2016
DOI: 10.1007/s12206-016-0118-5
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A novel method for extracting acoustic nonlinearity parameters with diffraction corrections

Abstract: A new method for determining the acoustic nonlinearity parameter using a nonlinear data fitting method is proposed. Based on the quasilinear theory of Westervelt's equation, the fundamental and second harmonic beam fields are expressed as a multi-Gaussian beam model that separates the attenuation and diffraction correction terms from the propagating plane waves. A nonlinear least squares curvefitting method is developed to extract the nonlinearity parameter without knowing the attenuation coefficients of the m… Show more

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Cited by 10 publications
(3 citation statements)
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“…Figure 2 a,b respectively shows the received displacement amplitude of the fundamental and second harmonic waves, calculated using Equations (9) and (10). The behavior of the received displacement in the solid specimen is not unfamiliar and is similar to the results observed in previous studies [ 36 ]. The distance between the solid-air interface and the receiver is 0.5 cm, which is very short, the transmission coefficient was assumed to be 1, and the attenuation in the air layer was neglected, so the displacement received in the air layer remains almost the same and is equal to the displacement at the end of the solid specimen.…”
Section: Simulation Resultssupporting
confidence: 86%
“…Figure 2 a,b respectively shows the received displacement amplitude of the fundamental and second harmonic waves, calculated using Equations (9) and (10). The behavior of the received displacement in the solid specimen is not unfamiliar and is similar to the results observed in previous studies [ 36 ]. The distance between the solid-air interface and the receiver is 0.5 cm, which is very short, the transmission coefficient was assumed to be 1, and the attenuation in the air layer was neglected, so the displacement received in the air layer remains almost the same and is equal to the displacement at the end of the solid specimen.…”
Section: Simulation Resultssupporting
confidence: 86%
“…Use of Eqs. (14) and (15) Experimental details can be found in [18] including receiver calibration for absolute measurements of fundamental and second harmonic displacements.…”
Section: Nonlinearity Parametermentioning
confidence: 99%
“…The nonlinear parameters of solid media are predominantly measured using the longitudinal wave in the through-transmission (T-T) setup [1,2,3,4], which needs to approach both sides. The T-T technique therefore may have limitations when applied to field measurements.…”
Section: Introductionmentioning
confidence: 99%