transduction Materials and Devices, IWATMD 2018 ; Conference date: 08-05-2018 Through 10-05-2018",
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doi = "10.1109/ULTSYM.2018.8580016",
language = "English",

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Fang, H, Qiu, Z, Mulholland, AJ, O'Leary, RL & Gachagan, A 2018, 'Linear ultrasonic array design using cantor set fractal geometry' 2018 International Workshop on Acoustic Transduction Materials and Devices, State College, United States, 8/05/18 - 10/05/18, . https://doi.org/10.1109/ULTSYM.2018.8580016

Linear ultrasonic array design using cantor set fractal geometry. / Fang, H.; Qiu, Z.; Mulholland, A. J.; O'Leary, R. L.; Gachagan, A.

2018. Poster session presented at 2018 International Workshop on Acoustic Transduction Materials and Devices, State College, United States.

Research output: Contribution to conferencePoster

TY - CONF

T1 - Linear ultrasonic array design using cantor set fractal geometry

AU - Fang, H.

AU - Qiu, Z.

AU - Mulholland, A. J.

AU - O'Leary, R. L.

AU - Gachagan, A.

N1 - © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

PY - 2018/5/8

Y1 - 2018/5/8

N2 - Naturally occurring resonating systems utilize structures containing a range of length scales to produce a broad operating bandwidth. It has previously been reported that a piezoelectric composite transducer based on a fractal geometry, which thereby introduces components with varying length scales, results in a wider operational bandwidth and a higher sensitivity. In this paper, the work is now extended to an ultrasonic array device using a Cantor Set (CS) fractal geometry. The behavior of this fractal array is explored using both finite element (FE) modeling and experimentation, including comparison with a conventional 2-2 linear array. The FE simulated pulse-echo responses correlate well with the experimental data, which indicates that the CS fractal array elements possessed a wider-6 dB bandwidth (57.3 % against 49.4 0/0), and a higher sensitivity, (11.4 mV against 8.9 mV peak-to-peak voltage) compared with a conventional 2-2 design. In addition, an improved crosstalk reduction is achieved by the CS fractal array. Images of a wire-water phantom produced by the two arrays using the total focusing method (TFM) and full matrix capturing (FMC) data shows that the CS fractal array outperforms the conventional 2-2 array in terms of image resolution and signal strength. Finally, another advanced fractal geometry comprising orthogonal CS fractal geometries, known as the Cantor Tartan (CT) is investigated to further enhance the bandwidth performance of the array, where a -6 dB pulse-echo bandwidth of 68.1 % can be predicted using FE modeling.

AB - Naturally occurring resonating systems utilize structures containing a range of length scales to produce a broad operating bandwidth. It has previously been reported that a piezoelectric composite transducer based on a fractal geometry, which thereby introduces components with varying length scales, results in a wider operational bandwidth and a higher sensitivity. In this paper, the work is now extended to an ultrasonic array device using a Cantor Set (CS) fractal geometry. The behavior of this fractal array is explored using both finite element (FE) modeling and experimentation, including comparison with a conventional 2-2 linear array. The FE simulated pulse-echo responses correlate well with the experimental data, which indicates that the CS fractal array elements possessed a wider-6 dB bandwidth (57.3 % against 49.4 0/0), and a higher sensitivity, (11.4 mV against 8.9 mV peak-to-peak voltage) compared with a conventional 2-2 design. In addition, an improved crosstalk reduction is achieved by the CS fractal array. Images of a wire-water phantom produced by the two arrays using the total focusing method (TFM) and full matrix capturing (FMC) data shows that the CS fractal array outperforms the conventional 2-2 array in terms of image resolution and signal strength. Finally, another advanced fractal geometry comprising orthogonal CS fractal geometries, known as the Cantor Tartan (CT) is investigated to further enhance the bandwidth performance of the array, where a -6 dB pulse-echo bandwidth of 68.1 % can be predicted using FE modeling.

KW - fractal ultrasonic array

KW - array characterization

KW - wide bandwidth

KW - fractal geometry

U2 - 10.1109/ULTSYM.2018.8580016

DO - 10.1109/ULTSYM.2018.8580016

M3 - Poster

ER -

Fang H, Qiu Z, Mulholland AJ, O'Leary RL, Gachagan A. Linear ultrasonic array design using cantor set fractal geometry. 2018. Poster session presented at 2018 International Workshop on Acoustic Transduction Materials and Devices, State College, United States. https://doi.org/10.1109/ULTSYM.2018.8580016