An incremental theory of diffraction: Scalar formulation

IEEE Transactions on Antennas and Propagation

Volumn 42, Issue 5, 1994, Pages 600-612

  Tiberio, Roberto ^a   Maci, Stefano ^b  

^a UNIVERSITY OF SIENA   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE SCATTERING; GEOMETRICAL OPTICS; MATHEMATICAL MODELS; VECTORS;

ELECTROMAGNETIC DISTORTION; INCREMENT THEORY OF DIFFRACTION; SCALAR FORMULATION;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 0028428457     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.299558     Document Type: Article

References (40)

1. J. B. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Amer., vol. 52, pp. 116–130, 1962.
2. P. Y. Ufimtsev, “Method of edge waves in the physical theory of diffraction,” translation prepared by the U.S. Air Force Foreign Technology Division, Wright-Patterson AFB, OH, released for public distribution Sept. 7, 1971.
3. 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, no. 11, 1448–1461, Nov. 1974.
4. R. G. Kouyoumjian and P. H. Pathak “A uniform GTD approach to EM scattering and radiation,” in Acoustic, Electromagnetic and Elastic Wave Scattering—High and Low Frequency Asymptotics, vol. II, Varadan and Varadan, Eds. Amsterdam: North Holland, 1986.
5. S. W. Lee and G. A. Deshamps, “A uniform asymptotic theory of EM diffraction by a curved wedge,” IEEE Trans. Antennas Propagat., vol. AP-24, no. 1, 25–34, Jan. 1976.
6. R. A. Ross, “Radar cross section of rectangular flat plates as a function of aspect angle,” IEEE Trans. Antennas Propagat., vol. AP-14, no. 5, 329–335, 1966.
7. 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. (See also correction, vol. AP-18, 275, Mar. 1970)
8. W. D. Burnside and L. Peters, Jr., “Edge diffracted caustic fields,” IEEE Trans. Antennas Propagat., vol. AP-22, pp. 620–623, July 1974.
9. E. F. Knott and T. B. A. Senior, “Equivalent currents for a ring discontinuity,” IEEE Trans. Antennas Propagat., vol. AP-21, pp. 693–695, 1973.
10. J. Appel-Hansen, “Equivalent edge currents,” in Proc. 1987 SMBO Int. Microwave Symp., Rio de Janeiro, July 27-30,1987, vol. 1, 379–384.
11. F. A. Sikta, W. Burnside, T. T. Chu, and L. Peters, Jr., “First-order equivalent current and corner diffraction scattering from flat plate structures,” IEEE Trans. Antennas Propagat., vol. AP-31, no. 6, pp. 584–589, 1983.
12. T. J. Brinkley, L. P. Ivrissimtzis, and R. J. Marhefka, “Uniform theory of diffraction analysis of electromagnetic scattering from corners and vertices,” The Ohio State University ElectroScience Laboratory, Department of Electrical Engineering, Tech. Rep. 312506–1, Nov. 1989. under Contract Z90115 for McDonnell Douglas Corp.
13. L. P. Ivrissimtzis and R. J. Marhefka, “A uniform ray approximation of the scattering by polyhedral structures including higher terms,” IEEE Trans. Antennas vol. 40, no. 11, 1302–1312, 1992.
14. S. Maci, R. Tiberio, and A. Toccafondi “Diffraction at a plane angular sector” to be published in J. Electromag. Wave Appl.
15. K. M. Mitzner, “Incremental length diffraction coefficients,” Northrop Corporation, Aircraft Division, Tech. Rep. AFAL-TR-73-296, Apr. 1974.
16. R. A. Shore and A. D. Yaghjian, “Incremental diffraction coefficients for planar surfaces,” IEEE Trans. Antennas Propagat., vol. AP-36, no. 1, 55–70, Jan. 1988.
17. A. Michaeli, “Equivalent edge currents for arbitrary aspects of observation,” IEEE Trans. Antennas Propagat., vol. AP-32, pp. 252–258, Mar. 1984.
18. A. Michaeli, “Elimination of infinities in equivalent edge currents—I: Fringe current components,” IEEE Trans. Antennas Propagat., vol. AP-34, pp. 912–918, July 1986.
