Derivation of the impulse response of ultrasonic transducers by experimental system identification

Gehrke, Tobias; Cheikh-Rouhou, F.; Overhoff, Heinrich Martin

doi:10.1109/ultsym.2005.1602866

Cited by 7 publications

(2 citation statements)

References 13 publications

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“…In practice, most Field II simulations use rectangular subelements because longer computation times are often observed with triangles for a given numerical error. Despite the inevitable stair-step approximation that occurs when rectangles approximate circular or curved objects, Field II routinely calculates pressure fields and impulse responses for circular transducers using rectangular subelements [33, 34, 35, 36]. To facilitate these calculations for circular transducers, Field II provides the ‘xdc_piston’ routine [37].…”

Section: Pressure Field Computationsmentioning

confidence: 99%

“…Despite the inevitable stair-step approximation that occurs when rectangles approximate circular or curved objects, Field II routinely calculates pressure fields and impulse responses for circular transducers using rectangular subelements. [33][34][35][36] To facilitate these calculations for circular transducers, Field II provides the "xdc_piston" routine. 37 For sufficiently small rectangular subelements and for a sufficiently high temporal sampling rate, this approach is applicable to nearfield pressure calculations.…”

Section: Field IImentioning

confidence: 99%

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Rapid Transient Pressure Field Computations in the Nearfield of Circular Transducers Using Frequency-Domain Time-Space Decomposition

et al. 2012

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The fast nearfield method, when combined with time-space decomposition, is a rapid and accurate approach for calculating transient nearfield pressures generated by ultrasound transducers. However, the standard time-space decomposition approach is only applicable to certain analytical representations of the temporal transducer surface velocity that, when applied to the fast nearfield method, are expressed as a finite sum of products of separate temporal and spatial terms. To extend time-space decomposition such that accelerated transient field simulations are enabled in the nearfield for an arbitrary transducer surface velocity, a new transient simulation method, frequency domain time-space decomposition (FDTSD), is derived. With this method, the temporal transducer surface velocity is transformed into the frequency domain, and then each complex-valued term is processed separately. Further improvements are achieved by spectral clipping, which reduces the number of terms and the computation time. Trade-offs between speed and accuracy are established for FDTSD calculations, and pressure fields obtained with the FDTSD method for a circular transducer are compared to those obtained with Field II and the impulse response method. The FDTSD approach, when combined with the fast nearfield method and spectral clipping, consistently achieves smaller errors in less time and requires less memory than Field II or the impulse response method.

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