A novel and practical approach for determination of the acoustic nonlinearity parameter using a pulse-echo method

Jeong, Hyunjo; Zhang, Shuzeng; Barnard, Daniel J.; Li, Xiongbing

doi:10.1063/1.4940512

Cited by 7 publications

(10 citation statements)

References 10 publications

(12 reference statements)

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“…The C T for the pulse-echo setup is very large and increases sharply with decreasing propagation distance. This behavior is well compared with the through-transmission C T , 14 which is slightly less than one and decreases gradually with increasing distance. In the case of pulse-echo testing, a small error in C T may cause a large change in the corrected b.…”

Section: Resultssupporting

confidence: 62%

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Acoustic nonlinearity parameter measurements in a pulse-echo setup with the stress-free reflection boundary

Jeong

Cho

Zhang

et al. 2018

The Journal of the Acoustical Society of America

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This paper describes the acoustic nonlinearity parameter (β) determination for fluids using a pulse-echo method with the stress-free boundary. A newly derived β formula requires the measurement of the fundamental and second harmonic displacements with appropriate corrections for attenuation, diffraction, and boundary reflection. Measurements are composed of two steps: receiver calibration and harmonic generation. The β values calculated for water at several distances between the planar transducer and the water-air interface are in good agreement with literature, providing a validation for the method.

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Section: Resultssupporting

confidence: 62%

“…[11][12][13] In this study, the MGB model equation based on the quasilinear theory of the KZK equation will be used to calculate the beam fields of fundamental and second harmonics. 14 Consider the beam fields reflected from a planar free boundary as shown in Fig. 1, where a pulse-echo testing is schematically shown.…”

Section: Theorymentioning

confidence: 99%

Acoustic nonlinearity parameter measurements in a pulse-echo setup with the stress-free reflection boundary

Jeong

Cho

Zhang

et al. 2018

The Journal of the Acoustical Society of America

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“…The FZP transmitter is composed of N multiple elements. The SHG process described here is based on the quasilinear theory [18,19] and the total SHG is therefore given by adding the contribution from self-interaction of the fundamental wave in each element. In Figure 1b, v1false(jfalse) is the propagating fundamental wave of frequency f due to j th element radiation.…”

Section: Design Concept Of Fzp Sensorsmentioning

confidence: 99%

“…The Khokhlov–Zabolotskaya–Kuznetsov (KZK) equation or the Westervelt equation takes into account the combined effects of diffraction, absorption and nonlinearity, and is a proper model equation for sound beam radiation in fluids and their reflection from the stress-free boundary [20]. Recently, the quasilinear theory of the KZK equation and the Green’s function approach have been used to seek integral solutions for the reflected fundamental and second harmonic waves when a single element transducer was used [8,19,21]. The beam field formulation presented in this study is the straightforward extension of the previous methods used for a multiple element transducer.…”

Section: Fzp Beam Fields and Definition Of βmentioning

confidence: 99%

Application of Fresnel Zone Plate Focused Beam to Optimized Sensor Design for Pulse-Echo Harmonic Generation Measurements

Jeong

Shin

Zhang

et al. 2019

Sensors

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In nonlinear acoustic measurements involving reflection from the stress-free boundary, the pulse-echo method could not be used because such a boundary is known to destructively change the second harmonic generation (SHG) process. The use of a focusing acoustic beam, however, can improve SHG after reflection from the specimen boundary, and nonlinear pulse-echo methods can be implemented as a practical means of measuring the acoustic nonlinear parameter (β) of solid specimens. This paper investigates the optimal sensor design for pulse-echo SHG and β measurements using Fresnel zone plate (FZP) focused beams. The conceptual design of a sensor configuration uses separate transmission and reception, where a broadband receiver is located at the center and a four-element FZP transmitter is positioned outside the receiver to create a focused beam at the specified position in a solid sample. Comprehensive simulations are performed for focused beam fields analysis and to determine the optimal sensor design using various combinations of focal length, receiver size and frequency. It is shown that the optimally designed sensors for 1 cm thick aluminum can produce the second harmonic amplitude and the uncorrected nonlinear parameter corresponding to the through-transmission method. The sensitivity of the optimal sensors to the changes in the designed sound velocity is analyzed and compared between the odd- and even-type FZPs.

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“…[7] for an example set-up). More recently, researchers have attempted to recover the quadratic nonlinearity parameter by measurement of the second-harmonic in a pulse-echo configuration [8,9]. These measurements attempt to measure the second-harmonic from a reflected back surface echo.…”

Section: Theorymentioning

confidence: 99%

On the harmonic scattering amplitudes from a nonlinear elastic spherical inclusion

Kube

Argüelles

McWilliams

2018

AIP Conference Proceedings

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In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and third-harmonic components. The secondary field is solely a result of the quadratic and cubic elastic nonlinearity present within the region of the inclusion. The second-harmonic scattering amplitude depends on the quadratic nonlinearity parameter β , while the firstand third-harmonic amplitudes depend on the cubic nonlinearity parameter γ. The special cases of forward and backward scattering amplitudes were analyzed. For each harmonic, the forward-scattering amplitude is always greater than or equal to the backward scattering amplitude in which the equality is only realized in the Rayleigh scattering limit. Lastly, the amplitudes of the scattered harmonic waves are compared to predicted harmonic amplitudes derived from a plane wave model.

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A novel and practical approach for determination of the acoustic nonlinearity parameter using a pulse-echo method

Cited by 7 publications

References 10 publications

Acoustic nonlinearity parameter measurements in a pulse-echo setup with the stress-free reflection boundary

Acoustic nonlinearity parameter measurements in a pulse-echo setup with the stress-free reflection boundary

Application of Fresnel Zone Plate Focused Beam to Optimized Sensor Design for Pulse-Echo Harmonic Generation Measurements

On the harmonic scattering amplitudes from a nonlinear elastic spherical inclusion

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