1995
DOI: 10.1121/1.412437
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The nonlinear pressure field of plane, rectangular apertures: Experimental and theoretical results

Abstract: The nonlinear sound pressure field from finite amplitude, plane, rectangular apertures, is considered. Experimental measurements on a 2.25-MHz transducer are presented for various source geometries and excitation levels. These results are compared with simulations based on the transformed beam equation, using a new algorithm which generalizes the Bergen code to treat the case of nonaxisymmetric on-source boundary conditions.

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Cited by 51 publications
(20 citation statements)
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“…25 The socalled Bergen code, a frequency domain solution of the KZK equation, has also been used to simulate the propagation of ultrasonic beams of finite amplitude from rectangular and square sources. 26,27 Recently a three-dimensional timedomain code has been shown to be in agreement with measurements made in water of the pressure field generated by a clinical scanner. 28 The main purpose of the present article is to describe a time-domain numerical code capable of simulating the propagation of ultrasonic beams of finite amplitude from a rectangular source.…”
Section: Introductionmentioning
confidence: 55%
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“…25 The socalled Bergen code, a frequency domain solution of the KZK equation, has also been used to simulate the propagation of ultrasonic beams of finite amplitude from rectangular and square sources. 26,27 Recently a three-dimensional timedomain code has been shown to be in agreement with measurements made in water of the pressure field generated by a clinical scanner. 28 The main purpose of the present article is to describe a time-domain numerical code capable of simulating the propagation of ultrasonic beams of finite amplitude from a rectangular source.…”
Section: Introductionmentioning
confidence: 55%
“…In this case the outer edge of the domain is approximated to appear as an infinite space. Examples include using the plane wave impedance condition, 35 application of a tapered spatial window, 26,36 or a perfectly matched layer which can be designed to absorb the sound before reflections occur. 37 Absorbing boundary layers allow the size of the numerical grid to be reduced but they add a level of complexity to the code.…”
Section: B Boundary Conditionsmentioning
confidence: 99%
“…Finally, it might be instructional to compare the execution times experienced during the course of this work with those reported in [4] where truncated Fourier-series approach (Bergen Code) was utilized. In [4], the use of a powerful Cray Y-MP4D/464 computer was necessary to predict the CW nonlinear field produced in water from the plane rectangular sources. Depending on the CW excitation level the Cray computer time needed ranged from 400 (7 minutes) to 12300 CPU seconds (205 minutes).…”
Section: Resultsmentioning
confidence: 99%
“…However, there are relatively few papers published [3][4][5][6][7][8], which consider nonlinear sound beams in attenuating media emitted from sources with the non-axisymmetric aperture. Also, they provide field modelling based on the continuous wave excitation.…”
Section: Introductionmentioning
confidence: 99%
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