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Research Papers

P-Spice Modeling Three-Dimensional Propagation of Ultrasound Diffraction Considering a Gaussian Beam Approach

[+] Author and Article Information
Soucrati Hanane

Laboratory of Electrical Systems
and Telecommunications,
Cadi Ayyad University,
BP 549, Avenue Abdelkarim Elkhattabi,
Guéliz Marrakech 40000, Morocco
e-mail: hanane.soucrati@edu.uca.ma

Chitnalah Ahmed

Laboratory of Electrical Systems
and Telecommunications,
Cadi Ayyad University,
BP 549, Avenue Abdelkarim Elkhattabi,
Guéliz Marrakech 40000, Morocco
e-mail: a.chitnalah@uca.ma

Aouzale Noureddine

Laboratory of Electrical Systems
and Telecommunications,
Cadi Ayyad University,
BP 549, Avenue Abdelkarim Elkhattabi,
Guéliz Marrakech 40000, Morocco
e-mail: n.aouzale@uca.ma

El Idrissi Abdelaziz

Laboratory of Electrical Systems
and Telecommunications,
Cadi Ayyad University,
BP 549, Avenue Abdelkarim Elkhattabi,
Guéliz Marrakech 40000, Morocco
e-mail: a.elidrissi@uca.ma

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 5, 2015; final manuscript received October 8, 2015; published online November 23, 2015. Assoc. Editor: Theodore Farabee.

J. Vib. Acoust 138(1), 011019 (Nov 23, 2015) (6 pages) Paper No: VIB-15-1113; doi: 10.1115/1.4031824 History: Received April 05, 2015; Revised October 08, 2015

In this paper, we propose a new method for simulating three-dimensional (3D) ultrasonic wave propagation using P-Spice like simulator. We use a one-dimensional transmission line model to implement the diffraction losses. In order to simulate the beam pattern considering axial and radial orientations, we calculate the diffraction losses in 3D space. First, we express the radiated field using a set of Gaussian beams. Calculating the average pressure over the receiver surface allows us to determine the diffraction losses. These losses are then incorporated into the P-Spice model via the G parameter which is axial and radial orientations dependent. Comparison between P-Spice simulation and analytical model results shows good agreements.

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References

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Figures

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Fig. 1

Simplified scheme of the studied situation

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Fig. 2

P-Spice electrical diagram of the transducer and the propagation medium

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Fig. 3

Pressure distributions across the transducer area

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Fig. 4

Comparison of the pressure (analytical model) and force (circuital model) axial distributions for r = 0 for (up) uniform transducer profile and (bottom) exponential transducer profile

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Fig. 5

Comparison of the pressure (analytical model) and force (circuital model) radial distributions at z = zm for (up) uniform transducer profile and (bottom) exponential transducer profile

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Fig. 6

Comparison of the pressure (analytical model) and force (circuital model) radial distributions at z = z0 for (up) uniform transducer profile and (bottom) exponential transducer profile

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Fig. 7

Comparison of the pressure (analytical model) and force (circuital model) radial distributions at z = zmax for (up) uniform transducer profile and (bottom) exponential transducer profile

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