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Sensors 2016, 16(11), 1873;

A Fast Method to Calculate the Spatial Impulse Response for 1-D Linear Ultrasonic Phased Array Transducers

Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
Yangtze Delta Region Institute of Tsinghua University, Jiaxing 314006, China
Author to whom correspondence should be addressed.
Academic Editors: Dipen Sinha and Cristian Pantea
Received: 1 July 2016 / Revised: 28 October 2016 / Accepted: 2 November 2016 / Published: 8 November 2016
(This article belongs to the Special Issue Ultrasonic Sensors)
Full-Text   |   PDF [2537 KB, uploaded 8 November 2016]   |  


A method is developed to accurately determine the spatial impulse response at the specifically discretized observation points in the radiated field of 1-D linear ultrasonic phased array transducers with great efficiency. In contrast, the previously adopted solutions only optimize the calculation procedure for a single rectangular transducer and required approximation considerations or nonlinear calculation. In this research, an algorithm that follows an alternative approach to expedite the calculation of the spatial impulse response of a rectangular linear array is presented. The key assumption for this algorithm is that the transducer apertures are identical and linearly distributed on an infinite rigid plane baffled with the same pitch. Two points in the observation field, which have the same position relative to two transducer apertures, share the same spatial impulse response that contributed from corresponding transducer, respectively. The observation field is discretized specifically to meet the relationship of equality. The analytical expressions of the proposed algorithm, based on the specific selection of the observation points, are derived to remove redundant calculations. In order to measure the proposed methodology, the simulation results obtained from the proposed method and the classical summation method are compared. The outcomes demonstrate that the proposed strategy can speed up the calculation procedure since it accelerates the speed-up ratio which relies upon the number of discrete points and the number of the array transducers. This development will be valuable in the development of advanced and faster linear ultrasonic phased array systems. View Full-Text
Keywords: ultrasonic phased array; rectangular aperture; spatial impulse response ultrasonic phased array; rectangular aperture; spatial impulse response

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Zou, C.; Sun, Z.; Cai, D.; Muhammad, S.; Zhang, W.; Chen, Q. A Fast Method to Calculate the Spatial Impulse Response for 1-D Linear Ultrasonic Phased Array Transducers. Sensors 2016, 16, 1873.

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