Improved physical theory of diffraction: Removal of the grazing singularity

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 10, 2006, Pages 2698-2702

  Ufimtsev, Pyotr Ya ^a  

^a EM Consulting   (United States)

Author keywords

Physical theory of diffraction

Indexed keywords

ANTENNAS; ELECTROMAGNETIC WAVE PROPAGATION; ELECTROMAGNETIC WAVE SCATTERING;

FORWARD SCATTERING; PHYSICAL THEORY; SCATTERING EDGE;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 33750096522     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.882179     Document Type: Article

References (21)

1. J. B. Keller, "Geometrical theory of diffraction," J. Opt. Soc. Amer., vol. 52, no. 2, pp. 116-30, 1962.
2. P. Y. Ufimtsev, Method of Edge Waves in the Physical Theory of Diffraction (in Russian). Moscow, Sovetskoe Radio, p. 243, 1962, [Translated into English by the U.S. Air Force, Foreign Technology Division (National Air Intelligence Center), Wright-Patterson AFB, OH, 1971. Tech. Rep. AD 733203, Defense Technical Information Center of USA, Cameron Station, Alexandria, VA, 22304-6145, USA].
3. P. Y. Ufimtsev, "Elementary edge waves and the physical theory of diffraction," Electromagn., vol. 11, no. 2, pp. 125-60, 1991.
4. P. Y. Ufimtsev, Theory of Edge Diffraction in Electromagnetics. Encino, CA: Tech. Science Press, 2003.
5. R. G. Kouyoumjian and P. H. Pathak, "A uniform theory of diffraction for an edge in a perfectly conducting surface," Proc. IEEE, vol. 62, no. 11, pp. 1448-1461, 1974.
6. R. Tiberio, S. Maci, and A. Toccafondi, "An incremental theory of diffraction: Electromagnetic formulation," IEEE Trans. Antennas Propag., vol. 43, no. 1, pp. 87-96, Jan. 1995.
7. M. Tran Van Nhieu, "Diffraction by plane screens," J. Acoust. Soc. Amer., vol. 97, no. 2, pp. 796-806, 1995.
8. M. Tran Van Nhieu, "Diffraction by the edge of a three-dimensional object," J. Acoust. Soc. Amer., vol. 99, no. 1, pp. 79-87, 1996.
9. A. Michaeli, "Equivalent currents for second order diffraction by the edges of perfectly conducting polygonal surfaces," IEEE Trans. Antennas Propag., vol. AP-35, no. 2, pp. 183-190, Feb. 1987.
10. O. Breinbjerg, "Higher order equivalent edge currents for fringe wave radar scattering by perfectly conducting polygonal plates," IEEE Trans. Antennas Propag., vol. 40, no. 12, pp. 1543-1554, Dec. 1992.
11. P. M. Johansen, "Uniform physical theory of diffraction equivalent edge currents for truncated wedge strips," IEEE Trans. Antennas Propag., vol. 44, no. 7, pp. 989-995, Jul. 1996.
12. A. Sommerfeld, "Mathematische Theorie der Diffraction," Mathematische Annalen, vol. 47, pp. 317-374, 1896.
13. J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Eds., Electromagnetic and Acoustic Scattering by Simple Shapes. Bristol, PA: Hemisphere, 1987.
14. V. A. Fock, Electromagnetic Diffraction and Propagation Problems. London: Pergamon, 1965.
15. A. Sommerfeld, Theorie der Beugung (Theory of diffraction). Ch. 20 in the book Die Differential- und Integralgleichungen der Mechanik und Physik. Vol 2, Physical Part. Editors: F. Frank and R. V. Mizes. Friedr. Vieweg & Sohn, Braunschweig, Germany, 1935, American publications. New York, 1943, 1961.
16. D. I. Butorin and P. Y. Ufimtsev, "Explicit expressions for an acoustic edge wave scattered by an infinitesimal edge element," Soviet Phys. -Acoust., vol. 32, no. 4, pp. 283-287, 1986.
17. D. I. Butorin, N. A. Martynov, and P. Y. Ufimtsev, Asymptotic expressions for the elementary edge wave (in Russian) Radiotekhnika i elektronika, vol. 32, no. 9, pp. 1818-1828, 1987, [English translation published by Soviet J. Communicat. Technol. Electron., vol. 33, no. 1, pp. 17-26, 1988].
18. P. Y. Ufimtsev, "Theory of acoustical edge waves," J. Acoust. Soc. Amer., vol. 86, no. 2, pp. 463-474, 1989.
19. A. Rubinowicz, "Zur Kirchhoffschen Beugungstheorie," Annalen der Physik Folge 4, Band 73, pp. 339-364, 1924.
20. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products. New York: Academic, 1994.
21. P. Y. Ufimtsev, "Improved theory of acoustic elementary edge waves," J. Acoust. Soc.Amer., vol. 120, no. 2, August 2006.