Confluent edge conditions for the electromagnetic wave at the edge of a wedge bounded by material sheets

Wave Motion

Volumn 32, Issue 1, 2000, Pages 37-55

  Idemen, Mithat ^a  

^a ISIK UNIVERSITY   (Turkey)

Author keywords

Edge conditions; Field singularity; Wedge

Indexed keywords

EID: 0005186395     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(99)00034-7     Document Type: Article

References (27)

1. Bouwkamp C.J. A note on singularities occuring at sharp edges in electromagnetic diffraction theory. Physica. 12:1946;467-475.
2. Meixner J. Die Kantenbedingung in der Theorie der Beugung Elektromagnetischer Wellen an vollkommen leitenden ebenen Schirmen. Ann. Phys. 6:1949;2-9.
3. Braunbek W. On the diffraction field near a plane-screen corner. IRE Trans. Antennas Propagation. AP-4:1956;219-223.
4. Poincelot P. Généralisation de la condition aux arêtes dans le cas d'une courbe gauche. C.R. Acad. Sci. Paris. 251:1960;2670-2671.
5. R.A. Hurd, On the possibility of intrinsic loss occurring at the edges of ferrites, Can. J. Phys. 40 (1962) 1067-1076.
6. Hurd R.A. Intrinsic loss at the edges of anisotropic plasmas. Can. J. Phys. 41:1963;1554-1562.
7. Mittra R., Lee S.W. Edge condition and intrinsic loss in uniaxial plasma. Can. J. Phys. 46:1968;111-120.
8. R. Mittra, S.W. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, New York, 1971.
9. Meixner J. The behavior of electromagnetic fields at edges. IEEE Trans. Antennas Propagation. AP-20:1972;442-446.
10. K.C. Lang, Edge condition of a perfectly conducting wedge with its exterior region divided by a resistive sheet, IEEE Trans. Antennas Propagation (1973) 237-238.
11. R.A. Hurd, The edge condition in electromagnetics, IEEE Trans. Antennas Propagation (1976) 70-73.
12. Andersen J.B., Solodukhov V.V. Field behavior near a dielectric wedge. IEEE Trans. Antennas Propagation. AP-26:1978;598-602.
13. Hurd R.A. On Meixner's edge condition for dielectric wedges. Can. J. Phys. 55:1977;1970-1971.
14. Braver I.M., Fridberg P.S., Garb K.L., Yakover I.M. The behavior of the electromagnetic field near the edge of resistive half-plane. IEEE Trans. Antennas Propagation. AP-36:1988;1760-1768.
15. Bladel J.V. Field singularities at metal-dielectric wedge. IEEE Trans. Antennas Propagation. AP-33:1985;450-455.
16. D.S. Jones, The Theory of Electromagnetism, Pergamon Press, London,1964, p. 567.
17. Maue A.W. Zur Formulierung eines allgemeinen Beugungsproblems durch eine Integralgleichung. Z. Phys. 126:1949;601.
18. Jones D.S. Note on diffraction by an edge. Quart. J. Mech. 3:1950;420-434.
19. M. Idemen, Universal boundary conditions and Cauchy data for the electromagnetic field, in: A. Lakhtakia (Ed.), Essays on the Formal Aspects of Electromagnetic Theory, World Scientific, New Jersey, 1993, pp. 657-698.
20. Idemen M. Universal boundary relations of the electromagnetic field. J. Phys. Soc. Jpn. 59:1990;71-80.
21. E.C. Titchmarsh, Eigenfunction Expansions, Oxford University/Clarendon Press, Oxford, 1962.
22. R.F. Harrington, Time-harmonic Electromagnetic Field, McGraw-Hill, New York, 1961, pp. 199-202.
23. E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, Cambridge University Press, Cambridge, 1958, pp. 358 and 372.
24. Senior T.B.A. Combined resistive and conductive sheets. IEEE Trans. Antennas Propagation. AP-33:1985;577-579.
25. Leppington F.G. Travelling waves in a dielectric slab with an abrupt change in thickness. Proc. Roy. Soc. (London). 386/A:1983;443-460.
26. Chakrabarti A. Diffraction by a dielectric half-plane. IEEE Trans. Antennas Propagation. AP-34:1986;830-833.
27. Volakis J.L., Senior T.B.A. Diffraction by a thin dielectric half-plane. IEEE Trans. Antennas Propagation. AP-35:1987;1483-1487.