A Uniform Geometrical Theory of Diffraction for an Edge in a Perfectly Conducting Surface

Proceedings of the IEEE

Volumn 62, Issue 11, 1974, Pages 1448-1461

  Kouyoumjian, Robert G ^a   Pathak, Prabhakar H ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EDGE DIFFRACTION; GEOMETRICAL THEORY OF DIFFRACTION;

RADIO TRANSMISSION - PROPAGATION EFFECTS;

ELECTROMAGNETIC WAVES;

EID: 0016129803     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1974.9651     Document Type: Article

References (36)

1. J. B. Keller, “The geometric optics theory of diffraction,” presented at the 1953 McGill Symp. Microwave Optics, A.F. Cambridge Res. Cent., Rep. TR-59-118 (II), 207–210, 1959.
2. —,“A geometrical theory of diffraction,” in Calculus of Variations and its Applications, L. M. Graves, Ed. New York: McGraw-Hill. 1958, pp. 27-52.
3. —, “Geometrical theory of diffraction,” J. Opt. Soc. Amer., vol. 52, pp. 116–130, 1962.
4. M. Kline, “An asymptotic solution of Maxwell's equations,” Commun. Pure Appl. Math., vol. 4, pp. 225-262, 1951.
5. D. L. Hutchins and R. G. Kouyoumjian, “Asymptotic series describing the diffraction of a plane wave by a wedge,” Ohio State Univ., Columbus, Rep. 2183–3, Dec. 15, 1969, ElectroScience Lab., Dep. Elec. Eng., prepared under Contract AF 19(628)-5929 for A.F. Cambridge Res. Labs, (AFCRL-69-0412), also ASTIA Doc. AD 699 228.
6. W. Pauli, “On asymptotic series for functions in the theory of diffraction of light,” Phys. Rev., vol. 54, pp. 924–931, 1938.
7. F. Oberhettinger, “On asymptotic series for functions occurring in the theory of diffraction of waves by wedges,” J. Math. Phys., vol. 34, pp. 245–255, 1956.
8. P. H. Pathak and R. G. Kouyoumjian, “The dyadic diffraction coefficient for a perfectly-conducting wedge,” ElectroScience Lab., Dep. Elec. Eng., Ohio State Univ., Columbus, Rep. 2183–4, June 5, 1970, prepared under Contract AF 19(628)-5929 for A.F. Cambridge Res. Labs. (AFCRL-69-0546), also ASTIA Doc. AD 707 827.
9. J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi. Electromagnetic and Acoustic Scattering by Simple Shapes. Amster-dam, The Netherlands: North-Holland Pub., 1969.
10. D. S. Jones, The Theory of Electromagnetism. New York: Macmillan, 1964.
11. D. S. Ahluwalia, R. M. Lewis, and J. Boersma, “Uniform asymptotic theory of diffraction by a plane screen,” SIAM J. Appl. Math., vol. 16, pp. 783-807, 1968.
12. R. M. Lewis and J. Boersma, “Uniform asymptotic theory of edge diffraction,” J. Math. Phys., vol. 10, pp. 2291–2305.
13. D. S. Ahluwalia, “Uniform asymptotic theory of diffraction by the edge of a three-dimensional body,” SIAM J. Appl. Math., 18, pp. 287–301, 1970.
14. J. B. Keller, R. M. Lewis, and B. D. Seckler, “Asymptotic solution of some diffraction problems,” Commun. Pure Appl. Math., vol 9, pp. 207-265, 1956.
15. R. G. Kouyoumjian, “Asymptotic high frequency methods,” Proc. IEEE, vol. 53, pp. 864–876, Aug. 1965.
16. I. Kay and J. B. Keller, “Asymptotic evaluation of the field at a caustic,” J. Appl. Phys., vol. 25, pp. 876–883, 1954.
