On the evaluation of the double surface integrals arising in the application of the boundary integral method to 3-D problems

IEEE Transactions on Microwave Theory and Techniques

Volumn 45, Issue 3, 1997, Pages 436-439

  Arcioni, Paolo ^a   Bressan, Marco ^a   Perregrini, Luca ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

Boundary integral method; Numerical integration; Potential integrals

Indexed keywords

GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTEGRATION; MATRIX ALGEBRA; NUMERICAL METHODS; THREE DIMENSIONAL; VECTORS;

BOUNDARY INTEGRAL METHOD; GALERKIN METHOD;

ELECTROMAGNETIC FIELD THEORY;

EID: 0031100612     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.563344     Document Type: Article

References (14)

1. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 409-18, May 1982.
2. A. W. Glisson and D. R. Wilton, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 593-603, Sept. 1980.
3. K. Umashankar, A. Taflove, and S. M. Rao, "Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric bodies," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 758-766, June 1986.
4. R. F. Harrington, "Boundary integral formulation for homogeneous material bodies," J. Electromag. Waves Applicat., vol. 3, no. 1, pp. 1-15, 1989.
5. D. H. Schaubert, D. R. Wilton, and A. W. Glisson, "A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies," IEEE Trans. Antennas Propagat., vol. AP-32, pp. 77-85, Jan. 1984.
6. P. Arcioni, M. Bressan, and L. Perregrini, "A new boundary integral approach to the determination of resonant modes of arbitrarily shaped cavities," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 1848-1856, Aug. 1995.
7. M. Bressan and G. Conciauro, "Singularity extraction from the electric Green's function for a spherical resonator," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 407-14, May 1985.
8. J. Van Bladel, Singular Electromagnetic Fields and Sources. Oxford, U.K.: Clarendon Press, 1991.
9. E. E. Okon and R. F. Harrington, "The polarizabilities of electrically small apertures of arbitrary shape," IEEE Trans. Electromag. Compat., vol. EMC-23, pp. 359-366, Nov. 1981.
10. S. M. Rao, A. W. Glisson, D. R. Wilton, and B. S. Vidula, "A simple numerical solution procedure for static problems involving arbitraryshaped surfaces," IEEE Trans. Antennas Propagat., vol. AP-27, pp. 604-608, Sept. 1979.
11. D. R. Wilton, S. M. Rao, A. W. Glisson, D. H. Schaubert, O. M. AlBundak, and C. M. Butler, "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains," IEEE Trans. Antennas Propagat., vol. AP-32, pp. 276-281, Mar. 1984.
12. R. D. Graglia, "On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle," IEEE Trans. Antennas Propagat., vol. 41, pp. 1448-1455, Oct. 1993.
13. Numerical Algorithms Group, in NAG Library Manual. Oxford, U.K.: Mayfield House, 1983.
14. S. Caorsi, D. Moreno, and S. Sidoti, "Theoretical and numerical treatment of surface integrals involving the free-space Green's function," IEEE Trans. Antennas Propagat., vol. 41, pp. 1296-1301, Sept. 1993.