Diffraction by the edge of a three-dimensional object

Journal of the Acoustical Society of America

Volumn 99, Issue 1, 1996, Pages 79-87

  Tran Van Nhieu, Michel ^a  

^a Thomson Sintra ASM   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIFFRACTION; GEOMETRY; OPTICS; PHYSICS; PRIORITY JOURNAL; SURFACE PROPERTY; THEORY;

EID: 0030030114     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.414492     Document Type: Article

References (14)

1. J. B. Keller, "Geometrical theory of diffraction," J. Opt. Soc. Am. 52, 116-130 (1962).
2. P. Ya. Ufimtsev, "Method of edge waves in the physical theory of diffraction," translation from "Method krayevykh voln v fizicheskoy teorii difftaktsii," Izdat Sov. Radio, Moscow, 1-243 (1962), translation prepared by US Air Force Foreign Technology Division, Wright-Patterson AFB, Ohio, 1971.
3. P. Ya. Ufimtsev, "Theory of acoustical edge waves," J. Acoust. Soc. Am. 86, 463-474 (1989)
4. D. S. Ahluwalia, "Uniform asymptotic theory of diffraction by the edge of a three-dimensional body," SIAM J. Appl. Math. 18, 287-301 (1970).
5. E. F. Knott and T. B. A. Senior, "Comparison of three high-frequency diffraction techniques," Proc. IEEE 62, 1468-1474 (1974).
6. M. D. Van Dyke, Perturbation Methods in Fluid Mechanics (Academic, New York, 1964).
7. M. Tran Van Nhieu, "Diffraction by plane screens," J. Acoust. Soc. Am. 97, 796-806 (1995).
8. P. Ya. Ufimtsev, "Uniform asymptotic theory of diffraction by a finite cylinder," SIAM J. Appl. Math. 37, 459-466 (1979).
9. F. B. Sleator, "The wedge," in Electromagnetic and Acoustic Scattering by Simple Shapes, edited by J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi (North-Holland, Amsterdam, 1969).
10. H. Bateman, Tables of Integral Transforms (McGraw-Hill, New York, 1954), Vol. 1, pp. 56-57.
11. M. Abramowitz and I. A. Steigun, Handbook of Mathematical Functions (Dover, New York, 1970).
12. See, for example, D. J. Struik, Lectures on Classical Differential Geometry (Dover, New York, 1988).
13. V. A. Fock, Electromagnetic Diffraction and Propagation Problems (Pergamon, New York, 1965), Chap. 8, pp. 147-164.
14. N. Bleistein, Mathematical Method for Wave Phenomena (Academic, New York, 1984), pp. 82-89.