DPSM technique for ultrasonic field modelling near fluid-solid interface

Ultrasonics

Volumn 46, Issue 3, 2007, Pages 235-250

  Banerjee, Sourav ^a   Kundu, Tribikram ^a   Alnuaimi, Nasser A ^b  

^a University of Arizona   (United States)

^b University of Qatar ^*  (Qatar)

Author keywords

Critical angle; DPSM technique; Fluid solid interface modelling; Leaky wave; Rayleigh wave

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MULTILAYERS; RAYLEIGH WAVES; TRANSDUCERS; ULTRASONICS;

CRITICAL ANGLE; DISTRIBUTED POINT SOURCE METHOD (DPSM); FINITE DIMENSIONS; FLUID-SOLID INTERFACE MODELLING; LEAKY WAVES;

INTERFACES (MATERIALS);

EID: 34248210747     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2007.02.003     Document Type: Article

References (37)

1. Rayleigh L. Theory of Sound vol. II (1965), Dover, New York pp. 162-169
2. Morse P.M., and Ingard U.K. Theoretical Acoustics (1968), McGraw-Hill, New York
3. Schmerr L.W. Fundamental of Ultrasonic Nondestructive Evaluation-A Modeling Approach (1998), Plenum Press, New York
4. In: Kundu T. (Ed). Ultrasonic Nondestructive Evaluation: Engineering and Biological Material Characterization (2004), CRC Press, Boca Raton, FL (Chapter 2)
5. Harris G.R. Review of transient field theory for a baffled planar piston. Journal of the Acoustical Society of America 70 (1981) 10-20
6. Sha K., Yang J., and Gan W.-S. A complex virtual source approach for calculating the diffraction beam field generated by a rectangular planar source. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 50 (2003) 890-895
7. Stepanishen P.R. Transient radiation from piston in an infinite planar baffle. Journal of the Acoustical Society of America 49 (1971) 1627-1638
8. Jensen J.A., and Svendsen N.B. Calculation of pressure fields from arbitrary shaped, apodized, and excited ultrasound transducers. IEEE Transactions on Ultrasonics, Ferroelectric and Frequency Control 39 (1992) 262-267
9. Ingenito F., and Cook B.D. Theoretical investigation of the integrated optical effort produced by sound field radiated from plane piston transducers. Journal of the Acoustical Society of America 45 (1969) 572-577
10. Lockwood J.C., and Willette J.G. High-speed method for computing the exact solution for the pressure variations in the near field of a baffled piston. Journal of the Acoustical Society of America 53 (1973) 735-741
11. Scarano G., Denisenko N., Matteucci M., and Pappalardo M. A new approach to the derivation of the impulse response of a rectangular piston. Journal of the Acoustical Society of America 78 (1985) 1109-1113
12. Hah Z.G., and Sung K.M. Effect of spatial sampling in the calculation of ultrasonic fields generated by piston transducers. Journal of the Acoustical Society of America 92 (1992) 3403-3408
13. Wu P., Kazys R., and Stepinski T. Analysis of the numerically implemented angular spectrum approach based on the evaluation of two-dimensional acoustic fields. Part I. Errors due to the discrete Fourier transform and discretization. Journal of the Acoustical Society of America 99 (1995) 1139-1148
14. Lerch T.P., Schmerr L.W., and Sedov A. Ultrasonic beam models: an edge element approach. Journal of the Acoustical Society of America 104 (1998) 1256-1265
15. Lerch T.P., Schmerr L.W., and Sedov A. Ultrasonic transducer radiation through a curved fluid-solid interface. In: Thompson D.O., and Chimenti D.E. (Eds). Review of Progress in Quantitative Nondestructive Evaluation vol. 17A (1998), Plenum Press, NY 923-930
16. Spies M. Transducer-modeling in general transversely isotropic media via point-source-synthesis theory. Journal of Nondestructive Evaluation 13 (1994) 85-99
17. Spies M. Elastic wave propagation in transversely isotropic media. II: The generalized Rayleigh-function and an integral representation for the transducer field theory. Journal of the Acoustical Society of America 97 (1995) 1-13
18. Wen J.J., and Breazeale M.A. A diffraction beam field expressed as the superposition of Gaussian beams. Journal of the Acoustical Society of America 83 (1988) 1752-1756
19. Schmerr L.W. A multiGaussian ultrasonic beam model for high performance simulations on a personal computer. Materials Evaluation (2000) 882-888
