Image Solution for Poisson's Equation in Wedge Geometry

IEEE Transactions on Antennas and Propagation

Volumn 43, Issue 2, 1995, Pages 179-187

  Nikoskinen, K I ^a   Lindell, I V ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; DIELECTRIC MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; STATISTICAL METHODS;

ELEMENTARY FUNCTIONS; IMAGE SOLUTION; POISSON'S EQUATION; WEDGE GEOMETRY;

IMAGE PROCESSING;

EID: 0029253537     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.366380     Document Type: Article

References (19)

1. E. Marx, “Electromagnetic scattering from a dielectric wedge and the hypersingular integral equation,” IEEE Trans. Antennas Propagat., vol. 41, no. 8, 1993.
2. R. W. Scharstein, “Mellin transform solution for the static line charge excitation of a dielectric wedge,” IEEE Trans. Antennas Propagat., vol. 41, no. 12, 1993.
3. K. I. Nikoskinen, I. V. Lindell, and M. E. Ermutlu, “Transient image theory for 2D and 3D conducting wedge problems,” IEEE Trans. Antennas Propagat., to be published.
4. I. V. Lindell, M. E. Ermutlu, and K. I. Nikoskinen, “Two-dimensional image theory for the conducting half plane,” JEWA, vol. 7, no. 2, pp. 179-196, 1993.
5. M. E. Ermutlu, I. V. Lindell, and K. I. Nikoskinen, “Two-dimensional image theory for the conducting wedge,” JEWA, vol. 7, no. 7, pp. 971-986, 1993.
6. K. I. Nikoskinen, I. V. Lindell, and M. E. Ermutlu, “Transient analysis of conducting half-plane problem with noncausal scattering image,” Microwave Opt. Technol. Lett., vol. 7, no. 1, pp. 31-35, 1994.
7. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of Integral Transforms, Vol. II. New York: McGraw-Hill, 1954.
8. G. A. Campbell and R. M. Foster, Fourier Integrals for Practical Applications. New York: D. Van Nostrand, 1948.
9. H. S. Carslaw, “Some multiform solutions of the partial differential equations of physical mathematics and their applications,” Proc. London Math. Soc., vol. 30, pp. 121-161, 1899.
10. “Diffraction of waves by a wedge of any angle,” Proc. London Math. Soc., vol. 18, pp. 291-306, 1920.
11. H. M. Macdonald, Electric Waves. Cambridge, MA: Cambridge University Press, 1902.
12. J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes. Amsterdam: North-Holland, 1969, pp. 252-283.
13. C. A. Balanis, Antenna Theory: Analysis and Design. New York: Harper and Row, 1982, pp. 594-603.
14. W. R. Smythe, Static and Dynamic Electricity. New York: McGraw-Hill, 1968, pp. 70-72.
15. F. S. Grant and G. F. West, Interpretation Theory in Applied Geophysics. New York: McGraw-Hill, 1965, pp. 520-525.
16. S. E. Hjelt, “On the half-plane model in double-dipole electromagnetic prospecting,” Acta Polytechnica Scandinavica, Ph. 60, 1968.
17. A. Sommerfeld, “Uber verzweigte Potentiale im Raum,” London Math. Soc. Proc., vol. 28, pp. 395-429, 1897.
18. J. P. Wesley, “Response of dyke to oscillating dipole,” Geophysics, vol. 23, no. 1, pp. 128-133, 1958.
19. J. Van Bladel, Singular Electromagnetic Fields and Sources. Oxford: Clarendon, 1991, pp. 116-162.