17. D. Ludwig, “Uniform asymptotic expansions at a caustic,” Commun. PUre Appl. Match., vol. 19, pp. 215-250, 1966.
18. J. B. Keller, “Diffraction by an aperture,” J. Appl. Phys., vol. 28, pp. 426-444, Apr. 1957.
19. T. B. A. Senior and P. L. E. Uslenghi, “High-frequency back scattering from a finite cone,” Radio Sci., vol. 6, pp. 393–406, 1971.
20. L. Kaminetsky and J. B. Keller, “Diffraction coefficients for higher order edges and vertices,” SIAM J. Appl. Math., vol. 22, pp. 109–134, 1972.
21. T. B. A. Senior, “Diffraction coefficients for a discontinuity in curvature,” Electron. Lett., vol. 7, no. 10, pp. 249–250, May 20, 1971.
22. T. B. A. Senior, “The diffraction matrix for a discontinuity in curvature,” IEEE Trans. Antennas Propagat., vol. AP-20, pp. 326-333, May 1972.
23. P. C. Clemmow, “Some extensions to the method of integration by steepest descents,” Quart. J. Mech. Appl. Math., vol. 3, pp. 241-256, 1950.
24. A. Sommerfeld, “Mathematische Theorie der Diffraktion,” Math. Ann., vol. 47, pp. 317–374, 1896.
25. R. G. Kouyoumjian and P. H. Pathak, “The dyadic diffraction coefficient for a curved edge,” ElectroScience Laboratory, Dep. Elec. Eng., Ohio State Univ., Columbus, Rep. 3001-3, Aug. 1973, prepared under Grant NGR 36-008-144 for NASA, Langley Research Center, Hampton, Va., (see Appendix III).
26. R. C. Rudduck, “Application of wedge diffraction to antenna theory,” ElectroScience Lab., Dep. Elec. Eng., Ohio State Univ., Columbus, Rep. 1691–13, June 30, 1965, prepared under Grant NsG-448 for NASA.
27. Y. Obha, “On the radiation patterns of a corner reflector,” IRE Trans. Antennas Propagat., vol. AP-11, pp. 127-132, Mar. 1963.
28. Y. Nomura, “On the diffraction of electromagnetic waves by a perfectly reflecting wedge,” Res. Inst., Tohoku Univ., Sendai, Japan, Sci. Reps., Series B, vol. 1 and 2, no. 1, pp. 1-24, 1951.
29. C. E. Ryan and L. Peters, Jr., “A creeping-wave analysis of the edge-on echo area of discs,” IEEE Trans. Antennas Propagat. (Lett.), vol. AP-16, pp. 274-275, Mar. 1968.
30. T. B. A. Senior, “Disc scattering at edge-on incidence,” IEEE Trans. Antennas Propagat., vol. AP-17, pp. 751-756, Nov. 1969.
31. R. N. Buchal and J. B. Keller, “Boundary layer problems in diffraction theory,” Commun. Pure Appl. Math., vol. 13, pp. 85-114, 1960.
32. P. Wolfe, “Diffraction of a scalar wave by a plane screen,” SIAM J. Appl. Math., vol. 14, pp. 577-599, 1966.
33. N. Zitron and S. N. Karp, “Higher-order approximation in multiple scattering. I. Two-dimensional scalar case,” J. Math. Phys., vol. 2, pp. 394-406, 1961.
34. C. E. Ryan, Jr., and L. Peters, Jr.,“Evaluation of edge-diffracted fields including equivalent currents for the caustic regions” IEEE Trans. Antennas Propagat., vol. AP-17, pp. 292-299, May 1969.
35. Report 2183–1, 23 March, ElectroScience Lab., Dep. Elec. Eng., Ohio State Univ., Columbus, prepared under Contract AF 19(628)-5929 for A.F. Cambridge Res. Labs. (AFCRL-69-0413), also ASTIA Doc. AD 707 105.
36. G. A. Deschamps, “Ray techniques in electrornagnetics,” Proc. IEEE, vol. 60, pp. 1022–1035, Sept. 1972.