Electromagnetic Scattering From A Dielectric Wedge And The Single Hypersingular Integral Equation

IEEE Transactions on Antennas and Propagation

Volumn 41, Issue 8, 1993, Pages 1001-1008

  Marx, Egon ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNA ARRAYS; COMPUTATIONAL METHODS; DIELECTRIC DEVICES; ELECTROMAGNETIC FIELD MEASUREMENT; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; TRANSFER FUNCTIONS;

DIELECTRIC WEDGE; SINGLE HYPERSINGULAR INTEGRAL EQUATION;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0027646695     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.244640     Document Type: Article

References (17)

1. J. Meixner, “Die Kantenbedingung in der Theorie der Beugurig electro-magnetischer Wellen an vollkommen leitenden ebenen Schirmen,” Ann. Phys., vol. 6, pp. 1–9, 1949.
2. J. Meixner, “The behavior of electromagnetic fields at edges,” IEEE Trans. Antennas Propagat., vol. 20, pp. 442–446, 1972.
3. J. Bach Andersen and V.V. Solodukhov, “Field behavior near a dielectric wedge,” IEEE Trans. Antennas Propagat., vol. 26, pp. 598–602, 1978.
4. G.I. Makarov and A.V. Osipov, “Structure of Meixner's series,” Radio Phys. Quantum Electron., vol. 29, pp. 544–549, 1986.
5. E. Marx, “Logarithmic terms in fields near the edge of a dielectric wedge,” in 1990 IEEE Antennas Propagat. Soc. Int. Symp. Dig., pp. 1083–1086.
6. J. van Bladel, Singular Electromagnetic Fields and Sources. Oxford: Clarendon Press, 1991, pp. 149–155.
7. E. Marx, “Computed fields near the edge of a dielectric wedge,” IEEE Trans. Antennas Propagat., vol. 38, pp. 1438–1442, 1990.
8. B. Beker, “Electromagnetic field behavior near homogeneous anisotropic wedges,” IEEE Trans. Antennas Propagat., vol. 39, pp. 1143–1151, 1991.
9. H.S. Carslaw, “Diffraction of waves by a wedge of any angle,” Proc. London Math. Soc., vol. 18, pp. 291–306, 1920.
10. R.E. Kleinman and P.A. Martin, “On single integral equations for the transmission problem of acoustics,” SIAM J. Appl. Math., vol. 48, pp. 307–325, 1988.
11. E. Marx, “Alternative single integral equation for scattering by a dielectric,” in 1991 IEEE Antennas Propagat. Soc. Int. Symp. Dig., pp. 1635–1638.
12. E. Marx, “The hypersingular integral equation and the dielectric wedge,” in 1992 IEEE Antennas Propagat. Soc. Int. Symp. Dig., pp. 1865–1868.
13. E. Marx, “Numerical evaluation of hypersingular integrals for scattering by a dielectric wedge,” in 1993 IEEE Antennas Propagat. Soc. Int. Symp. Dig., pp. 906–909.
14. W.L. Meyer, W.A. Bell, B.T. Zinn, and M.P. Stallybrass, “Boundary integral solutions of three dimensional acoustic radiation problems,” J. Sound Vib., vol. 59, pp. 245–262, 1978.
15. E. Marx, “Self-patch integrals in transient electromagnetic scattering,” IEEE Trans. Antennas Propagat., vol. 33, pp. 763–767, 1985.
16. E. Marx, “Neighboring-patch integrals in transient electromagnetic scattering,” IEEE Trans. Antennas Propagat., vol. 33, pp. 768–773, 1985.
17. E. Marx, “Electromagnetic pulse scattered by a sphere,” IEEE Trans. Antennas Propagat., vol. 35, pp. 413–417, 1987.