Higher order hierarchical discretization scheme for surface integral equations for layered media

IEEE Transactions on Geoscience and Remote Sensing

Volumn 42, Issue 4, 2004, Pages 764-772

  Jørgensen, Erik ^a,b   Kim, Oleksiy S ^a   Meincke, Peter ^a   Breinbjerg, Olav ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b TICRA   (Denmark)

Author keywords

Combined field integral equation (CFIE); Electro magnetic scattering; Higher order hierarchical vector basis functions; Layered media; Legendre polynomial; Method of moments (MoM); Perfectly conducting (PEC) object

Indexed keywords

CURRENT DENSITY; ELECTROMAGNETIC WAVE SCATTERING; FREQUENCIES; GREEN'S FUNCTION; INTEGRAL EQUATIONS; METHOD OF MOMENTS; POLYNOMIALS; VECTORS;

COMBINED-FIELD INTEGRAL EQUATIONS (CFIE); HIGHER ORDER HIERARCHICAL VECTOR BASIS FUNCTIONS; LAYERED MEDIA; LEGENDRE POLYNOMIALS (LP); PERFECTLY CONDUCTING (PEC) OBJECTS;

REMOTE SENSING;

EID: 2442699180     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2003.819881     Document Type: Article

References (33)

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. 409-418, 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. J. R. Mosig and F. E. Gardiol, "General integral equation formulation for microstrip antennas and scatterers," Proc. Inst. Elect. Eng. H, vol. 132, no. 7, pp. 424-432, Dec. 1985.
4. K. A. Michalski and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. Part I: Theory," IEEE Trans. Antennas Propagat., vol. 38, pp. 335-344, Mar. 1990.
5. J. Chen, A. A. Kishk, and A. W. Glisson, "Application of a new MPIE formulation to the analysis of a dielectric resonator embedded in a multilayered medium coupled to a microstrip circuit," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 263-279, Feb. 2001.
6. F. Ling, J. Liu, and J.-M. Jin, "Efficient electromagnetic modeling of three-dimensional multilayer microstrip antennas and circuits," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 1628-1635, June 2002.
7. B. D. Popović and D. Ž. Djurdjević, "Entire-domain analysis of thin-wire antennas near or in lossy ground," Proc. Inst. Elect. Eng., Microwave Antennas Propagat., vol. 142, no. 3, pp. 213-219, June 1995.
8. W. Cai, T. Yu, H. Wang, and Y. Yu, "High-order mixed RWG basis functions for electromagnetic applications," IEEE Trans. Microwave Theory Tech., vol. 49, pp. 1295-1303, July 2001.
9. 3," Numer. Math., vol. 35, no. 3, pp. 315-341, 1980.
10. E. Jørgensen, J. L. Volakis, P. Meincke, and O. Breinbjerg, "Higher-order hierarchical Legendre basis functions for iterative integral equation solvers with curvilinear surface modeling," Proc. IEEE Antennas Propagation Society Int. Symp., vol. 4, pp. 618-621, June 2002.
11. B. M. Kolundžija and B. D. Popović, "Entire-domain galerkin method for analysis of metallic antennas and scatterers," Proc. Inst. Elect. Eng. H, vol. 140, no. 1, pp. 1-10, Feb. 1993.
12. A. A. K. Mohsen and A. K. Abdelmageed, "Magnetic field integral equation for electromagnetic scattering by conducting bodies of revolution in layered media," Progr. Electromagn. Res., vol. 24, pp. 19-37, 1999.
13. A. J. Poggio and E. K. Miller, "Integral equation solutions of three-dimensional scattering problems," in Computer Techniques far Electro-magnetics, R. Mittra, Ed. New York: Pergamon, 1973, pp. 159-264.
14. K. A. Michalski, "The mixed-potential electric field integral equation for objects in layered media," Arch. Elekt. Übertragung., vol. 39, pp. 317-322, Sept.-Oct. 1985.
15. K. A. Michalski and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE Trans. Antennas Propagat., vol. 45, pp. 508-519, Mar. 1997.
16. K. A. Michalski, "On the efficient evaluation of integrals arising in the Sommerfeld halfspace problem," in Proc. Inst. Elec. Eng. H, vol. 132, Aug. 1985, pp. 312-318.
17. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick microstrip substrate," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 588-592, Mar. 1991.
18. J. J. Yang, Y. L. Chow, and D. G. Fang, "Discrete complex images of a three-dimensional dipole above and within a lossy ground," Proc. Inst. Elect. Eng. H, vol. 138, no. 4, pp. 319-326, Aug. 1991.
19. N. Hojjat, S. Safavi-Naeini, and Y. L. Chow, "Numerical computation of complex image Green's functions for multilayer dielectric media: Near-field zone and the interface region," Proc. Inst. Elect. Eng. - Microwave Antennas Propagat., vol. 145, no. 6, pp. 449-454, Dec. 1998.
20. M. I. Aksun and R. Mittra, "Derivation of closed-form Green's functions for a general microstrip geometry," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 2055-2062, Nov. 1992.
21. G. Dural and M. I. Aksun, "Closed-form Green's functions for general sources and stratified media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 1545-1552, July 1995.
22. M. I. Aksun, "A robust approach for the derivation of closed-form Green's functions," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 651-658, May 1996.
23. Y. Hua and T. K. Sarkar, "Generalized pencil-of-function method for extracting poles of an EM system from its transient response," IEEE Trans. Antennas Propagat., vol. 37, pp. 229-234, Feb. 1989.
24. N. Kinayman and M. I. Aksun, "Efficient use of closed-form Green's functions for the analysis of planar geometries with vertical connections," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 593-603, May 1997.
25. Y. Liu, L.-W. Li, T.-S. Yeo, and M.-S. Leong, "Application of DCIM to MPIE-MoM analysis of 3D PEC objects in multilayered media," IEEE Trans. Antennas Propagat., vol. 50, pp. 157-162, Feb. 2002.
26. D. R. Wilton, S. M. Rao, A. W. Glisson, D. H. Schaubert, O. M. Al-Bundak, and C. M. Butler, "Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains," IEEE Trans. Antennas and Propagation, vol. AP-32, pp. 276-281, Mar. 1984.
27. K. Sertel and J. L. Volakis, "Method of moments solution of volume integral equations using parametric geometry," Radio Sci., vol. 37, no. 1, pp. 1-7, Jan.-Feb. 2002.
28. M. G. Duffy, "Quadrature over a pyramid or cube of integrands with a singularity at a vertex," SIAM J. Numer. Anal., vol. 19, no. 6, pp. 1260-1262, Dec. 1982.
29. W. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt., vol. 19, pp. 1505-1509, 1980.
30. K. C. Donepudi, J.-M. Jin, S. Velamparambil, J. Song, and W. C. Chew, "A higher order parallelized multilevel fast multipole algorithm for 3-D scattering," IEEE Trans. Antennas Propagat., vol. 49, pp. 1069-1078, July 2001.
31. N. Geng, A. Sullivan, and L. Carin, "Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half space," IEEE Trans. Geosci. Remote Sensing, vol. 38, pp. 1561-1573, July 2000.
32. _, "Fast multipole method for scattering from an arbitrary PEC target above or buried in a lossy half space," IEEE Trans. Antennas Propagat., vol. 49, pp. 740-748, May 2001.
33. Y. Saad, Iterative Methods for Sparse Linear Systems, 1st ed. Boston, MA: PWS, 1996. See http://www-users.cs.umn.edu/~saad/books.html.