Linear ultrasonic array incorporating a Cantor Set fractal element configuration

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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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.
Original languageEnglish
Title of host publicationIEEE International Ultrasonics Symposium (IUS), 2017
Place of PublicationPiscataway, N.J.
PublisherIEEE
Number of pages4
ISBN (Print)9781538633847
DOIs
Publication statusPublished - 2 Nov 2017

Fingerprint

Fractals
Transducers
Piezoelectric transducers
Ultrasonics
Bandwidth
Ultrasonic transducers
Scanning
Geometry
Lasers

Keywords

  • fractals
  • bandwidth
  • acoutics
  • finite element analysis
  • piezoelectric transducers

Cite this

Fang, H. ; Qiu, Z. ; O'Leary, R. L. ; Gachagan, A. ; Mulholland, A. J. / Linear ultrasonic array incorporating a Cantor Set fractal element configuration. IEEE International Ultrasonics Symposium (IUS), 2017. Piscataway, N.J. : IEEE, 2017.
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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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Linear ultrasonic array incorporating a Cantor Set fractal element configuration. / Fang, H.; Qiu, Z.; O'Leary, R. L.; Gachagan, A.; Mulholland, A. J.

IEEE International Ultrasonics Symposium (IUS), 2017. Piscataway, N.J. : IEEE, 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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