One-step finite-difference time-domain algorithm to solve the Maxwell equations

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

Volumn 67, Issue 5 2, 2003, Pages

  De Raedt, H ^a   Michielsen, K ^a   Kole, J S ^a   Figge, M T ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELD THEORY; ERRORS; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; MAXWELL EQUATIONS; ONE DIMENSIONAL; PERMITTIVITY; POLYNOMIALS; TIME DOMAIN ANALYSIS; VECTORS;

FINITE DIFFERENCE TIME DOMAIN ALGORITHM; ONE STEP ALGORITHMS;

ALGORITHMS;

EID: 42749100963     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. K.S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
2. A. Taflove and S.C. Hagness, Computational Electrodynamics-The Finite-Difference Time-Domain Method (Artech House, Boston, 2000).
3. K.S. Kunz and R.J. Luebbers, Finite-Difference Time-Domain Method for Electromagnetics (CRC Press, Boca Raton, FL, 1993).
4. http://www.fdtd.org
5. F. Zheng, Z. Chen, and J. Zhang, IEEE Trans. Microwave Theory Tech. 48, 1550 (2000).
6. T. Namiki, IEEE Trans. Microwave Theory Tech. 48, 1743 (2001).
7. F. Zheng and Z. Chen, IEEE Trans. Microwave Theory Tech. 49, 1006 (2001).
8. W. Harshawardhan, Q. Su, and R. Grobe, Phys. Rev. E 62, 8705 (2000).
9. J.S. Kole, M.T. Figge, and H. De Raedt, Phys. Rev. E 64, 066705 (2001).
10. J.S. Kole, M.T. Figge, and H. De Raedt, Phys. Rev. E 65, 066705 (2002).
11. H. De Raedt, Comput. Phys. Rep. 7, 1 (1987).
12. O.P. Gandi, in Advances in Computational Electrodynamics-The Finite-Difference Time-Domain Method, edited by A. Taflove (Artech House, Boston, 1998).
13. B. Houshmand, T. Itoh, and M. Piket-May, in Advances in Computational Electrodynamics-The Finite-Difference Time-Domain Method, edited by A. Taflove (Artech House, Boston, 1998).
14. H. Tal-Ezer, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 23, 11 (1986).
15. H. Tal-Ezer, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 26, 1 (1989).
16. H. Tal-Ezer and R. Kosloff, J. Chem. Phys. 81, 3967 (1984).
17. C. Leforestier, R.H. Bisseling, C. Cerjan, M.D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karlein, H.-D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, J. Comput. Phys. 94, 59 (1991).
18. T. Iitaka, S. Nomura, H. Hirayama, X. Zhao, Y. Aoyagi, and T. Sugano, Phys. Rev. E 56, 1222 (1997).
19. R.N. Silver and H. Röder, Phys. Rev. E 56, 4822 (1997).
20. Y.L. Loh, S.N. Taraskin, and S.R. Elliott, Phys. Rev. Lett. 84, 2290 (2000)
21. Y.L. Loh, S.N. Taraskin, and S.R. Elliott, Phys. Rev. Lett. 84, 5028(E) (2000).
22. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1964).
23. J.H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965).
24. G.D. Smith, Numerical Solution of Partial Differential Equations (Clarendon Press, Oxford, 1985).
25. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
26. W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes, (Cambridge University Press, New York, 1986).
27. J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1962).
28. This also explains why the unconditionally stable algorithms T2S2 and T4S2 yield more accurate eigenvalue distributions than the Yee algorithm [9].
29. H. Sami Sözüer and J.W. Haus, J. Opt. Soc. Am. B 10, 296 (1993).