20. Spies M. Transducer field modeling in anisotropic media by superposition of Gaussian base functions. Journal of the Acoustical Society of America 105 (1999) 633-638
21. L.W. Schmerr, H.-J. Kim, R. Huang, A. Sedov, Multi-Gaussian ultrasonic beam modeling, in: Proceedings of the World Congress of Ultrasonics, WCU 2003, Paris, 7-10 September 2003, pp. 93-99.
22. Newberry B.P., and Thompson R.B. A paraxial theory for the propagation of ultrasonic beams in anisotropic solids. Journal of the Acoustical Society of America 85 (1989) 2290-2300
23. Spies M. Analytical methods for modeling of ultrasonic nondestructive testing of anisotropic media. Ultrasonics 42 (2004) 213-219
24. D. Placko, T. Kundu, A theoretical study of magnetic and ultrasonic sensors: dependence of magnetic potential and acoustic pressure on the sensor geometry. Advanced NDE for structural and biological health monitoring, in: T. Kundu (Ed.), Proceedings of SPIE, SPIE's 6th Annual International Symposium on NDE for Health Monitoring and Diagnostics, Newport Beach, California, 4335, 4-8 March 2001, pp. 52-62.
25. D. Placko, T. Kundu, R. Ahmad, Theoretical computation of acoustic pressure generated by ultrasonic sensors in presence of an interface. Smart NDE and health monitoring of structural and biological systems, in: SPIE's 7th Annual International Symposium on NDE and Health Monitoring and Diagnostics, San Diego, CA, 4702, 2002, pp. 157-168.
26. Kühnicke E. Three-dimensional waves in layered media with nonparallel and curved interfaces: a theoretical approach. Journal of the Acoustical Society of America 100 2 (1996) 709-716
27. Banerjee S., Kundu T., and Placko D. Ultrasonic field modelling in multilayered fluid structures using DPSM technique. ASME Journal of Applied Mechanics 73 4 (2006) 598-609
28. Lee J.P., Placko D., Alnuamaini N., and Kundu T. Distributed point source method (DPSM) for modeling ultrasonic fields in homogeneous and non-homogeneous fluid media in presence of an interface. In: Balageas D.L. (Ed). First European Workshop on Structural Health Monitoring, Ecole Normale Superieure de Cachan, France (2002), DEStech, PA, USA 414-421
29. Ahmad R., Kundu T., and Placko D. Modeling of the ultrasonic field of two transducers immersed in a homogeneous fluid using distributed point source method. I2M (Instrumentation, Measurement and Metrology) Journal 3 (2003) 87-116
30. D. Placko, T. Kundu, R. Ahmad, Ultrasonic field computation in presence of a scatterer of finite dimension, in: Smart NDE and Health Monitoring of Structural and Biological Systems, SPIE's 8th Annual International Symposium on NDE and Health Monitoring and Diagnostics, San Diego, CA, 5047, 2003, pp. 169-179.
31. Ahmad R., Kundu T., and Placko D. Modeling of phased array transducers. Journal of the Acoustical Society of America 117 (2005) 1762-1776
32. Mal A.K., and Singh S.J. Deformation of Elastic Solids (1991), Prentice Hall, Englewood Cliffs, NJ
33. Placko D., and Kundu T. Modeling of ultrasonic field by distributed point source method. In: Kundu T. (Ed). Ultrasonic Nondestructive Evaluation: Engineering and Biological Material Characterization (2004), Pub. CRC Press, Boca Raton, FL 144-201 (Chapter 2)
34. Placko D., Liebeaux N., and Kundu T. Presentation d'une method generique pour La Modelisation des Capteurs de type Ultrasons. Magnetiques at Electrostatiques, Instrumentation, Mesure, Metrologie (I2M Journal): Evaluation Nondestructive 1 (2001) 101-125
35. Kundu T., Lee J.P., Blase C., and Bereiter-Hahn J. Acoustic microscope lens modeling and its application in determining biological cell properties from single and multilayered cell models. Journal of the Acoustical Society of America 120 3 (2006) 1646-1654
36. Bertoni H.L., and Tamir T. Unified theory of Rayleigh-angle phenomena for acoustic beams at liquid-solid interface. Applied Physics Letters 2 (1973) 157-172
37. Banerjee S., and Kundu T. Advanced applications of distributed point source method - ultrasonic field modelling in solid media. In: Kundu T., and Placko D. (Eds). DPSM for Modeling Engineering Problems (2007), John Wiley and Sons (Chapter 4)