Reflection of parametric radiation from a finite planar target

Garrett, Greer S.; Tjo/tta, Jacqueline Naze; Rolleigh, Richard; Tjøtta, Sigve

doi:10.1121/1.390862

Cited by 9 publications

(7 citation statements)

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“…Similar previous work exists in this area for the case when a boundary is present. This includes the work of Garrett et al [6], who expanded upon the quasi-linear parabolic theory of Naze Tjotta and Tjotta [30] to develop a reflection theory for nonlinear parametric radiation. The numerical predictions of their model compared reasonably well with results of experiments performed in water, using a polyfoam target as the reflector.…”

Section: Incorporating Reflecting Boundariesmentioning

confidence: 99%

“…Examples of both theoretical and experimental work on the reflection of second harmonics can be found in the literature. Most of these, however, have been found in the fields of biomedical imaging [6,7,8] and fluid nonlinearity [9,10], which has generally meant that rigid-type reflectors have been considered. Here the emphasis is on the type of pressure-release interface which typically features in the pulse-echo inspection of a solid component.…”

Section: Introductionmentioning

confidence: 99%

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Pulse-Echo Harmonic Generation Measurements for Non-destructive Evaluation

Best¹,

Croxford²,

Neild³

2013

J Nondestruct Eval

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Ultrasonic harmonic generation measurements have shown promising potential for detecting nonlinear changes in various materials. Despite this, the practical implementation of the technique in non-destructive evaluation (NDE) has typically been limited to the through transmission setup case, with which problems arise in certain situations. Recently, works in the fields of nonlinear fluids and biomedical imaging have reported different application of the harmonic generation theory by making use of reflective boundaries and beam focusing. It is thought that such techniques may be similarly applied in the field of NDE to enable single-sided nonlinear inspection of components. In this paper, we initially describe a numerical model which has been used to determine the effects of attenuation and acoustic beam diffraction on measurements of the nonlinear parameter β. We then extend the model to incorporate first the effects of multiple reflecting boundaries in the propagation medium, then of focused source excitation. Simulations, supported by experimental data, show that nonlinear pulse-echo measurements have the potential to provide a viable (and more practical) alternative to the usual through-transmission type as a means of measuring β in solids. Furthermore, it is shown that such measurements may by optimised by focusing the acoustic source at a certain point relative to the specimen boundary.

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Section: Incorporating Reflecting Boundariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pulse-Echo Harmonic Generation Measurements for Non-destructive Evaluation

Best¹,

Croxford²,

Neild³

2013

J Nondestruct Eval

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show abstract

“…Therefore, the second harmonic generated after reflection tends initially to offset the reflected second harmonic that was generated in the incident beam. Garrett et al 8 describe similar behavior for difference-frequency generation involving reflection from a free surface.…”

Section: Focused Gaussian Beamsmentioning

confidence: 79%

“…The incident, reflected, and transmitted beams are assumed to propagate in homogeneous, fluid-like media. The analysis is based on the KZK equation, and it is therefore similar to the theory described by Garrett et al 8 These authors investigated difference-frequency generation in a sound beam reflected from a planar target, with theory and experiment compared for reflection from a pressure release surface in water. Attention was devoted to the manner in which the differencefrequency component generated before reflection combines with the component generated after reflection.…”

Section: Introductionmentioning

confidence: 99%

Second-harmonic generation in a sound beam reflected and transmitted at a curved interface

Makin

Averkiou

Hamilton

2000

The Journal of the Acoustical Society of America

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This article presents a model for second-harmonic generation in a sound beam that is reflected from or transmitted through a curved interface. Propagation in homogeneous fluids is assumed. Simple analytic solutions are derived for the case of focused Gaussian beams. The solutions are used to illustrate the effects of focusing or defocusing due to curvature of the interface, in combination with impedance change at the interface, on energy transfer from the fundamental to the second harmonic.

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“…These methods are based on the impulse response (IR) method [3][4][5][6][7][8][9][10], the angular spectrum technique [11][12][13], the finite element analysis [14,15], optical geometry studies [16,17], multi-Gaussian beam models [18] and so on. Using some of them, simulation tools have been developed for evaluation assessment in medical applications [19] or other sophisticated software packages, such as the CIVA program [20] for industrial NDE.…”

Section: Introductionmentioning

confidence: 99%