Volumetric MLFMA formulation for dielectric targets in the presence of a half-space

Radio Science

Volumn 39, Issue 2, 2004, Pages

  Dong, Xiaolong ^a   Liu, Zhijun ^a   Carin, Lawrence ^a  

^a Duke University   (United States)

Author keywords

Integral equation; Scattering

Indexed keywords

ALGORITHMS; DIFFRACTION; ELECTRIC FIELD EFFECTS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MAGNETOELECTRIC EFFECTS; OCEANOGRAPHY; REMOTE SENSING; SCATTERING; WAVE PROPAGATION;

DIELECTRIC SCATTERERS; ELECTROMAGNETIC SCATTERING; FAST MULTIPLE METHOD (FMM);

DIELECTRIC MATERIALS;

EID: 18344401268     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003rs002892     Document Type: Article

References (28)

1. Abramowitz, M., and I. A. Stegun (1970), Handbook of Mathematical Functions, Dover, Mineola, N. Y.
2. Brandt, A. (1991), Multilevel computations of integral transforms and particle interactions with oscillatory kernels, Comput. Phys. Commun., 65, 24-38.
3. Chew, W. C., J.-M. Jin, E. Michielssen, and J. Song (2001), Fast and Efficient Algorithms in Computational Electromagnetics, Artech House, Norwood, Mass.
4. Chow, Y. L., J. J. Yang, D. G. Fang, and G. E. Howard (1991), A closed-form spatial Green's function for the thick microstrip substrate, IEEE Trans. Microwave Theory Tech., 39, 588-592.
5. Coifman, R., V. Rokhlin, and S. Wandzura (1993), The fast multipole method for the wave equation: A pedestrian prescription, IEEE Antennas Propag. Mag., 35, 7-12.
6. Geng, N., A. Sullivan, and L. Carin (1999), Fast multipole method for scattering from 3D PEC targets situated in a half-space environment, Microwave Opt. Technol. Lett., 21, 399-405.
7. Geng, N., A. Sullivan, and L. Carin (2000), Multilevel fast-multipole algorithm for scattering from conducting targets above or embedded in a lossy half-space, IEEE Trans. Geosci. Remote Sens., 38, 1561-1573.
8. Geng, N., A. Sullivan, and L. Carin (2001), Fast multipole method for scattering from an arbitrary PEC target above or buried in a lossy half-space, IEEE Trans. Antennas Propag., 49, 740-748.
9. Harrington, R. F. (1968), Field Computations by Moment Methods, Macmillan, Old Tappan, N. J.
10. He, J. Q. (2001), MoM and MLFMA for scattering from dielectric target in layered medium environment, Ph.D. dissertation, Duke Univ., Durham, N. C.
11. He, J. Q., T. Yu, N. Geng, and L. Carin (2000), Method of moments analysis of electromagnetic scattering from a general three-dimensional dielectric target embedded in a multilayered medium, Radio Sci., 35, 303-313.
12. Lindell, I. V. (1992), Method for Electromagnetic Field Analysis, IEEE Press, Piscataway, N. J.
13. Lu, C. C., J. M. Song, and W. C. Chew (2000), A multilevel fast multipole algorithm for solving 3D volume integral equations of electromagnetic scattering, paper presented at Antennas and Propagation Society International Symposium, Inst. of Electr. and Electron. Eng., Salt Lake City, Utah.
14. Michalski, K. A., and D. Zheng (1990), Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Parts I and II, IEEE Trans. Antennas Propag., 38, 335-352.
15. Peterson, A. F., S. L. Ray, and R. Mittra (1998), Computational Methods for Electromagnetics, IEEE Press, Piscataway, N. J.
16. Rao, S. M., D. R. Wilton, and A. W. Glisson (1982), Electromagnetic scattering from surface of arbitrary shape, IEEE Trans. Antennas Propag., 30, 409-418.
17. Rokhlin, V. (1983), Rapid solution of integral equations of classical potential theory, J. Comput. Phys., 60, 187-207.
18. Rokhlin, V. (1990), Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys., 86, 414-439.
19. Sarkar, T. K., and E. Arvas (1985), On a class of finite step iterative methods (conjugate directions) for the solution of an operator equation arising in electromagnetics, IEEE Trans. Antennas Propag., 33, 1058-1066.
20. Schaubert, D. H., D. R. Wilton, and A. W. Glisson (1984), A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies, IEEE Trans. Antennas Propag., 32, 77-85.
21. Shubair, R. M., and Y. L. Chow (1993), A simple and accurate complex image interpretation of vertical antennas present in contiguous dielectric half-space, IEEE Trans. Antennas Propag., 41, 806-812.
22. Song, J. M., and W. C. Chew (1994), Fast multipole method solution using parametric geometry, Microwave Opt. Technol. Lett., 7, 760-765.
23. Song, J. M., and W. C. Chew (1995), Multilevel fast multipole algorithm for solving combined field integral equations of electromagnetic scattering, Microwave Opt. Technol. Lett., 10, 14-19.
24. Song, J. M., and W. C. Chew (2001), Interpolation of translation matrix in MLFMA, Microwave Opt. Technol. Lett., 30, 109-114.
25. Song, J. M., C. C. Lu, and W. C. Chew (1997), Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects, IEEE Trans. Antennas Propag., 45, 1488-1493.
26. Song, J. M., C. C. Lu, W. C. Chew, and S. W. Lee (1998), Fast Illinois solver code (FISC), IEEE Trans. Antennas Propag. Mag., 40, 27-33.
27. Wilton, D. R., S. M. Rao, A. W. Glisson, D. H. Schaubert, O. M. Al-Bundak, and C. M. Butler (1984), Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains, IEEE Trans. Antennas Propag., 32, 276-281,
28. Yang, J. J., Y. L. Chow, and D. G. Fang (1991), Discrete complex images of a three-dimensional dipole above and within a lossy ground, Proc. IEE, Part H, 138, 319-326.