Green's function for arbitrarily shaped dielectric bodies of revolution
- 74 Downloads
In this paper, a solution is developed to calculate the electric field at one point in space due to an electric dipole exciting an arbitrarily shaped dielectric body of revolution (BOR). Specifically, the electric field is determined from the solution of coupled surface integral equations (SIE) for the induced surface electric and magnetic currents on the dielectric body excited by an elementary electric current dipole source. Both the interior and exterior fields to the dielectric BOR may be accurately evaluated via this approach. For a highly lossy dielectric body, the numerical Green's function is also obtainable from an approximate integral equation (AIE) based on a surface boundary condition. If this equation is solved by the method of moments, significant numerical efficiency over SIE is realized. Numerical results obtained by both SIE and AIE approaches agree with the exact solution for the special case of a dielectric sphere. With this numerical Green's function, the complicated radiation and scattering problems in the presence of an arbitrarily shaped dielectric BOR are readily solvable by the method of moments.
KeywordsRadiation Exact Solution Electric Dipole Surface Boundary Scattering Problem
Unable to display preview. Download preview PDF.
- 1.R.F. Harrington and J.R. Mautz, "Green's functions for surfaces of revolution,"Radio Science, Vol. 7, No. 5, pp. 603–611, May 1972.Google Scholar
- 2.T.K. Wu, "Electromagnetic fields and power deposition in body-of-revolution models of man,"IEEE Trans., vol. MTT-27, no. 3, pp. 279–283, March 1979.Google Scholar
- 3.T.B.A. Senior, "Impedance Boundary Conditions for Imperfectly Conducting Surfaces,"Appl. Sci. Res., B-8, pp 418–436, 1960.Google Scholar
- 4.T.K. Wu and L.L. Tsai, "Scattering from Arbitrarily-Shaped Lossy Dielectric Bodies of Revolution,"Radio Science, vol. 12, no. 5, pp. 709–718, October, 1977.Google Scholar
- 6.J.A. Stratton,Electromagnetic Theory, pp. 406–414, McGraw-Hill, New York, 1941.Google Scholar
- 7.N.G. Alexopoulos and G.A. Tadler, "Accuracy of the Leontovich Boundary Condition for Continuous and Discontinuous Surface Impedances,"Journal of Appl. Physics, Vol. 46, No. 8, pp. 3326–3332, August 1975.Google Scholar
- 8.M.A. Leontovich,Diffraction, Refraction, and Reflection of Radio Waves, edited by V.A. Fock, N. Logan, and P. Blacksmith (U.S. GPO, Washington, D.C., 1957), Appendix.Google Scholar
- 9.D.K. Bowman, T.B.A. Senior, and P.L.E. Uslenghi,Electromagnetic and Acoustic Scattering by Simple Shapes, North Holland Publishing, 1969.Google Scholar
- 10.L.L. Tsai, T.K. Wu, D.R. Wilton, and C.M. Butler, "Scattering by composite dielectric and metal objects of arbitrary shape," National Conference on Electromagnetic Scattering, Chicago IL, June 1976.Google Scholar
- 11.A. Kumar,Fixed and Mobile Terminal Antennas, Artech House, 1991.Google Scholar