A new analytic expression for fast calculation of the transient near and far field of a rectangular baffled piston.

Essential to (cardiac) 3D ultrasound are 2D matrix array transducer technology and the associated (two-stage) beam forming. Given the large number of degrees of freedom and the complexity of this problem, simulation tools play an important role. Hereto, the impulse response (IR) method is commonly used. Unfortunately, given the large element count of 2D array transducers, simulation times become significant jeopardizing the efficacy of the design process. The aim of this study was therefore to derive a new analytical expression to more efficiently calculate the IR in order to speed up the calculation process. To compare accuracy and computation time, the reference and the proposed method were implemented in MATLAB and contrasted. For all points of observation tested, the IR with both methods was identical. The mean calculation time however reduced in average by a factor of 3.93±0.03 times. The proposed IR method therefore speeds up the calculation time of the IR of an individual transducer element while remaining perfectly accurate. This new expression will be particularly relevant for 2D matrix transducer design where computation times remain currently a bottle neck in the design process.

[1]  Gerald R. Harris,et al.  Review of transient field theory for a baffled planar piston , 1981 .

[2]  José Luis San Emeterio,et al.  Diffraction impulse response of rectangular transducers , 1992 .

[3]  Mauri Luukkala,et al.  The impulse response and pressure nearfield of a curved ultrasonic radiator , 1976 .

[4]  Paul Suetens,et al.  The calculation of the transient near and far field of a baffled piston using low sampling frequencies , 1997 .

[5]  J. C. Lockwood,et al.  High‐speed method for computing the exact solution for the pressure variations in the nearfield of a baffled piston , 1973 .

[6]  S.W. Smith,et al.  High-speed ultrasound volumetric imaging system. I. Transducer design and beam steering , 1991, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  G. Tupholme.  Generation of acoustic pulses by baffled plane pistons , 1969 .

[8]  P. Stepanishen.  Transient Radiation from Pistons in an Infinite Planar Baffle , 1970 .

[9]  M Arditi,et al.  Transient fields of concave annular arrays. , 1981, Ultrasonic imaging.

[10]  Marc D Weinshenker,et al.  Explososcan: a parallel processing technique for high speed ultrasound imaging with linear phased arrays. , 1984 .

[11]  Jørgen Arendt Jensen,et al.  ̀Spatial impulse response of a rectangular double curved transducer. , 2012, The Journal of the Acoustical Society of America.

[12]  J. Jensen,et al.  Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Jørgen Arendt Jensen,et al.  Ultrasound fields from triangular apertures , 1996 .

[14]  Henryk Lasota,et al.  Acoustic diffraction analysis by the impulse response method: A line impulse response approach , 1984 .

[15]  Massimo Pappalardo,et al.  A new approach to the derivation of the impulse response of a rectangular piston , 1985 .

[16]  Johan M. Thijssen,et al.  The impulse response of a focused source with an arbitrary axisymmetric surface velocity distribution , 1984 .