Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation

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

Volumn 27, Issue 2, 2010, Pages 308-318

  Shi, Yan ^a   Chan, Chi Hou ^b  

^a XIDIAN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTERPOLATION; OPTICAL RESONATORS; THREE DIMENSIONAL;

BASIS FUNCTIONS; COMPLEX-PERIODIC STRUCTURE; CONDUCTING OBJECTS; DIELECTRIC MEDIA; DIELECTRIC STRUCTURE; DOUBLY PERIODIC; FREQUENCY SELECTIVE STRUCTURES; INHOMOGENEOUS DIELECTRICS; MULTILEVEL GREEN'S FUNCTION INTERPOLATION METHODS; PERIODIC BOUNDARY CONDITIONS; PHOTONIC BAND-GAP STRUCTURES; QUADRILATERAL ELEMENTS; SPLIT RING RESONATOR; SURFACE INTEGRAL EQUATIONS; UNIT CELLS; VOLUME INTEGRAL EQUATION;

PERIODIC STRUCTURES;

EID: 76749140988     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.27.000308     Document Type: Article

References (33)

1. R. Mittra, C. H. Chan, and T. Cwik, "Techniques for analyzing frequency selective surfaces-a review," IEEE Proc. 76, 1593-1615 (1988).
2. K. Yasumoto, Electromagnetic Theory and Applications for Photonic Crystals (Optical Engineering) (CRC Press, 2005).
3. H. Y. D. Yang, R. Diaz, and N. G. Alexopoulos, "Reflection and transmission of waves from multilayer structures with planar implanted periodic material blocks," J. Opt. Soc. Am. B 14, 2513-2521 (1997).
4. N. Engheta and R. W. Ziolkowski, Metamaterials: Physics and Engineering Explorations (Wiley-Interscience, 2006).
5. J. M. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (Wiley, 2002).
6. J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics: Antennas, Microwave Circuits, and Scattering Applications (IEEE Press, 1998).
7. S. D. Gedney, J. F. Lee, and R. Mittra, "A combined FEM/MoM approach to analyze the plane wave diffraction by arbitrary gratings," IEEE Trans. Microwave Theory Technol. 40, 363-370 (1992).
8. T. F. Eibert, J. L. Volakis, D. R. Wilton, and D. R. Jackson, "Hybrid FE/BI modeling of 3-D doubly periodic structures utilizing triangular prismatic elements and an MPIE formulation accelerated by the Ewald transformation," IEEE Trans. Antennas Propag. 47, 843-850 (1999).
9. R. A. Kipp and C. H. Chan, "A numerically efficient technique for the method of moments solution for periodic structures in layered media," IEEE Trans. Microwave Theory Technol. 42, 635-643 (1994).
10. L. C. Trintinalia and H. Ling, "Integral equation modeling of multilayered doubly-periodic lossy structures using periodic boundary condition and a connection scheme," IEEE Trans. Antennas Propag. 52, 2253-2261 (2004).
11. C. F. Yang, W. D. Burnside, and R. C. Rudduck, "A doubly periodic moment method solution for the analysis and design of an absorber covered wall," IEEE Trans. Antennas Propag. 41, 600-609 (1993).
12. I. Stevanovic, P. C. Valero, K. Blagovic, F. Bongard, and J. R. Mosig, "Integral equation analysis of 3-D metallic objects arranged in 2-D lattices using the Ewald transformation," IEEE Trans. Microwave Theory Technol. 54, 3688-3697 (2006).
13. M. Bozzi and L. Perregrini, "Analysis of multilayered printed frequency selective surfaces by the MoM/BI-REM method," IEEE Trans. Antennas Propag. 51, 2830-2836 (2003).
14. V. Rokhlin, "Rapid solution of integral equations of classic potential theory," J. Comput. Phys. 60, 187-207 (1985).
15. W. C. Chew, J. M. Jin, E. Michielssen, and J. M. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).
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 Technol. 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 Technol. 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. Integr. Circuits Syst. 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 lowfrequency EM simulations," IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 24, 1427-1443 (2005).
23. H. G. Wang and C. H. Chan, "The implementation of multilevel Green's function interpolation method for fullwave electromagnetic problems," IEEE Trans. Antennas Propag. 55, 1348-1358 (2007).
24. 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).
25. Y. Shi, H. G. Wang, L. Li, and C. H. Chan, "Multilevel Green's function interpolation method for scattering from composite metallic and dielectric objects," J. Opt. Soc. Am. A 25, 2535-2548 (2008).
26. Y. Shi and C. H. Chan, "Solution to electromagnetic scattering by bi-isotropic media using multilevel Green's function interpolation method," PIER 97, 259-274 (2009).
27. P. P. Ewald, "Die Berechnung optischer und elektrostatischer Gitterpotentiale," Ann. Phys. 64, 253-287 (1921).
28. K. E. Jordan, G. R. Richter, and P. Sheng, "An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures," J. Comput. Phys. 63, 222-235 (1986).
29. D. H. Schaubert, D. R. Wilton, and A. W. Glisson, "A tetrahedral modeling method for electromagnetic scattering by arbitrary shaped inhomogeneous dielectric bodies," IEEE Trans. Antennas Propag. 32, 77-85 (1984).
30. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag. 30, 409-418 (1982).
31. F. S. Johansson, "Frequency-scanned gratings consisting of photo-etched arrays," IEEE Trans. Antennas Propag. 37, 996-1002 (1989).
32. E. Ozbay, A. Abeyta, G. Tuttle, 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).
33. T. Koschny, P. Markos, D. R. Smith, and C. M. Soukoulis, "Resonant and antiresonant frequency dependence of the effective parameters of metamaterials," Phys. Rev. E 68, 065602 (2003).