ITD formulation for the currents on a plane angular sector

IEEE Transactions on Antennas and Propagation

Volumn 46, Issue 9, 1998, Pages 1318-1327

  Maci, Stefano ^a   Albani, Matteo ^b   Capolino, Filippo ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF SIENA   (Italy)

Author keywords

Geometrical theory of diffraction; High frequency techniques; Incremental theory of diffraction; Physical optics

Indexed keywords

ELECTROMAGNETIC WAVE SCATTERING; GEOMETRICAL OPTICS; INDUCED CURRENTS; METHOD OF MOMENTS;

DOUBLY DIFFRACTED (DD) RAYS; INCREMENTAL THEORY OF DIFFRACTION (ITD); PHYSICAL OPTICS (PO);

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 0032164767     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.719975     Document Type: Article

References (28)

1. J. B. Keller, Geometrical theory of diffraction, J. Opt. Soc. Amer., vol. 52, pp. 116-130, 1962.
2. 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. 1448-1461nov. 1974.
3. P. Y. Ufimtsev, Method of edge waves in the physical theory of diffraction, transi, by U.S. Air Force Foreign Technol. Div., Wright- Patterson AFB, OH, 1971.
4. Elementary edge waves and the physical theory of diffraction, Electromagn., vol. 11, no. 2, pp. 125-159apr.-June 1991.
5. J. Radlow, Note on the diffraction at a corner, Arch. Rational. Mech., Anal, vol. 19, pp. 62-70.
6. N. C. Albertsen, Diffraction by a quarterplane from a half-wave dipole, Proc. Inst. Elect. Eng., vol. 144, pt. H, no. 3, pp. 191-196june 1997.
7. R. S. Satterwhite and R. G. Kouyoumjian, Electromagnetic diffraction by a perfectly conducting plane angular sector, Tech. Rep. 2183-2, ElectroScience Laboratory, The Ohio State Univ., under Contract AF19(628)-5929 for Air Force Cambridge Res. Labs., Bedford, MA, 1970.
8. R. S. Satterwhite, Diffraction by a quarter plane, the exact solution and some numerical results, IEEE Trans. Antennas Propagat., vol. AP-22, no. 3, pp. 500-503mar. 1974.
9. T. B. Hansen, Diffraction by a plane angular sector, a new derivation, IEEE Trans. Antennas Propagat., vol. AP-38, pp. 1892-1894nov. 1990.
10. V. P. Smyshlyaev, Diffraction by conical surfaces at high-frequency, Wave Motion, vol. 12, pp. 329-339, 1990.
11. The high-frequency diffraction of electromagnetic waves bycones of arbitrary cross-section, Soc. Indust. Appl. Math., vol. 53, no. 3, pp. 670-688, 1993.
12. T. J. Brinkley and R. J. Marhefka, Current near the vertex of perfectlyconducting angular sector, IEEE Trans. Antennas Propagat., to be published.
13. T. B. Hansen, Corner diffraction coefficients for the quarter plane, IEEE Trans. Antennas Propagat., vol. 39, pp. 976-984july 1991.
14. K. H. Hill, A UTD solution to the EM scattering by the vertex of a perfectly conducting plane angular sector, Ph.D. dissertation, Dept. Elect. Eng., The Ohio State Univ., Columbus, OH, 1990.
15. L. P. Ivrissimtzis and R. J. Marhefka, Double diffraction at a coplanar skewed edge configuration, Radio Sei., vol. 26, pp. 821-830, 1991.
16. F. Capolino, M. Albani, S. Maci, and R. Tiberio, Diffraction from a couple of coplanar, skew wedges, IEEE Trans. Antennas Propagat., vol. 45, pp. 1219-1226Aug. 1997.
17. M. Albani, F. Capolino, S. Maci, and R. Tiberio, Diffraction at a thick screen including corrugations on the top face, IEEE Trans. Antennas Propagat., vol. 45, pp. 277-283, Feb. 1997.
18. L. P. Ivrissimtzis and R. J. Marhefka, A uniform ray approximation of the scattering by polyhedral structures including higher terms, IEEE Trans. Antennas Propagat., vol. 40, pp. 1302-1312nov. 1992.
19. O. Breinbjerg, Higher order equivalent edge currents for fringe wave radar scattering by perfectly conducting polygonal plates, IEEE Trans. Antennas Propagat., vol. 40, pp. 1543-1554dec. 1992.
20. S. Maci, R. Tiberio, and A. Toccafondi, Diffraction at a plane angular sector,/ Electromagn. WaveApplicat, vol. 8, no. 9/10, pp. 1247-1276sept. 1994.
21. F. Capolino and S. Maci, Uniform high-frequency description of singly, doubly, and vertex diffracted rays for a plane angular sector, J. Electromagn. Wave Applicat., vol. 10, no. 9, pp. 1175-1197oct. 1996.
22. Simplified, closed-form expressions for computing the generalized Fresnel integral and their application to vertex diffraction, Microwave Opt. Tech. Lett., vol. 9, no. 1, pp. 32-37may 1995.
23. R. Tiberio and S. Maci, Incremental theory of diffraction, scalar formulation, IEEE Trans. Antennas Propagat., vol. 42, pp. 600-612may 1994.
24. R. Tiberio, S. Maci, and A. Toccafondi, Incremental theory of diffraction, electromagnetic formulation, IEEE Trans. Antennas Propagat., vol. 43, pp. 87-96Jann. 1995.
25. S. Maci, R. Tiberio, and A. Toccafondi, Incremental diffraction coefficients for source and observation at finite distance from an edge, IEEE Trans. Antennas Propagat., vol. 44, pp. 593-599may 1996.
26. M. Born and E. Wolf, Principles of Optics Third, revised ed. Oxford, U.K.: Pergamon, 1965.
27. L. P. Ivrissimtzis and R. J. Marhefka, Edge wave vertex and edge diffraction, Radio Sei., vol. 24, no. 6, pp. 771-784, 1989.
28. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. San Diego, CA: Academic, 1980, p. 649.