Confluent tip singularity of the electromagnetic field at the apex of a material cone

Wave Motion

Volumn 38, Issue 3, 2003, Pages 251-277

  Idemen, Mithat ^a  

^a ISIK UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; CONES; FUNCTIONS;

TIP SINGULARITY;

ELECTROMAGNETIC FIELDS;

ELECTROMAGNETIC FIELD;

EID: 0043065338     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(03)00059-3     Document Type: Article

References (22)

1. L.B. Felsen, N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall, New Jersey, 1973.
2. van Bladel J.Field singularity at the tip of a dielectric cone IEEE Trans. Antennas Propag. AP-33 1985 893-894
3. Olyslager F.Overview of the singular behaviour of electromagnetic fields at edge and tips in bi-isotropic and special bianisotropic media Radio Sci. 30 1995 1349-1354
4. Jones D.S.Scattering by a cone Quart. J. Mech. Appl. Math. 50 1997 499-523
5. Bernard J.M.L.Lyalinov M.A.Diffraction of scalar waves by an impedance cone of arbitrary cross-section Wave Motion 33 2001 155-181
6. R.F. Harrington, Time-harmonic Electromagnetic Fields, McGraw-Hill, New York, 1961.
7. D.S. Jones, The Theory of Electromagnetism, Pergamon Press, New York, 1964.
8. Jones D.S.The Kontotovich-Lebedev transform J. Inst. Math. Appl. 26 1980 133-141
9. I.H. Sneddon, The Use of Integral Transforms, McGraw-Hill, New York, 1972.
10. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1994.
11. G.K. Carrier, M. Krook, C.E. Pearson, Functions of a Complex Variable, McGraw-Hill, New York, 1966.
12. Idemen M.Universal boundary conditions for the electromagnetic field J. Phys. Soc. Jpn. 59 1990 71-80
13. 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.
14. Senior T.B.A.Combined resistive and conductive sheets IEEE Trans. Antennas Propag. AP-33 1985 577-579
15. Idemen M.Necessary and sufficient conditions for a surface to be an impedance boundary AEÜ Bd.352 1981 84-86
16. Idemen M.Confluent edge conditions for the electromagnetic wave at the edge of a wedge bounded by material sheets Wave Motion 32 2000 37-55
17. Leppington F.G.Travelling waves in a dielectric slab with an abrupt change in thickness Proc. Roy. Soc. (Lond.) A 386 1983 443-460
18. Rawlins A.D.Meister E.Speck F.O.Diffraction by an acoustically transmissive or an electromagnetically dielectric half plane Math. Meth. Appl. Sci. 14 1991 387-402
19. Idemen M.Akduman I.Some geometrical inverse problems connected with two-dimensional static problems SIAM J. Appl. Math. 483 1988 703-718
20. Idemen M.The Maxwell's equations in the sense of distributions IEEE Trans. Antennas Propag. 21 1973 736-738
21. K. Yoshida, Functional Analysis, Springer, Berlin, 1966, p. 90.
22. W.I. Smirnov, Lehrgang der Höheren Mathematik, Veb Deutscher Verlag der Wissenschaften, Berlin, 1959.