Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 2 2, 2003, Pages

  Chern, R L ^a,b   Chang, C Chung ^b   Chang, Chien C ^b   Hwang, R R ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DIELECTRIC MATERIALS; EIGENVALUES AND EIGENFUNCTIONS; ENERGY GAP; INVERSE PROBLEMS; PERMITTIVITY; POLARIZATION; SILICON;

BAND GAP; DIELECTRIC COLUMN; HEXAGONAL LATTICE; MULTIGRID ACCELERATION; PHOTONIC CRYSTAL; SLENDER RECTANGULAR ROD; TIME HARMONIC MODE;

CRYSTAL LATTICES;

EID: 42749108469     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
2. S. John, Phys. Rev. Lett. 58, 2486 (1987).
3. N. Garcia and A.Z. Genack, Phys. Rev. Lett. 66, 1850 (1991).
4. S. John, Phys. Today 44(5), 32 (1991).
5. S. Lin and G. Arjavalingam, J. Opt. Soc. Am. B 11, 2124 (1994).
6. T. Krauss et al., Nature (London) 383, 699 (1996).
7. J.S. Foresi, P.R. Villeneuve, J. Ferrera, E.R. Thoen, G. Steinmeyer, S. Fan, J.D. Joannopoulos, L.C. Kimerling, H.I. Smith, and E.P. Ippen, Nature (London) 390, 143 (1997).
8. A. Mekis, J.C. Chen, I. Kurland, S. Fan, P.R. Villeneuve, and J.D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
9. O. Painter, R.K. Lee, A. Scherer, A. Yariv, J.D. OBrien, P.D. Dapkus, and I. Kim, Science 284, 1819 (1999).
10. D.L. Bullock, C. Shih, and R.S. Margulies, J. Opt. Soc. Am. B 10, 399 (1993).
11. K.M. Leung and Y.F. Liu, Phys. Rev. Lett. 65, 2646 (1990).
12. Z. Zhang and S. Satpathy, Phys. Rev. Lett. 65, 2650 (1990).
13. K.M. Ho, C.T. Chan, and C.M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
14. H.S. Sözüer, J.W. Haus, and R. Inguva, Phys. Rev. B 45, 13 962 (1992).
15. L. Shen and A. He, J. Opt. Soc. Am. A 19, 1021 (2002).
16. R.D. Meade, A.M. Rappe, K.D. Brommer, J.D. Joannopoulos, and O.L. Alherhand, Phys. Rev. B 48, 8434 (1993).
17. P. Lalanne, Phys. Rev. B 58, 9801 (1998).
18. S.G. Johnson and J.D. Joannopoulos, Photonic Crystals (Kluwer Academic, Boston, 2002).
19. J.B. Pendry and A. MacKinnon, Phys. Rev. Lett. 69, 2772 (1992).
20. M.M. Sigalas, C.T. Chan, K.M. Ho, and C.M. Soukoulis, Phys. Rev. B 52, 11 744 (1995).
21. X. Wang, X.-G. Zhang, Q. Yu, and B.N. Harmon, Phys. Rev. B 47, 4161 (1993).
22. K.M. Leung and Y. Qiu, Phys. Rev. B 48, 7767 (1993).
23. C.T. Chan, Q.L. Yu, and K.M. Ho, Phys. Rev. B 51, 16 635 (1995).
24. A.J. Ward and J.B. Pendry, Phys. Rev. B 58, 7252 (1998).
25. D.C. Dobson, J. Comput. Phys. 149, 363 (1999).
26. W. Axmann and P. Kuchment, J. Comput. Phys. 150, 468 (1999).
27. D. Hermann, M. Frank, K. Busch, and P. Wolfle, Opt. Express 8, 167, (2001).
28. A. Brandt, S. McCormick, and J. Ruge, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 4, 244 (1983).
29. S.J. Cox and D.C. Dobson, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 59, 2108 (1999).
30. S.J. Cox and D.C. Dobson, J. Comput. Phys. 158, 215 (2000).
31. J.D. Joannoupoulos, R.D. Meade, and J.N. Winn, Photonic Crystals (Princeton University Press, Princeton, 1995).
32. B.N. Parlett, The Symmetric Eigenvalue Problem (SIAM, Philadelphia, 1998).
33. G.H. Golub and C.F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, London, 1996).
34. J.W. Demmel, Applied Numerical Linear Algebra (SIAM, Philadelphia, 1997).
35. U. Trottenberg, C. Oosterlee, and A. Schüller, Multigrid (Academic Press, London, 2001).
36. L. Shen, S. He, and S. Xiao, Phys. Rev. B 66, 165315 (2002).
37. N. Susa, J. Appl. Phys. 91, 3501 (2002).
38. M. Qiu and S. He, J. Opt. Soc. Am. B 17, 1027 (2000).
39. X.H. Wang, B.Y. Gu, Z.Y. Li, and G.Z. Yang, Phys. Rev. B 60, 11 417 (1999).
40. C.M. Anderson and K.P. Giapis, Phys. Rev. Lett. 77, 2949 (1996).