P. and Y. Ufimtsev, Fundamentals of the Physical Theory of Diffraction, pp.71-76, 2007.

B. L?-u, M. Darmon, L. Fradkin, and C. Potel, Numerical comparison of acoustic wedge models, with application to ultrasonic telemetry, Ultrasonics, 2015.

V. Zernov, L. Fradkin, and M. Darmon, A refinement of the Kirchhoff approximation to the scattered elastic fields, Ultrasonics, vol.52, pp.830-835, 2012.

J. B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Am, vol.52, pp.116-130, 1962.

J. D. Achenbach and A. K. Gautesen, Geometrical theory of diffraction for three-D elastodynamics, J. Acoust. Soc. Am, vol.61, pp.413-421, 1977.

J. D. Achenbach, A. K. Gautesen, and H. Mcmaken, Rays Methods for Waves in Elastic Solids, issue.5, pp.109-148, 1982.

R. M. Lewis and J. Boersma, Uniform asymptotic theory of edge diffraction, J. Math. Phys, vol.10, pp.2291-2305, 1969.

S. W. Lee and G. A. Deschamps, A uniform asymptotic theory of electromagnetic diffraction by a curved wedge, IEEE Trans. Antennas. Propag, vol.24, pp.25-34, 1976.

D. S. Ahluwalia, Uniform asymptotic theory of diffraction by the edge of a three dimensional body, SIAM J. Appl. Math, vol.18, pp.287-301, 1970.

B. L. Van-der-waerden, On the method of saddle points, Appl. Sci. Res., Sect. B, vol.2, pp.33-45, 1951.

, versus the observation angle at X L ¼ 90 ; h L ¼ 30 in percent of the incident amplitude (a) r ¼ 2k L , (b) r ¼ 8k L , (c) r ¼ 500k L. Solid line represents the absolute error between initial UTD and UAT total fields and dashed line represents absolute error between modified UTD and UAT, FIG. 10. Absolute error between UTD and UAT total fields in percentage of the incident displacement amplitude

P. H. Pathak and R. G. Kouyoumjian, The dyadic diffraction coefficient for a perfectly-conducting wedge, DTIC Document, Tech. Rep, 1970.

R. G. Kouyoumjian and P. H. Pathak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. IEEE, vol.62, pp.1448-1461, 1974.

P. C. Clemmow, Some extension to the method of integration by steepest descent, Q. J. Mech., Appl. Math. III, pp.241-256, 1950.

V. A. Borovikov and B. Y. Kinber, Geometrical Theory of Diffraction, 1994.

H. Mcmaken, A uniform theory of diffraction for elastic solids, J. Acoust. Soc. Am, vol.75, pp.1352-1359, 1984.

N. Tsingos, T. Funkhouser, A. Ngan, and I. Carlbom, Modeling acoustics in virtual environments using the uniform theory of diffraction, Proc. ACM SIGGRAPH, pp.545-552, 2001.

M. F. Catedra, J. Perez, F. Saez-de-adana, and O. Gutierrez, Efficient ray-tracing techniques for three-dimensional analyses of propagation in mobile communications: Application to picocell and microcell scenarios, IEEE Antennas Propag. Mag, vol.40, pp.15-28, 1998.

D. Bouche and F. Molinet, M ethodes Asymptotiques en Electromagn etisme (Asymptotic Methods in Electromagnetics), pp.192-198, 1994.

D. Bouche, F. Molinet, and R. Mittra, Asymptotic Methods in Electromagnetics, 1997.

V. A. Borovikov, Uniform Stationary Phase Method (The Institution of Electrical Engineers, pp.159-161, 1994.

F. Molinet, Acoustic High-Frequency Diffraction Theory, pp.244-259, 2011.

L. Ju, R. Fradkin, and . Stacey, The high-frequency description of scatter of a plane compressional wave by an elliptical crack, Ultrasonics, vol.50, pp.529-538, 2010.

D. Gridin, High-frequency asymptotic description of head waves and boundary layers surrounding critical rays in an elastic half-space, J. Acoust. Soc. Am, vol.104, pp.1188-1197, 1998.

J. D. Achenbach and A. K. Gautesen, Edge diffraction in acoustics and elastodynamics, Low and High Frequency Asymptotics, vol.2, pp.335-401, 1986.

L. W. Schmerr and S. Song, Ultrasonic Nondestructive Evaluation Systems: Models and Measurements, 2007.

M. Darmon and S. Chatillon, Main features of a complete ultrasonic measurement model-Formal aspects of modeling of both transducers radiation and ultrasonic flaws responses, Open J. Acoust, vol.3, pp.43-53, 2013.

M. Darmon, V. Dorval, A. Djakou, L. Fradkin, and S. Chatillon, A system model for ultrasonic NDT based on the physical theory of diffraction (PTD), Ultrasonics, vol.64, pp.115-127, 2016.
URL : https://hal.archives-ouvertes.fr/cea-01845392

G. Toullelan, R. Raillon, S. Chatillon, V. Dorval, M. Darmon et al., Results of the 2015 UT modeling benchmark obtained with models implemented in CIVA, AIP Conf. Proc, 2016.
URL : https://hal.archives-ouvertes.fr/cea-01811905

A. Djakou, M. Darmon, and C. Potel, Elastodynamic models for extending GTD to penumbra and finite size scatterers, Phys. Proc, vol.70, pp.545-549, 2015.
URL : https://hal.archives-ouvertes.fr/cea-01753217

M. Darmon, N. Leymarie, S. Chatillon, and S. Mahaut, Modelling of scattering of ultrasounds by flaws for NDT, Ultrasonic Wave Propagation in Non Homogeneous Media, vol.128, pp.61-71, 2009.