Multilevel Green's function interpolation method for scattering from composite metallic and dielectric objects

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 25, Issue 10, 2008, Pages 2535-2548

  Shi, Yan ^a,c   Wang, Hao Gang ^b   Li, Long ^c   Chan, Chi Hou ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b ZHEJIANG UNIVERSITY   (China)

^c XIDIAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNA ARRAYS; ANTENNAS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTERPOLATION; MICROSTRIP ANTENNAS; MICROWAVE ANTENNAS; PROBABILITY DENSITY FUNCTION; TWO DIMENSIONAL;

COMPUTER MEMORIES; CONDUCTING BODIES; CPU TIME; DIELECTRIC OBJECTS; ELECTROMAGNETIC SCATTERINGS; FUNCTION INTERPOLATIONS; HOMOGENEOUS DIELECTRICS; HYBRID PARTITIONING; INTERPOLATION TECHNIQUES; KEY PARAMETERS; LOCAL STRUCTURES; MICROSTRIP ANTENNA ARRAYS; MULTI-LEVEL PARTITIONING; MULTILEVEL GREEN'S FUNCTION INTERPOLATION METHODS; NUMERICAL EXAMPLES; PHOTONIC BAND GAP STRUCTURES; SELECTION CRITERION; SURFACE INTEGRAL EQUATIONS;

GREEN'S FUNCTION;

EID: 60049094071     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.25.002535     Document Type: Article

References (33)

1. R. R Harrington, Field Computation by Moment Methods (IEEE, 1993).
2. J. M. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (Wiley, 1993).
3. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2005).
4. X. Q. Sheng, J. M. Jin, J. M. Song, W. C. Chew, and C. C. Lu, "Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies," IEEE Trans. Antennas Propag. 46, 1718-1726 (1998).
5. B. M. Kolundzija, "Electromagnetic modeling of composite metallic and dielectric structures," IEEE Trans. Microwave Theory Tech. 47, 1021-1032 (1999).
6. K. C. Donepudi, J. M. Jin, and W. C. Chew, "A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies," IEEE Trans. Antennas Propag. 51, 2814-2821 (2003).
7. P. Y. Oijala, M. Taskinen, and J. Sarvas, "Surface integral equation method for general composite metallic and dielectric structures with junctions," Prog. Electromagn. Res. PIER 52, 81-108 (2005).
8. B. M. Kolundzija and A. R. Djordjevic, Electromagnetic Modeling of Composite Metallic and Dielectric Structure (Artech House, 2002).
9. V. Rokhlin, "Rapid solution of integral equations of classic potential theory," J. Comput. Phys. 60, 187-207 (1985).
10. L. Greengard and V. Rokhlin, "A fast algorithm for particle simulations," J. Comput. Phys. 73, 325-348 (1987).
11. E. Darve, "The fast multipole method: numerical implementation, " J. Comput. Phys. 160, 195-240 (2000).
12. C. C. Lu and W. C. Chew, "A multilevel algorithm for solving a boundary integral equation of wave scattering," Microwave Opt. Technol. Lett. 7, 456-461 (1994).
13. J. M. Song, C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag. 45, 1488-1493 (1997).
14. W. C. Chew, J. M. Jin, E. Michielssen, and J. M. Song, Fast and Efficient Algorithms in. Computational Electromagnetics (Artech House, 2001).
15. N. Yarvin and V. Rokhlin, "A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics," J. Comput. Phys. 147, 594-609 (1998).
16. E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, "AIM: adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci. 31, 1225-1251 (1996).
17. F. Ling, C. F. Wang, and J. M. Jin, "An efficient algorithm for analyzing large-scale microstrip structures using adaptive integral method combined with discrete complex image method," IEEE Trans. Microwave Theory Tech. 48, 832-837 (2000).
18. C. H. Chan, C. M. Lin, L. Tsang, and Y. F. Leung, "A sparse-matrix/canonical grid method for analyzing microstrip structures," IEICE Trans. Electron. E80-C, 1354-1359 (1997).
19. S. Q. Li, Y. X. Yu, C. H. Chan, K. F. Chan, and L. Tsang, "A sparse-matrix/canonical grid method for analyzing densely packed interconnects," IEEE Trans. Microwave Theory Tech. 49, 1221-1228 (2001).
20. J. R. Phillips and J. K. White, "A precorrected-FFT method for electrostatic analysis of complicated 3-D structures," IEEE Trans. Comput.-Aided Des. 16, 1059-1072 (1997).
21. X. C. Nie, N. Yuan, L. W. Li, Y. B. Gan, and T. S. Yeo, "A fast volume-surface integral equation solver for scattering from composite conducting-dielectric objects," IEEE Trans. Antennas Propag. 52, 818-824 (2005).
22. H. G. Wang, C. H. Chan, and L. Tsang, "A new multilevel Green's function interpolation method for large-scale low-frequency EM simulations," IEEE Trans. Comput.-Aided Des. 24, 1427-1443 (2005).
23. H. G. Wang and C. H. Chan, "The implementation of multilevel Green's function interpolation method for full-wave electromagnetic problems," IEEE Trans. Antennas Propag. 55, 1348-1358 (2007).
24. A. Brandt, "Multilevel computations of integral transforms and particle interactions with oscillatory kernels," Comput. Phys. Commun. 65, 24-38 (1991).
25. L. Li, H. G. Wang, and C. H. Chan, "A novel interpolation scheme for full-wave electromagnetic simulations," presented at the International Symposium on Antennas and Propagation (ISAP), Singapore, 2006.
26. L. Li, H. G. Wang, and C. H. Chan, "An improved multilevel Green's function interpolation method with adaptive phase compensation for large-scale full-wave EM simulation," IEEE Trans. Antennas Propag. 56, 1381-1393 (2008).
27. R. D. Graglia, D. R. Wilton, and A. F. Peterson, "Higher order interpolatory vector bases for computational electromagnetics," IEEE Trans. Antennas Propag. 45, 329-342 (1997).
28. Y. Saad and M. Schultz, "GMRES: A generalized minimal residual algorithm for solving non symmetric linear systems," SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856-869 (1986).
29. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis (Cambridge U. Press, 1991).
30. Y. A. Liu and W. C. Chew, "Stability of surface integral equation for left-handed materials," IET Proc. Microwaves, Antennas Propag. 1, 84-89 (2007).
31. D. L. Smith, L. N. M. Mitschang, and D. W. Forester, "Surface integral equation formulations for left-handed materials," Prog. Electromagn. Res. PIER 51, 27-48 (2005).
32. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, "Photonic band gaps in three dimensions: new layer-by-layer periodic structures," Solid State Commun. 89, 413-416 (1994).
33. E. Ozbay, A. Abeyta, G. Turtle, M. C. Tringides, R. Biswas, M. Sigalas, C. M. Soukoulis, C. T. Chan, and K. M. Ho, "Measurement of a three-dimensional photonic band gap in a crystal structure made of dielectric rods," Phys. Rev. B 50, 1945-1948 (1994).