On the choice of basis functions to model surface electric current densities in computational electromagnetics

Radio Science

Volumn 34, Issue 6, 1999, Pages 1373-1387

  Gürel, Levent ^a   Sertel, Kubilay ^a,b   Şendur, Ibrahim Kürşat ^a,c  

^a BILKENT UNIVERSITY   (Turkey)

^b UNIVERSITY OF MICHIGAN   (United States)

^c Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CURRENT DENSITY; FUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; CHARGE DISTRIBUTION; ELECTRIC FIELDS; TOPOLOGY;

COMPUTATIONAL ELECTROMAGNETICS; CURRENT BASIS FUNCTIONS;

ELECTROMAGNETIC FIELD THEORY; COMPUTATIONAL ELECTROMAGNETICS;

BASIS FUNCTIONS; CLOSED SURFACES; CORRECT SOLUTION; CURRENT DISTRIBUTION; ELECTRIC FIELD INTEGRAL EQUATION; ELECTROMAGNETIC PROBLEMS; PROPER MODELING; TOPOLOGICAL PROPERTIES;

EID: 0343517708     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999RS900008     Document Type: Article

References (31)

1. Aberegg, K. R., A. Taguchi, and A. F. Peterson, Application of higher-order vector basis functions to surface integral equation formulations, Radio Sci., 31(5), 1207-1213, 1996.
2. Aksun, M. I., and R. Mittra, Choices of expansion and testing functions for the method of moments applied to a class of electromagnetic problems, IEEE Trans. Microwave Theory Tech., MTT-41(3), 503-509, 1993.
3. Andersson, T., Moment-method calculations of scattering by a square plate using singular basis functions and multipole expansions, J. Electromagn. Waves Appl., 7(1), 93-121, 1993.
4. Canning, F. X., Improved impedance matrix localization method, IEEE Trans. Antennas Propag., AP-41(5), 659-667, 1993.
5. Chew, W. C., L. Gürel, Y. M. Wang, G. Otto, R. Wagner, and Q. H. Liu, A generalized recursive algorithm for wave-scattering solutions in two dimensions, IEEE Trans. Microwave Theory Tech., MTT-40(4), 716-723, 1992.
6. Coifman, R., V. Rokhlin, and S. Wandzura, The fast multipole method for the wave equation: A pedestrian prescription, IEEE Antennas Propag. Mag., 55(3), 7-12, 1993.
7. Glisson, A. W., and D. R. Wilton, Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces, IEEE Trans. Antennas Propag., AP-28(5), 593-603, 1980
8. Graglia, R. D., D. R. Wilton, and A. F. Peterson, Higher order interpolatory vector bases for computational electromagnetics, IEEE Trans. Antennas Propag., AP-45(3), 329-342, 1997.
9. Gürel, L., and M. I. Aksun, Electromagnetic scattering solution of conducting strips in layered media using the fast multipole method, IEEE Microwave Guided Wave Lett., 6(8), 277-279, 1996.
10. Gürel L., and W. C. Chew, Recursive T-matrix algorithms with reduced complexities for scattering from three-dimensional patch geometries, IEEE Trans. Antennas Propag., AP-41(1), 91-99, 1993.
11. Harrington R. F., Field Computation by Moment Methods, Krieger, Melbourne, Fla., 1982.
12. Houshmand, B., W. C. Chew, and S. W. Lee, Fourier transform of a linear distribution with triangular support and its application in electromagnetics, IEEE Trans. Antennas Propag., AP-39(2), 252-254, 1991.
13. Jakobus, U., and F. M. Landstorfer, Novel basis function for the equivalent magnetic current in the method of moments solution of dielectric scattering problems, Electron. Lett., 29(14), 1272-1273, 1993.
14. Kim, H., H. Ling, and C. Lee, A fast moment method algorithm using spectral domain wavelet concepts, Radio Sci.31(5), 1253-1261, 1996.
15. Kolundžija, B.M., and B. D. Popović, Entire-domain Galerkin method for analysis of metallic antennas and scatterers, IEE Proc., Part H, 140(1), 1-10, 1993.
16. Lu, C. C., and W. C. Chew, Fast algorithm for solving hybrid integral equations, IEE Proc., Part H, 140(6), 455-460, 1993.
17. Miller, E. K., L. Medgyesi-Mitschang, and E. H. Newman (Eds.), Computational Electromagnetics, Inst. of Electr. and Electron. Eng., New York, 1992.
18. Mortenson, M. E., Geometric Modeling, John Wiley, New York, 1985.
19. Peterson, A. F., and K. R. Aberegg, Parametric mapping of vector basis functions for surface integral equation formulations, Appl. Comput. Electromagn. Soc. J., 10(3), 107-115, 1995.
20. Rao, S. M., D. R. Wilton, and A. W. Glisson, Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans. Antennas Propag., AP-30(5), 409-418, 1982.
21. Richmond, J. H., On the variational aspects of the moment method, IEEE Trans. Antennas Propag., AP-39(4), 473-479, 1991.
22. Rokhlin, V., Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 86(2), 414-439, 1990.
23. Rubin, B. J., and S. Daijavad, Radiation and scattering from structures involving finite-size dielectric regions, IEEE Trans. Antennas Propag., AP-38(11), 1863-1873, 1990.
24. Sarkar, T. K., A note on the choice of weighting functions in the method of moments, IEEE Trans. Antennas Propag., AP-33(4), 436-441, 1985.
25. Sarkar, T. K., From "reaction concept" to "conjugate gradient": Have we made any progress?, IEEE Antennas Propag. Soc. Newsl., 31, pp. 6-12, Aug. 1989.
26. Sarkar, T. K., A. R. Djordjević, and E. Arvas, On the choice of expansion and weighting functions in the numerical solution of operator equations, IEEE Trans. Antennas Propag., AP-33(9), 988-996, 1985.
27. Sarkar, T. K., S. M. Rao, and A. R. Djordjević, Electromagnetic scattering and radiation from finite microstrip structures, IEEE Trans. Microwave Theory Tech., MTT-38(11), 1568-1575, 1990.
28. Sercu, J., N. Faché, and P. Lagasse, First-order rooftop functions for the current discretisation in the method of moments solution of planar structures, in Proceedings of the IEEE Antennas Propagat. Society International Symposium, pp. 2170-2173, Inst. of Electr. and Electron. Eng., New York, 1994.
29. Song, J. M., and W. C. Chew, Moment method solutions using parametric geometry, J. Electromagn. Waves Appl., 9(1/2), 71-83, 1995.
30. Valle, L., F. Rivas, and M. F. Cátedra, Combining the moment method with geometrical modelling by NURBS surfaces and Bézier patches, IEEE Trans. Antennas Propag., AP-38(3), 373-381, 1994.
31. Wandzura, S., Electric current basis functions for curved surfaces, Electromagnetics, 12, 77-91, 1992.