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Numerical study of a phased array-based ultrasonic polar scan to determine plane-wave reflection coefficients of plates

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Abstract
Numerical finite-element (FE) simulations and postprocessing analysis methods are presented for ultrasonic polar scan (UPS) measurements involving a circular phased array (C-PA) to determine the plane-wave reflection coefficient of plates. Apodization weights for the C-PA elements are determined to assure the generation of a quasi-plane wave upon excitation at the plate surface and to mitigate bounded beam effects on the assessed reflection coefficient. In addition, postprocessing of the reflection signals is performed via the synthetic plane-wave technique to further filter out any bounded beam effects. Reflection coefficients are presented for three cases namely, an aluminum, a unidirectional carbon epoxy, and a cross-ply carbon epoxy plate. For all three cases, comparison with the analytical plane-wave theory shows excellent agreement with the reflection coefficients obtained by the C-PA and the additional postprocessing steps for both the pulsed and harmonic signals. It is also shown that the agreement becomes considerably worse if the nonspecular reflection field is disregarded in the postprocessing treatment, thus enforcing the need to capture the full reflected field via the PA whenever plane-wave reflection coefficients are needed.
Keywords
Acoustics and Ultrasonics, Instrumentation, Electrical and Electronic Engineering, Acoustics, Finite element analysis, Phased arrays, Computational modeling, Uninterruptible power systems, Transducers, Frequency control, Composite materials, finite-element (FE) analysis, nondestructive testing, phased array (PA), ultrasonic polar scan (UPS), PROPAGATION, MATRIX

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MLA
Daemen, Jannes, et al. “Numerical Study of a Phased Array-Based Ultrasonic Polar Scan to Determine Plane-Wave Reflection Coefficients of Plates.” IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, vol. 66, no. 12, 2019, pp. 1874–86.
APA
Daemen, J., Martens, A., Kersemans, M., Verboven, E., Delrue, S., Van Paepegem, W., & Van Den Abeele, K. (2019). Numerical study of a phased array-based ultrasonic polar scan to determine plane-wave reflection coefficients of plates. IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 66(12), 1874–1886.
Chicago author-date
Daemen, Jannes, Arvid Martens, Mathias Kersemans, Erik Verboven, Steven Delrue, Wim Van Paepegem, and Koen Van Den Abeele. 2019. “Numerical Study of a Phased Array-Based Ultrasonic Polar Scan to Determine Plane-Wave Reflection Coefficients of Plates.” IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL 66 (12): 1874–86.
Chicago author-date (all authors)
Daemen, Jannes, Arvid Martens, Mathias Kersemans, Erik Verboven, Steven Delrue, Wim Van Paepegem, and Koen Van Den Abeele. 2019. “Numerical Study of a Phased Array-Based Ultrasonic Polar Scan to Determine Plane-Wave Reflection Coefficients of Plates.” IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL 66 (12): 1874–1886.
Vancouver
1.
Daemen J, Martens A, Kersemans M, Verboven E, Delrue S, Van Paepegem W, et al. Numerical study of a phased array-based ultrasonic polar scan to determine plane-wave reflection coefficients of plates. IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL. 2019;66(12):1874–86.
IEEE
[1]
J. Daemen et al., “Numerical study of a phased array-based ultrasonic polar scan to determine plane-wave reflection coefficients of plates,” IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, vol. 66, no. 12, pp. 1874–1886, 2019.
@article{8624192,
  abstract     = {Numerical finite-element (FE) simulations and postprocessing analysis methods are presented for ultrasonic polar scan (UPS) measurements involving a circular phased array (C-PA) to determine the plane-wave reflection coefficient of plates. Apodization weights for the C-PA elements are determined to assure the generation of a quasi-plane wave upon excitation at the plate surface and to mitigate bounded beam effects on the assessed reflection coefficient. In addition, postprocessing of the reflection signals is performed via the synthetic plane-wave technique to further filter out any bounded beam effects. Reflection coefficients are presented for three cases namely, an aluminum, a unidirectional carbon epoxy, and a cross-ply carbon epoxy plate. For all three cases, comparison with the analytical plane-wave theory shows excellent agreement with the reflection coefficients obtained by the C-PA and the additional postprocessing steps for both the pulsed and harmonic signals. It is also shown that the agreement becomes considerably worse if the nonspecular reflection field is disregarded in the postprocessing treatment, thus enforcing the need to capture the full reflected field via the PA whenever plane-wave reflection coefficients are needed.},
  author       = {Daemen, Jannes and Martens, Arvid and Kersemans, Mathias and Verboven, Erik and Delrue, Steven and Van Paepegem, Wim and Van Den Abeele, Koen},
  issn         = {0885-3010},
  journal      = {IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL},
  keywords     = {Acoustics and Ultrasonics,Instrumentation,Electrical and Electronic Engineering,Acoustics,Finite element analysis,Phased arrays,Computational modeling,Uninterruptible power systems,Transducers,Frequency control,Composite materials,finite-element (FE) analysis,nondestructive testing,phased array (PA),ultrasonic polar scan (UPS),PROPAGATION,MATRIX},
  language     = {eng},
  number       = {12},
  pages        = {1874--1886},
  title        = {Numerical study of a phased array-based ultrasonic polar scan to determine plane-wave reflection coefficients of plates},
  url          = {http://dx.doi.org/10.1109/tuffc.2019.2931800},
  volume       = {66},
  year         = {2019},
}

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