19. D. I. Butorin and P. Ya. Ufimtsev, “Explicit expressions for an acoustic edge wave scattered by an infinitesimal edge element,” Sov. Phys. Acoust., vol. 32, 283–287, no. 4, Jul.-Aug. 1986.
20. P. Ya. Ufimtsev, “Theory of acoustical edge waves,” J. Acoust. Soc. Amer., vol. 86, no. 2, 463–474, Aug. 1989.
21. P. Ya. Ufimtsev, “Elementary edge waves and the physical theory of diffraction,” Electromagnetics, vol. 11, no. 2, pp. 125–159, April-June 1991.
22. J. M. Arnold, “Spectral methods in edge diffraction theories,” J. Opt. Soc. Amer., vol. A9, no. 12, pp. 2192–2205, Dec. 1992.
23. R. Mittra, Y. Rahmat-Samii, and W. L. Ko, “Spectral theory of diffraction,” Appl. Phys., vol. 10, pp. 1–13, 1976.
24. Y. Rahmat-Samii and R. Mittra, “A spectral domain interpretation of high-frequency diffraction phenomena,” IEEE Trans. Antennas Propagat., vol. AP-25, no. 2, pp. 676–687, Sept. 1977.
25. H. Bateman, The Mathematical Analysis of Electrical and Optical Wave Motion on the Basis of Maxwell's Equation. Dover, 1955, pp. 90–94.
26. A. Rubinowicz, “Darstellung der Sommerfeldschen Beugunsgwelle in einer Gestalt, die Beitrage der einzelnen Elemente der beugende Kante zur gesamten Beugungswelle erkennen last,” Acta Phisica Polonica, vol. 28, fasc. 6 (12), 841–860, 1965.
27. J. Meloling, private communication.
28. P. H. Pathak and R. G. Kouyoumjian, “The dyadic diffraction coefficient for a perfectly conducting wedge,”, The Ohio State University ElectroScience Laboratory, Department of Electrical Engineering, Tech. Rep. 5, June 1970. Prepared under Contract No. AF19(628)-5929 for U.S. Airforce.
29. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961, Ch. 3, pp. 113–116.
30. R. F. Harrington, “On scattering by large conducting bodies” IRE Trans. Antennas vol. AP-7, no. 2, 150–153, April 1959.
31. M. Ando, T. Murasaki, and T. Kiroshita, “Elimination of false singularities in GTD equivalent edge currents,” IEE Proc. H, vol. 138, no. 4, 1991.
32. F. B. Sleator, “The disc,” in Electromagnetic and Acoustic Scattering by Simple Shapes, J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Eds. Amsterdam: North-Holland, 1969, Ch. 14, pp. 529–554.
33. M. Idemen, “Diffraction of an obliquely incident high-frequency wave by a cylindrically curved sheet,” IEEE Trans. Antennas Propagat., vol. AP-34, no. 2, 181–187, Feb. 1986.
34. R. Tiberio and R. G. Kouyoumjian, “A uniform GTD solution for the diffraction by strips illuminated at grazing incidence,” Radio Sci., vol. 14, 933–941, 1979.
35. R. Tiberio, G. Manara, G. Pelosi, and R. Kouyoumjian, “High-frequency electromagnetic scattering of plane waves from double wedges,” IEEE Trans. Antennas vol. 37, no. 9, 1172–1180, Sept. 1989.
36. P. C. Clernmow, The Plane Wave Spectrum Representation of Electromagnetic Fields. London: Pergamon, 1966.
37. Y. Rahmat-Samii and R. Mittra, “Spectral analysis of high-frequency diffraction by a half plane—Comparison with four asymptotic techniques,” Radio Sci., vol. 13, pp. 31—48, 1978.
38. R. Tiberio, G. Pelosi, G. Manara, and P. H. Pathak, “High-frequency scattering from a wedge with impedance faces illuminated by a line source. Part I: Diffraction,” IEEE Trans. Antennas Propagat., vol. 37, no. 2, pp. 212–218, Feb. 1989.
39. R. Tiberio, S. Maci, G. Manara, and A. Toccafondi, “An incremental slope diffraction coefficient,” in Proc. 1993 IEEE AP-S and URSI Int. Symp., Ann Arbor, MI, June 1993.
40. R. Tiberio, S. Maci, and A. Toccafondi, “An incremental theory of diffraction for electromagnetic waves,” in Proc. 1993 PIERS, Pasadena, CA, July 1993.