A simple nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Volumn 16, Issue 2, 2003, Pages 179-194

  Burghignoli, P ^a   Di Nallo, C ^a   Frezza, F ^a   Galli, A ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

3D conducting and dielectric structures; Boundary integral equations; Numerical techniques for electromagnetics; Nystr m method; Singularity reduction

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; ELECTROMAGNETISM; INTEGRAL EQUATIONS; LINEAR SYSTEMS;

DIELECTRIC STRUCTURES;

DIELECTRIC MATERIALS;

EID: 0037343280     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/jnm.495     Document Type: Article

References (20)

1. Sorrentino R (ed.). Numerical Methods for Passive Microwave and Millimeter Wave Structures. IEEE Press: New York, 1989.
2. Morita N, Kumagai N, Mautz JR. Integral Equation Methods for Electromagnetics, Chapters 3 and 4. Artech House: Norwood, 1987.
3. Harrington RF. Boundary integral formulations for homogeneous material bodies. Journal of Electromagnetic Waves and Applications 1989; 3:1-15.
4. Wang J. Generalised Moment Methods in Electromagnetics: Formulation and Computer Solution. Wiley: New York, 1987.
5. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in Fortran (2nd edn), Chapters 4 and 18. Cambridge University Press: Cambridge, MA, 1992.
6. Kress R. Numerical solution of boundary integral equations in time-harmonic electromagnetic scattering. Electromagnetics 1990; 10:1-20.
7. Kot JS. Solution of thin-wire integral equations by Nyström methods. Microwave and Optical Technology Letters 1990; 3:393-396.
8. Canino LF, Ottusch JJ, Stalzer MA, Visher JL, Wandzura SM. Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization. Journal of Computational Physics 1998; 146:627-663.
9. Gedney SD. High-order Nyström solution of the EFIE in 3D for structures with edge singularities. 1999 USNC: URSI National Radio Science Meeting, Orlando, July 1999; 244.
10. Di Nallo C, Frezza F, Galli A. Full-wave modal analysis of arbitrarily-shaped dielectric waveguides through an efficient boundary-element-method formulation. IEEE Transactions on Microwave Theory and Techniques 1995; 43:2982-2990.
11. Di Nallo C, Frezza F, Galli A. A BEM formulation for efficient and accurate analysis of dielectric waveguiding structures: extension to multiboundary topologies. International Journal of Radio Frequency and Microwave Computer-Aided Engineering 1998; 8:355-366.
12. Ottusch JJ, Visher JL, Wandzura SM. A fast, high-order RCS code for targets containing penetrable, absorbing materials. PIERS Proceedings Cambridge. July 2000; 137.
13. Burghignoli P, Di Nallo C, Frezza F. Galli A. Analysis of the scattering and radiation features of 3D arbitrarily shaped conducting and dielectric bodies based on a novel boundary integral equation approach. IEEE 2000 AP-S International Symposium, Salt Lake City, July 2000; 1822-1825.
14. Stroud AH. Approximate Calculation of Multiple Integrals. Prentice-Hall: Englewood Cliffs, NJ, 1971; 314.
15. Müller C. Foundations of the Mathematical Theory of Electromagnetic Waves. Springer: Berlin, 1969; Section 23.
16. Song J, Lu CC, Chew WC. Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects. IEEE Transactions on Antennas and Propagation 1997; 45:1488-1493.
17. Jurgens TG, Taflove A. Three-Dimensional contour FDTD modeling of scattering from single and multiple bodies. IEEE Transactions on Antennas and Propagation 1993: 41:1703-1708.
18. Cote MG, Woodworth MB, Yaghjian AD. Scattering from the perfectly conducting cube. IEEE Transactions on Antennas and Propagation 1988; 36:1321-1329.
19. Collin RE. Field Theory of Guided Waves, Chapter 6. IEEE Press: Piscataway, 1991.
20. Graglia RD. On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle. IEEE Transactions on Antennas and Propagation 1993; 41:1448-1455.