References
- Auld, B. A.(1990) Acoustic Fields and Waves in Solids, 2nd ed., Robert E. Kreiger Publishing Co., Malabar, FL
- Huang, R., Schmerr, L. W. and Sedov, A. (2005) Multi-Gaussian Ultrasonic Beam Modeling for Multiple Curved Interfaces-An ABCD Matrix Approach, Research in Nondestructive Evaluation, Vol. 16, pp. 143-174 https://doi.org/10.1080/09349840500306055
- Jeong, H., Park, M.-C. and Schmerr, L. W.(2005) Application of a Modular Multi-Gaussian Beam Model to Some NDE Prablems, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 24, Eds. D. O. Thompson and D. E. Chimenti, pp. 986-993
- Kim, H. J., Park, J.-S., Song, S.-J. and Schmerr, L. W. (2004) Modeling Angle Beam Ultrasonic Testing Using Multi-Gaussian Beams, Journal of Nondestructive Evaluation, Vol. 23, pp. 81-93 https://doi.org/10.1023/B:JONE.0000048864.32407.d8
- Kim, H.-J., Song, S.-J. and Schmerr, L. W. (2004) Modeling Ultrasonic Pulse-Echo Signals from a Flat-Bottom Hole in Immersion Testing Using a Multi-Gaussian Beam, Journal of Nondestructive Evaluation, Vol. 23, pp. 11-19 https://doi.org/10.1023/B:JONE.0000045217.48147.f6
- Lopez-Sanchez, A. L, Kim, H.-J., Schmerr, L. W. and Gray, T. A.(2006) Modeling the Response of Ultrasonic Reference Reflectors, Research in Nondestructive Evaluation, Vol. 17, pp. 49-69 https://doi.org/10.1080/09349840600689459
- Newberry, B. P. and Thompson, R. B. (1989) A Paraxial Theory for the Propagation of Ultrasonic Beams in Anisotropic Solids, J. Acoust. Soc. Am., Vol. 85, pp. 2290-2300 https://doi.org/10.1121/1.397775
- Norris, A. N. (1987) A Theory of Pulse Propagation in Anisotropic Elastic Solids, Wave Motion, Vol. 9, pp. 1-24 https://doi.org/10.1016/0165-2125(87)90036-9
- Ogilvy, J. A.(1986) Ultrasonic Beam Profiles and Beam Propagation in an Austenitic Weld Using a Theoretical Ray Tracing Model, Ultrasonics, Vol. 24, pp. 337-347 https://doi.org/10.1016/0041-624X(86)90005-3
- Papadakis, E. P. (1964) Diffraction of Ultrasound Radiating into an Elastically Anisotropic Medium, J. Acoust. Soc. Am., Vol. 36, pp. 414-422 https://doi.org/10.1121/1.1918972
- Papadakis, E. P. (1966) Ultrasonic Diffraction Loss and Phase Change in Anisotropic Materials, J. Acoust. Soc. Am., Vol. 40, pp. 863-876 https://doi.org/10.1121/1.1910159
- Rudolph, M. (1999) Ultrasonic Beam Models in Anisotropic Medi, Ph.D. Thesis, Iowa State University
- Schmerr, L. W. and Sedov, A.(2003) A Modular Multi-Gaussian Beam Model for Isotropic and Anisotropic Media, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 24, Eds. D. O. Thompson and D. E. Chimenti, pp. 828-835
- Schmerr, L. W. (2000) A Multi-Gaussian Ultrasonic Beam Model for High Performance Simulations on a Personal Computer, Materials Evaluation, Vol. 58, pp. 882-888
- Song, S.-J., Park, J.-S., Kim, Y. H., Jeong, H. and Choi, Y-H. (2004) Prediction of Angle Beam Ultrasonic Testing Signals from a Surface Breaking Crack in a Plate Using Multi-Gaussian Beams and Ray Methods, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 23, Eds. D. O. Thompson and D. E. Chimenti, pp. 110-117
- Szabo, T. L. and Slobodnik, A. J. (1973) The Effect of Diffraction on the Design of Acoustic Surface Wave Devices, IEEE Trans. Sonics Ultrason., SU20, pp. 240-251
- Wen, J. J. and Breazeale, M. A. (1988) A Diffraction Beam Field Expressed as the Superposition of Gaussian Beams, J. Acoustic. Soc. Am., Vol. 83, No.5, 1752-1756 https://doi.org/10.1121/1.396508